Tooth surface three-dimensional ripple extraction method and device based on two-dimensional Fourier transform

Abstract

The invention relates to a tooth surface analysis technology, and discloses a tooth surface three-dimensional ripple extraction method based on two-dimensional Fourier transform, which comprises the following steps of: acquiring tooth surface deviation data, mapping the tooth surface deviation data to a two-dimensional plane, removing bulging components in a deviation distribution diagram, and performing two-dimensional Fourier transform to obtain a two-dimensional amplitude-frequency diagram; performing amplitude conversion processing on two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency graph to obtain a two-dimensional bright spot amplitude-frequency graph; extracting bright spot information in the two-dimensional bright spot amplitude frequency graph; extracting the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the corresponding bright spot position; and extracting amplitude ripples reaching a preset amplitude height, and obtaining three-dimensional data of the amplitude ripples based on two-dimensional Fourier inversion to draw tooth surface three-dimensional ripples. The invention further provides a tooth surface three-dimensional ripple extraction device based on two-dimensional Fourier transform, electronic equipment and a storage medium. According to the method, waviness components causing abnormal noise in the machining process can be accurately recognized, and the accuracy of finding noise sources in the gear machining process is improved.

Description

Technical Field

[0001] The present invention relates to the technical field of tooth surface analysis, and in particular to a method and device for extracting three-dimensional tooth surface ripples based on two-dimensional Fourier transform. Background Art

[0002] New energy vehicles have the advantages of high energy efficiency, low usage cost, good driving performance, etc. With huge market potential, they have been vigorously developed and popularized. Since electric vehicles do not have the noise of the internal combustion engine in traditional fuel vehicles, any vibration and noise from the transmission will be more obvious, which requires the gears running at high speed in the transmission to have lower noise. Continuous generating grinding has the characteristics of high efficiency and strong adaptability, and has become the main method for finishing helical gears in new energy vehicles. The tooth profile, helix error, roughness, etc. of the processed gears are stable and controllable, but the formation of waviness cannot be controlled, which becomes the main reason for inducing gearbox noise. Therefore, the measurement of helical gears and the acquisition of the full tooth surface waviness information are crucial for controlling the magnitude of gear noise.

[0003] Currently, to evaluate the tooth surface waviness, the tooth surface deviation data in the tooth profile and helix directions are measured, and the shape error is removed by polynomial fitting to obtain the waviness deviation curves of the single tooth surface in the tooth profile and helix directions. Then, the tooth profile and helix waviness of the single tooth surface are connected respectively to obtain the waviness of the entire circumference of the gear. Through one-dimensional fast Fourier transform (FFT), the amplitude-frequency diagram of the waviness is obtained. After calculating the order of the tooth surface waviness, the noise source is located by judging the position of the abnormal order.

[0004] Since three-dimensional waviness consists of three information: amplitude, frequency, and direction, and for the previous evaluation method that only considered the waviness in the tooth profile and helix directions, the direction information of the waviness was not considered. Since the tooth surface waviness of helical gears may not be along the end face tooth profile and helix directions, but is distributed at a certain angle between the two directions, the spectral information obtained by one-dimensional fast Fourier transform is incorrect, and the waviness deviation of the tooth surface cannot be accurately restored, resulting in a low accuracy in finding the noise source during the gear processing. Summary of the Invention

[0005] The present invention provides a method and device for extracting three-dimensional tooth surface ripples based on two-dimensional Fourier transform, which can accurately identify the waviness components that cause abnormal noise during the processing, and improve the accuracy of finding the noise source during the gear processing.

[0006] To achieve the above object, a method for extracting three-dimensional tooth surface ripples based on two-dimensional Fourier transform provided by the present invention includes:

[0007] Obtain the sampling interval of the tooth surface, and collect the tooth surface deviation data based on the sampling interval by using the tooth surface topology measurement method;

[0008] Map the tooth surface deviation data to a two-dimensional plane to obtain a deviation distribution map, and perform a two-dimensional Fourier transform on the deviation distribution map after removing the drum component to obtain a two-dimensional amplitude-frequency map;

[0009] Perform a coordinate origin translation on the two-dimensional amplitude-frequency map, and perform an amplitude conversion process on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency map to obtain a centrally symmetric two-dimensional bright point amplitude-frequency map;

[0010] Convert the coordinate frequency axis in the two-dimensional bright point amplitude-frequency map into gear order information, and update the two-dimensional bright point amplitude-frequency map according to the gear order information to obtain an updated two-dimensional bright point amplitude-frequency map. Extract the bright point information in the two-dimensional bright point amplitude-frequency map according to the updated two-dimensional bright point amplitude-frequency map;

[0011] Query the bright point position corresponding to the bright point information, and extract the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright point position;

[0012] Extract the amplitude ripple whose maximum amplitude ripple reaches the preset amplitude height, and obtain the three-dimensional data of the amplitude ripple based on the inverse two-dimensional Fourier transform. Extract the real part in the three-dimensional data to draw the three-dimensional tooth surface ripple.

[0013] Optionally, the obtaining the sampling pitch of the tooth surface and collecting the tooth surface deviation data by using the tooth surface topology measurement method based on the sampling pitch includes:

[0014] Calculate the sampling pitch of the tooth surface by using Nyquist sampling;

[0015] Collect the end face normal deviation data according to the sampling pitch along the tooth profile end face angle of the tooth surface;

[0016] Measure the tooth profile deviation curve at equal distances along the tooth direction of the tooth surface;

[0017] Summarize the end face normal deviation data and the tooth profile deviation curve to obtain the tooth surface deviation data.

[0018] Optionally, the removing the drum component in the deviation distribution map includes: fitting the drum component of each tooth surface deviation data in the deviation distribution map by using a quadratic polynomial formula, and subtracting the drum component from each tooth surface deviation data in the deviation distribution map to obtain a normal deviation distribution map.

[0019] Optionally, the performing a coordinate origin translation on the two-dimensional amplitude-frequency map includes:

[0020] Divide the two-dimensional amplitude-frequency map into upper and lower halves and swap the data positions to obtain an upper and lower split two-dimensional amplitude-frequency map;

[0021] Divide the upper and lower split two-dimensional amplitude-frequency map into left and right halves and swap the data positions to obtain a divided two-dimensional amplitude-frequency map;

[0022] Determine the coordinate center point based on the divided two-dimensional amplitude-frequency diagram, use the coordinate center point as the new coordinate origin, and translate the original coordinate origin to the new coordinate origin.

[0023] Optionally, the amplitude conversion process of the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram to obtain a centrosymmetric two-dimensional bright-point amplitude-frequency diagram includes:

[0024] Perform amplitude conversion on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram using the following formula:

[0025]

[0026] where A is the amplitude data of the converted ripple, m is the number of columns of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, n is the number of rows of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, and |F(u,v)| is the frequency spectrum diagram. where R(u,v) is the real part of the two-dimensional Fourier transform result, I(u,v) is the imaginary part of the two-dimensional Fourier transform result, and u and v are the positions of the tooth surface deviation data after the two-dimensional Fourier transform.

[0027] Optionally, before extracting the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright point position, it further includes filtering the bright point position and the two-dimensional amplitude-frequency data around the bright point position affected by the spectral interference signal.

[0028] Optionally, after removing the drum component in the deviation distribution diagram and then performing two-dimensional Fourier transform, it includes:

[0029] Perform two-dimensional Fourier transform using the following formula:

[0030]

[0031] where m is the number of columns of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, n is the number of rows of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, u and v are the positions of the tooth surface deviation data after the two-dimensional Fourier transform, f(x,y) is the two-dimensional discrete tooth surface deviation data of (m×n) obtained by equally spaced sampling according to the sampling interval, and (x,y) in f(x,y) is the randomly divided area in the deviation distribution diagram, x is the abscissa of the area, and y is the ordinate of the area.

[0032] To solve the above problems, the present invention also provides a tooth surface three-dimensional ripple extraction device based on two-dimensional Fourier transform, and the device includes:

[0033] A data acquisition module, configured to acquire the sampling interval of the tooth surface, and collect tooth surface deviation data based on the sampling interval using the tooth surface topology measurement method;

[0034] The amplitude-frequency diagram construction module is used to map the tooth surface deviation data to a two-dimensional plane to obtain a deviation distribution diagram, and perform a two-dimensional Fourier transform on the deviation distribution diagram after removing the drum component to obtain a two-dimensional amplitude-frequency diagram; perform a coordinate origin translation on the two-dimensional amplitude-frequency diagram, and perform an amplitude conversion process on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram to obtain a centrosymmetric two-dimensional bright spot amplitude-frequency diagram;

[0035] The tooth surface three-dimensional ripple generation module is used to convert the coordinate frequency axis in the two-dimensional bright spot amplitude-frequency diagram into gear order information, and update the two-dimensional bright spot amplitude-frequency diagram according to the gear order information to obtain an updated two-dimensional bright spot amplitude-frequency diagram, and extract the bright spot information in the two-dimensional bright spot amplitude-frequency diagram according to the updated two-dimensional bright spot amplitude-frequency diagram; query the bright spot position corresponding to the bright spot information, and extract the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright spot position; extract the amplitude ripple when the maximum amplitude ripple reaches a preset amplitude height, and obtain the three-dimensional data of the amplitude ripple based on the inverse two-dimensional Fourier transform, and extract the real part in the three-dimensional data to draw the tooth surface three-dimensional ripple.

[0036] To solve the above problems, the present invention also provides an electronic device, and the electronic device includes:

[0037] At least one processor; and,

[0038] A memory communicatively connected to the at least one processor; wherein,

[0039] The memory stores a computer program executable by the at least one processor, and the computer program is executed by the at least one processor so that the at least one processor can execute the above-mentioned tooth surface three-dimensional ripple extraction method based on two-dimensional Fourier transform.

[0040] To solve the above problems, the present invention also provides a computer-readable storage medium, and at least one computer program is stored in the computer-readable storage medium, and the at least one computer program is executed by a processor in an electronic device to implement the above-mentioned tooth surface three-dimensional ripple extraction method based on two-dimensional Fourier transform.

[0041] Based on the sampling interval, the present invention uses the tooth surface topology measurement method to collect tooth surface deviation data, which can achieve full-tooth surface coverage acquisition of three-dimensional tooth surface deviation data. Based on the precise control of the sampling interval, it can ensure that the data density meets the requirements of waviness high-frequency feature analysis. Moreover, after removing the drum component in the deviation distribution map and performing two-dimensional Fourier transform, removing the drum component in the deviation distribution map can effectively avoid the interference of low-frequency noise on spectrum analysis. In addition, after processing with coordinate origin translation and amplitude conversion, a two-dimensional bright point amplitude-frequency map with central symmetry is generated, which can make the waviness components in different directions and high and low frequencies form symmetric bright points in the frequency domain. In addition, by converting the frequency axis into gear orders, it can be realized that the spectrum information is directly associated with the actual rotation characteristics of the gear, which is convenient to locate abnormal orders according to the gear design parameters, and the noise source can be directly obtained according to the abnormal orders. And by presetting the amplitude threshold to screen the waviness components that significantly affect the noise, the secondary noise interference signals are excluded, and the waviness components that cause abnormal noise in the gear processing process are accurately identified, so as to improve the accuracy of finding the noise source in the gear processing process. Description of the Drawings

[0042] Figure 1 It is a schematic flow chart of a tooth surface three-dimensional waviness extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention;

[0043] Figure 2 It is a schematic flow chart of an embodiment of a tooth surface three-dimensional waviness extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention;

[0044] Figure 3 It is a schematic diagram of mapping the tooth surface of a tooth surface three-dimensional waviness extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention to a two-dimensional parameter plane;

[0045] Figure 4 It is a tooth surface deviation map after removing the drum component of a tooth surface three-dimensional waviness extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention;

[0046] Figure 5 It is a two-dimensional amplitude-frequency map of a tooth surface three-dimensional waviness extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention;

[0047] Figure 6 It is a schematic diagram of the maximum amplitude waviness direction of a tooth surface three-dimensional waviness extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention;

[0048] Figure 7 It is a two-dimensional amplitude-frequency map of extracting the first 4 amplitude wavinesses of a tooth surface three-dimensional waviness extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention;

[0049] Figure 8The three-dimensional tooth surface ripple generated after extracting the first 4 amplitude ripples by the three-dimensional tooth surface ripple extraction method based on two-dimensional Fourier transform provided in an embodiment of the present invention;

[0050] Figure 9 The functional module diagram of a three-dimensional tooth surface ripple extraction device based on two-dimensional Fourier transform provided in an embodiment of the present invention;

[0051] Figure 10 The structural schematic diagram of an electronic device for implementing the three-dimensional tooth surface ripple extraction method based on two-dimensional Fourier transform provided in an embodiment of the present invention.

[0052] The realization, functional characteristics and advantages of the object of the present invention will be further described with reference to the embodiments and the accompanying drawings. Detailed implementation manners

[0053] It should be understood that the specific embodiments described herein are only used to explain the present invention and are not used to limit the present invention.

[0054] An embodiment of the present application provides a three-dimensional tooth surface ripple extraction method based on two-dimensional Fourier transform. The execution subject of the three-dimensional tooth surface ripple extraction method based on two-dimensional Fourier transform includes, but is not limited to, at least one of electronic devices such as a server, a terminal, etc. that can be configured to execute the method provided in the embodiment of the present application. In other words, the three-dimensional tooth surface ripple extraction method based on two-dimensional Fourier transform can be executed by software or hardware installed on a terminal device or a server device, and the software can be a blockchain platform. The server includes, but is not limited to: a single server, a server cluster, a cloud server or a cloud server cluster, etc. The server can be an independent server or a cloud server that provides basic cloud computing services such as cloud services, cloud databases, cloud computing, cloud functions, cloud storage, network services, cloud communications, middleware services, domain name services, security services, Content Delivery Network (CDN), and big data and artificial intelligence platforms.

[0055] Refer to Figure 1 As shown, it is the flow schematic diagram of the three-dimensional tooth surface ripple extraction method based on two-dimensional Fourier transform provided in an embodiment of the present invention. In this embodiment, the three-dimensional tooth surface ripple extraction method based on two-dimensional Fourier transform includes:

[0056] S1. Obtain the sampling pitch of the tooth surface, and collect the tooth surface deviation data based on the sampling pitch by using the tooth surface topology measurement method.

[0057] In the embodiments of the present invention, the tooth surface topology measurement method refers to a high-precision gear detection technology based on three-dimensional topography analysis. It is a measurement method that generates an error topology map through discretized sampling and data processing to reveal the distribution law of tooth surface deviations.

[0058] As an embodiment of the present invention, obtaining the sampling pitch of the tooth surface and collecting tooth surface deviation data using the tooth surface topology measurement method based on the sampling pitch includes:

[0059] Calculating the sampling pitch of the tooth surface using Nyquist sampling;

[0060] Collecting end face normal deviation data at equal angles along the tooth profile end face angle of the tooth surface according to the sampling pitch;

[0061] Measuring the tooth profile deviation curve at equal distances along the tooth direction of the tooth surface;

[0062] Summarizing the end face normal deviation data and the tooth profile deviation curve to obtain the tooth surface deviation data.

[0063] Exemplarily, to calculate the sampling pitch of the tooth surface using Nyquist sampling, the following implementation steps can be adopted:

[0064] f m = max{f 1 , f 2 , f 3 ,..., f n}

[0065]

[0066] In the formula, f 1 , f 2 , f 3 ,..., f n is the frequency of a single sine wave, Δs is the sampling pitch, r b is the base circle radius, Δθ is the measurement rotation angle. Exemplarily, if the short wavelength is measured as 0.25 mm, then f m = 4, the maximum value of Δs is 0.125 mm, then the maximum measurement interval of the tooth profile deviation line in the tooth width direction is 0.125 mm, and the measurement rotation angle in the tooth profile direction is 0.0706°.

[0067] In the embodiments of the present invention, after removing 10% of the distances at both ends of the tooth profile and tooth direction as the evaluation range, during measurement, first collect end face normal deviation data at equal angles within the evaluation range along the tooth profile end face, and measure the tooth profile deviation curve at equal distances within the evaluation range along the tooth width direction.

[0068] In the embodiments of the present invention, the tooth profile end face angle of the tooth surface refers to the tooth profile pressure angle of the gear in the end face (a plane perpendicular to the gear axis), and is specifically defined as the acute angle formed by the involute tooth profile and the radial line at the pitch circle.

[0069] In the embodiments of the present invention, the tooth direction of the tooth surface refers to the directional characteristics of the gear teeth in space, mainly describing the relationship between the extension direction of the teeth and the gear axis.

[0070] S2. Map the tooth surface deviation data to a two-dimensional plane to obtain a deviation distribution map, and perform a two-dimensional Fourier transform after removing the drum component in the deviation distribution map to obtain a two-dimensional amplitude-frequency map.

[0071] In the embodiments of the present invention, the drum component refers to the protrusion amount of the middle region of the tooth surface or tooth direction relative to the theoretically designed tooth profile, which is manifested as the protrusion of the actual tooth profile / tooth direction curve deviating from the theoretical straight line or standard curve in the tooth width direction.

[0072] As an embodiment of the present invention, removing the drum component in the deviation distribution map includes: using a quadratic polynomial formula to fit the drum component of each tooth surface deviation data in the deviation distribution map, and subtracting the drum component from each tooth surface deviation data in the deviation distribution map to obtain a normal deviation distribution map.

[0073] Further, performing a two-dimensional Fourier transform after removing the drum component in the deviation distribution map includes:

[0074] The two-dimensional Fourier transform is performed using the following formula:

[0075]

[0076] where m is the number of columns of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, n is the number of rows of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, u and v are the positions of the tooth surface deviation data after the two-dimensional Fourier transform, f(x, y) is the two-dimensional discrete tooth surface deviation data of (m×n) obtained by equally spaced sampling according to the sampling interval, (x, y) in f(x, y) is the randomly divided area in the deviation distribution map, x is the abscissa of the area, and y is the ordinate of the area.

[0077] S3. Perform a translation of the coordinate origin on the two-dimensional amplitude-frequency map, and perform an amplitude conversion process on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency map to obtain a two-dimensional bright point amplitude-frequency map with central symmetry.

[0078] As an embodiment of the present invention, performing a translation of the coordinate origin on the two-dimensional amplitude-frequency map includes:

[0079] Divide the two-dimensional amplitude-frequency map into upper and lower halves and swap the data positions to obtain an upper and lower split two-dimensional amplitude-frequency map;

[0080] Divide the upper and lower split two-dimensional amplitude-frequency map into left and right halves and swap the data positions to obtain a divided two-dimensional amplitude-frequency map;

[0081] Determine the coordinate center point based on the divided two-dimensional amplitude-frequency diagram, use the coordinate center point as the new coordinate origin, and translate the original coordinate origin to the new coordinate origin.

[0082] Further, perform amplitude conversion processing on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram to obtain a centrosymmetric two-dimensional bright point amplitude-frequency diagram, including:

[0083] Perform amplitude conversion processing on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram using the following formula:

[0084]

[0085] where A is the amplitude data of the converted ripple, m is the number of columns of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, n is the number of rows of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, and |F(u, v)| is the frequency spectrum diagram. where R(u, v) is the real part of the two-dimensional Fourier transform result, I(u, v) is the imaginary part of the two-dimensional Fourier transform result, and u and v are the positions of the tooth surface deviation data after two-dimensional Fourier transform.

[0086] S4. Convert the coordinate frequency axis in the two-dimensional bright point amplitude-frequency diagram into gear order information, update the two-dimensional bright point amplitude-frequency diagram according to the gear order information to obtain an updated two-dimensional bright point amplitude-frequency diagram, and extract the bright point information in the two-dimensional bright point amplitude-frequency diagram according to the updated two-dimensional bright point amplitude-frequency diagram.

[0087] In the embodiment of the present invention, the bright point information refers to the spectral peak characteristics.

[0088] In the embodiment of the present invention, to convert the coordinate frequency axis in the two-dimensional bright point amplitude-frequency diagram into gear order information, the following formula can be used:

[0089] O = l × f

[0090] where O is the gear order, l is the evaluation length of the tooth profile / tooth direction waviness, and f is the tooth profile / tooth direction ripple frequency.

[0091] In the embodiment of the present invention, the abscissa of the updated two-dimensional bright point amplitude-frequency diagram is the tooth profile order, and the ordinate is the tooth direction order.

[0092] S5. Query the bright point position corresponding to the bright point information, and extract the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright point position.

[0093] In the embodiment of the present invention, the bright point information in the updated two-dimensional bright point amplitude-frequency diagram is identified by a threshold method or a peak detection algorithm, and the bright point position is recorded. The bright point position corresponding to the bright point information is queried among the recorded bright point positions.

[0094] In the embodiment of the present invention, the bright point position refers to the amplitude peak region.

[0095] As an embodiment of the present invention, before extracting the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright point position, it further includes filtering the bright point position and the two-dimensional amplitude-frequency data around the bright point position affected by the spectral interference signal.

[0096] S6. Extract the amplitude ripple whose maximum amplitude ripple reaches the preset amplitude height, obtain the three-dimensional data of the amplitude ripple based on the two-dimensional inverse Fourier transform, and extract the real part in the three-dimensional data to draw the three-dimensional ripple image of the tooth surface.

[0097] Based on the sampling interval, the present invention uses the tooth surface topology measurement method to collect the tooth surface deviation data, which can realize the full-tooth surface coverage collection of the three-dimensional tooth surface deviation data. Based on the precise control of the sampling interval, it can ensure that the data density meets the requirements of the waviness high-frequency feature analysis. Moreover, after removing the drum component in the deviation distribution map and performing the two-dimensional Fourier transform, removing the drum component in the deviation distribution map can effectively avoid the interference of low-frequency noise on the spectral analysis. In addition, after the coordinate origin translation and amplitude conversion processing, a two-dimensional bright point amplitude-frequency diagram with central symmetry is generated, which can make the waviness components in different directions and high and low frequencies form symmetric bright points in the frequency domain. In addition, by converting the frequency axis into the gear order, it can be realized that the spectral information is directly associated with the actual rotation characteristics of the gear, which is convenient to locate the abnormal order according to the gear design parameters, and the noise source can be directly obtained according to the abnormal order, and the waviness components significantly affecting the noise are screened through the preset amplitude threshold, excluding the secondary noise interference signal, accurately identifying the waviness components causing abnormal noise in the gear processing process, and improving the accuracy of finding the noise source in the gear processing process.

[0098] As Figure 2 shown, it is a schematic flow chart of an embodiment of the tooth surface three-dimensional ripple extraction method based on the two-dimensional Fourier transform provided by an embodiment of the present invention.

[0099] As Figure 3 shown, it is a schematic diagram of mapping the tooth surface of the tooth surface three-dimensional ripple extraction method based on the two-dimensional Fourier transform provided by an embodiment of the present invention to the two-dimensional parameter plane.

[0100] As Figure 4 shown, it is the tooth surface deviation map after removing the drum component of the tooth surface three-dimensional ripple extraction method based on the two-dimensional Fourier transform provided by an embodiment of the present invention.

[0101] As Figure 5 shown, it is the two-dimensional amplitude-frequency diagram of the tooth surface three-dimensional ripple extraction method based on the two-dimensional Fourier transform provided by an embodiment of the present invention.

[0102] As Figure 6As shown, it is a schematic diagram of the direction of the maximum amplitude ripple of the tooth surface three-dimensional ripple extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention.

[0103] In the embodiment of the present invention, the vertical axis and the horizontal axis in the figure respectively represent the vertical and horizontal frequency components of the ripple, and the center point represents zero frequency. The calculation formula for the angle between the bright line and the horizontal direction is as follows:

[0104]

[0105] In the formula, ψ is the angle formed by the connection line of the bright points and the horizontal direction, y 1 and y 2 are the column numbers where the bright points 1 and 2 are located, x 1 and x 2 are the row numbers where the bright points 1 and 2 are located. In the embodiment of the present invention, the angle between the connection line of the bright point of the maximum amplitude ripple and the center and the horizontal direction is 31.24 degrees.

[0106] As Figure 7 shown, it is a two-dimensional amplitude-frequency diagram of extracting the first 4 amplitude ripples of the tooth surface three-dimensional ripple extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention.

[0107] The formula for each ripple is in the form of:

[0108] z = A sin(2πf x x + 2πf y y + φ)

[0109] In the formula, A is the amplitude of the wave, f x is the frequency component in the tooth profile direction, f is the frequency component in the tooth direction, and φ is the phase angle.

[0110] As Figure 8 shown, it is the tooth surface three-dimensional ripple generated after extracting the first 4 amplitude ripples of the tooth surface three-dimensional ripple extraction method based on two-dimensional Fourier transform provided by an embodiment of the present invention.

[0111] As Figure 9 shown, it is a functional module diagram of a tooth surface three-dimensional ripple extraction device based on two-dimensional Fourier transform provided by an embodiment of the present invention.

[0112] The tooth surface three-dimensional ripple extraction device 100 based on two-dimensional Fourier transform described in the present invention can be installed in an electronic device. According to the functions to be realized, the tooth surface three-dimensional ripple extraction device 100 based on two-dimensional Fourier transform can include a data acquisition module 101, an amplitude-frequency diagram construction module 102, and a tooth surface three-dimensional ripple generation module 103.

[0113] The module described in the present invention can also be referred to as a unit, which refers to a series of computer program segments that can be executed by the processor of an electronic device and can complete fixed functions, and are stored in the memory of the electronic device.

[0114] In this embodiment, the functions of each module / unit are as follows:

[0115] The data acquisition module 101 is used to obtain the sampling pitch of the tooth surface and collect tooth surface deviation data based on the sampling pitch using the tooth surface topology measurement method.

[0116] In the embodiment of the present invention, the tooth surface topology measurement method refers to a high-precision gear detection technology based on three-dimensional topography analysis, which generates an error topology map through discretized sampling and data processing to reveal the distribution law of tooth surface deviation.

[0117] As an embodiment of the present invention, obtaining the sampling pitch of the tooth surface and collecting tooth surface deviation data based on the sampling pitch using the tooth surface topology measurement method includes:

[0118] Calculating the sampling pitch of the tooth surface using Nyquist sampling;

[0119] Collecting end face normal deviation data according to the sampling pitch along the tooth profile end face angle of the tooth surface;

[0120] Measuring the tooth profile deviation curve at equal distances along the tooth direction of the tooth surface;

[0121] Summarizing the end face normal deviation data and the tooth profile deviation curve to obtain the tooth surface deviation data.

[0122] Exemplarily, to calculate the sampling pitch of the tooth surface using Nyquist sampling, the following implementation steps can be adopted:

[0123] f m = max{f 1 , f 2 , f 3 ,..., f n}

[0124]

[0125] In the formula, f 1 , f 2 , f 3 ,..., f n is the frequency of a single sine wave, Δs is the sampling pitch, r b is the base circle radius, Δθ is the measurement rotation angle. Exemplarily, it can be measured according to a short wavelength of 0.25 mm, then f m = 4, the maximum value of Δs is 0.125 mm, then the maximum measurement interval of the tooth profile deviation line in the tooth width direction is 0.125 mm, and the measurement rotation angle in the tooth profile direction is 0.0706°.

[0126] In the embodiment of the present invention, after removing 10% of the distance at both ends of the tooth profile and tooth direction as the evaluation range, when measuring, first collect the end face normal deviation data at equal angles within the evaluation range along the tooth profile end face, and measure the tooth profile deviation curve at equal distances within the evaluation range along the tooth width direction.

[0127] In the embodiment of the present invention, the tooth profile end face angle of the tooth surface refers to the tooth profile pressure angle of the gear in the end face (the plane perpendicular to the gear axis), and is specifically defined as the acute angle formed by the involute tooth profile and the radial line at the pitch circle.

[0128] In the embodiment of the present invention, the tooth direction of the tooth surface refers to the directional characteristics of the gear teeth in space, mainly describing the relationship between the extension direction of the teeth and the gear axis.

[0129] The amplitude-frequency diagram construction module 102 is used to map the tooth surface deviation data to a two-dimensional plane to obtain a deviation distribution diagram, and perform a two-dimensional Fourier transform after removing the drum component in the deviation distribution diagram to obtain a two-dimensional amplitude-frequency diagram; perform a coordinate origin translation on the two-dimensional amplitude-frequency diagram, and perform an amplitude conversion process on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram to obtain a two-dimensional bright point amplitude-frequency diagram with central symmetry.

[0130] In the embodiment of the present invention, the drum component refers to the protrusion amount of the middle region of the tooth surface or tooth direction relative to the theoretically designed tooth profile, which is manifested as the protrusion of the actual tooth profile / tooth direction curve deviating from the theoretical straight line or standard curve in the tooth width direction.

[0131] As an embodiment of the present invention, removing the drum component in the deviation distribution diagram includes: using a quadratic polynomial formula to fit the drum component of each tooth surface deviation data in the deviation distribution diagram, and subtracting the drum component from each tooth surface deviation data in the deviation distribution diagram to obtain a normal deviation distribution diagram.

[0132] Further, performing a two-dimensional Fourier transform after removing the drum component in the deviation distribution diagram includes:

[0133] The following formula is used for the two-dimensional Fourier transform:

[0134]

[0135] Where m is the number of columns of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, n is the number of rows of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, u and v are the positions of the tooth surface deviation data after the two-dimensional Fourier transform, f(x,y) is the two-dimensional discrete tooth surface deviation data of (m×n) obtained by equally spaced sampling according to the sampling interval, (x,y) in f(x,y) is the region randomly divided in the deviation distribution diagram, x is the abscissa of the region, and y is the ordinate of the region.

[0136] As an embodiment of the present invention, performing coordinate origin translation on a two-dimensional amplitude-frequency diagram includes:

[0137] Dividing the two-dimensional amplitude-frequency diagram into upper and lower halves and swapping the data positions to obtain an upper-lower split two-dimensional amplitude-frequency diagram;

[0138] Dividing the upper-lower split two-dimensional amplitude-frequency diagram into left and right halves and swapping the data positions to obtain a divided two-dimensional amplitude-frequency diagram;

[0139] Determining the coordinate center point based on the divided two-dimensional amplitude-frequency diagram, taking the coordinate center point as the new coordinate origin, and translating the original coordinate origin to the new coordinate origin.

[0140] Further, performing amplitude conversion processing on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram to obtain a centrosymmetric two-dimensional bright point amplitude-frequency diagram, including:

[0141] Performing amplitude conversion processing on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram using the following formula:

[0142]

[0143] where A is the converted ripple amplitude data, m is the number of columns of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, n is the number of rows of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, and |F(u,v)| is the frequency spectrum diagram, where R(u,v) is the real part of the two-dimensional Fourier transform result, I(u,v) is the imaginary part of the two-dimensional Fourier transform result, and u and v are the positions of the tooth surface deviation data after two-dimensional Fourier transform.

[0144] The tooth surface three-dimensional ripple generation module 103 is used to convert the coordinate frequency axis in the two-dimensional bright point amplitude-frequency diagram into gear order information, update the two-dimensional bright point amplitude-frequency diagram according to the gear order information to obtain an updated two-dimensional bright point amplitude-frequency diagram, extract the bright point information in the two-dimensional bright point amplitude-frequency diagram; query the bright point position corresponding to the bright point information, and extract the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright point position; extract the amplitude ripple when the maximum amplitude ripple reaches the preset amplitude height, and obtain the three-dimensional data of the amplitude ripple based on the two-dimensional inverse Fourier transform, and extract the real part in the three-dimensional data to draw the tooth surface three-dimensional ripple.

[0145] In the embodiment of the present invention, the bright point information in the updated two-dimensional bright point amplitude-frequency diagram is identified by a threshold method or a peak detection algorithm, and the bright point position is recorded. The bright point position corresponding to the bright point information is queried among the recorded bright point positions.

[0146] In the embodiment of the present invention, the bright point information refers to the spectrum peak feature.

[0147] In the embodiments of the present invention, to convert the coordinate frequency axis in the two-dimensional bright point amplitude-frequency diagram into gear order information, the following formula can be used:

[0148] O = l × f

[0149] Where O is the gear order, l is the evaluation length of the tooth profile / tooth direction waviness, and f is the tooth profile / tooth direction waviness frequency.

[0150] In the embodiments of the present invention, the abscissa in the updated two-dimensional bright point amplitude-frequency diagram is the tooth profile order, and the ordinate is the tooth direction order.

[0151] In the embodiments of the present invention, the bright point position refers to the amplitude peak region.

[0152] As an embodiment of the present invention, before extracting the maximum amplitude waviness in the two-dimensional amplitude-frequency data according to the bright point position, it further includes filtering the bright point position and the two-dimensional amplitude-frequency data around the bright point position affected by the spectral interference signal.

[0153] The embodiments of the present invention extract the amplitude waviness whose maximum amplitude waviness reaches the preset amplitude height, and based on the inverse two-dimensional Fourier transform, obtain the three-dimensional data of the amplitude waviness, and extract the real part in the three-dimensional data to draw the three-dimensional tooth surface waviness image.

[0154] Refer to Figure 10 As shown, it is a schematic structural diagram of an electronic device for implementing the method for extracting three-dimensional tooth surface waviness based on two-dimensional Fourier transform provided by an embodiment of the present invention.

[0155] The electronic device may include a processor 10, a memory 11, a communication bus 12, and a communication interface 13, and may further include a computer program stored in the memory 11 and executable on the processor 10, such as a program for the method for extracting three-dimensional tooth surface waviness based on two-dimensional Fourier transform.

[0156] Among them, the processor 10 may be composed of integrated circuits in some embodiments. For example, it may be composed of a single packaged integrated circuit, or may be composed of multiple integrated circuits with the same or different functions packaged, including a combination of one or more central processing units (CPUs), microprocessors, digital processing chips, graphics processors, and various control chips. The processor 10 is the control core (Control Unit) of the electronic device, connecting various components of the entire electronic device through various interfaces and lines, and by running or executing the programs or modules stored in the memory 11 (such as executing the program for the method for extracting three-dimensional tooth surface waviness based on two-dimensional Fourier transform, etc.), and calling the data stored in the memory 11, to perform various functions of the electronic device and process data.

[0157] The memory 11 includes at least one type of readable storage medium, which includes flash memory, mobile hard disk, multimedia card, card-type memory (such as SD or DX memory, etc.), magnetic memory, magnetic disk, optical disc, etc. In some embodiments, the memory 11 can be an internal storage unit of the electronic device, such as the mobile hard disk of the electronic device. In some other embodiments, the memory 11 can also be an external storage device of the electronic device, such as a plug-in mobile hard disk, a Smart Media Card (SMC), a Secure Digital (SD) card, a Flash Card, etc. equipped on the electronic device. Further, the memory 11 can also include both an internal storage unit and an external storage device of the electronic device. The memory 11 can be used not only to store application software installed on the electronic device and various types of data, such as the code of a method program for extracting three-dimensional tooth surface ripples based on two-dimensional Fourier transform, etc., but also to temporarily store data that has been output or will be output.

[0158] The communication bus 12 can be a Peripheral Component Interconnect (PCI) bus or an Extended Industry Standard Architecture (EISA) bus, etc. This bus can be divided into an address bus, a data bus, a control bus, etc. The bus is configured to enable connection communication between the memory 11 and at least one processor 10, etc.

[0159] The communication interface 13 is used for communication between the above-mentioned electronic device and other devices, including a network interface and a user interface. Optionally, the network interface can include a wired interface and / or a wireless interface (such as a WI-FI interface, a Bluetooth interface, etc.), and is generally used to establish a communication connection between this electronic device and other electronic devices. The user interface can be a display, an input unit (such as a keyboard), and optionally, the user interface can also be a standard wired interface, a wireless interface. Optionally, in some embodiments, the display can be an LED display, a liquid crystal display, a touch liquid crystal display, and an OLED (Organic Light-Emitting Diode) toucher, etc. Among them, the display can also be appropriately referred to as a display screen or a display unit, and is used to display information processed in the electronic device and to display a visual user interface.

[0160] Figure 10 Only the electronic device with components is shown, and those skilled in the art can understand thatFigure 10 The structures shown do not constitute a limitation on the electronic device, and it may include fewer or more components than those shown, or combine certain components, or have different component arrangements.

[0161] For example, although not shown, the electronic device may further include a power source (such as a battery) for supplying power to each component. Preferably, the power source may be logically connected to the at least one processor 10 through a power management device, so as to implement functions such as charging management, discharging management, and power consumption management through the power management device. The power source may also include any components such as one or more DC or AC power sources, a recharge device, a power failure detection circuit, a power converter or inverter, a power status indicator, etc. The electronic device may also include various sensors, a Bluetooth module, a Wi-Fi module, etc., which will not be elaborated here.

[0162] It should be understood that the embodiments are for illustrative purposes only and are not limited by this structure in the scope of the patent application.

[0163] The program of a tooth surface three-dimensional ripple extraction method based on two-dimensional Fourier transform stored in the memory 11 of the electronic device is a combination of multiple instructions. When running in the processor 10, it can implement:

[0164] Obtain the sampling pitch of the tooth surface, and collect tooth surface deviation data based on the sampling pitch using the tooth surface topology measurement method;

[0165] Map the tooth surface deviation data to a two-dimensional plane to obtain a deviation distribution map, and perform two-dimensional Fourier transform after removing the drum component in the deviation distribution map to obtain a two-dimensional amplitude-frequency map;

[0166] Perform coordinate origin translation on the two-dimensional amplitude-frequency map, and perform amplitude conversion processing on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency map to obtain a two-dimensional bright point amplitude-frequency map with central symmetry;

[0167] Convert the coordinate frequency axis in the two-dimensional bright point amplitude-frequency map into gear order information, and update the two-dimensional bright point amplitude-frequency map according to the gear order information to obtain an updated two-dimensional bright point amplitude-frequency map. Extract the bright point information in the updated two-dimensional bright point amplitude-frequency map;

[0168] Query the bright point position corresponding to the bright point information, and extract the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright point position;

[0169] Extract the amplitude ripple whose maximum amplitude ripple reaches a preset amplitude height, and obtain the three-dimensional data of the amplitude ripple based on the inverse two-dimensional Fourier transform. Extract the real part in the three-dimensional data to draw the tooth surface three-dimensional ripple.

[0170] Specifically, for the specific implementation method of the above instructions by the processor 10, reference may be made to the description of the relevant steps in the corresponding embodiments of the accompanying drawings, which will not be elaborated here.

[0171] Furthermore, if the modules / units integrated in the electronic device 1 are implemented in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. The computer-readable storage medium can be volatile or non-volatile. For example, the computer-readable medium can include: any entity or device capable of carrying the computer program code, recording medium, USB flash drive, mobile hard disk, magnetic disk, optical disc, computer memory, read-only memory (ROM, Read-Only Memory).

[0172] The present invention also provides a computer-readable storage medium. The readable storage medium stores a computer program, and when the computer program is executed by the processor of the electronic device, it can implement:

[0173] Obtain the sampling pitch of the tooth surface, and collect tooth surface deviation data based on the sampling pitch using the tooth surface topology measurement method;

[0174] Map the tooth surface deviation data to a two-dimensional plane to obtain a deviation distribution map, and perform a two-dimensional Fourier transform after removing the drum component in the deviation distribution map to obtain a two-dimensional amplitude-frequency map;

[0175] Perform a translation of the coordinate origin on the two-dimensional amplitude-frequency map, and perform an amplitude conversion process on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency map to obtain a two-dimensional bright point amplitude-frequency map with central symmetry;

[0176] Convert the coordinate frequency axis in the two-dimensional bright point amplitude-frequency map into gear order information, and update the two-dimensional bright point amplitude-frequency map according to the gear order information to obtain an updated two-dimensional bright point amplitude-frequency map, and extract the bright point information in the two-dimensional bright point amplitude-frequency map according to the updated two-dimensional bright point amplitude-frequency map;

[0177] Query the bright point position corresponding to the bright point information, and extract the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright point position;

[0178] Extract the amplitude ripple whose maximum amplitude ripple reaches the preset amplitude height, and obtain the three-dimensional data of the amplitude ripple based on the two-dimensional inverse Fourier transform, and extract the real part in the three-dimensional data to draw the three-dimensional ripple of the tooth surface.

[0179] In several embodiments provided by the present invention, it should be understood that the disclosed devices, apparatuses and methods can be implemented in other ways. For example, the device embodiments described above are only illustrative. For example, the division of the modules is only a logical function division, and there can be other division methods in actual implementation.

[0180] The module described as a separation component may or may not be physically separated. The component shown as a module may or may not be a physical unit, that is, it may be located in one place, or may be distributed to multiple network units. Some or all of the modules can be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0181] In addition, in each embodiment of the present invention, each functional module may be integrated in a processing unit, may also be physically present individually for each unit, or two or more units may be integrated in one unit. The above integrated unit can be implemented in the form of hardware, or in the form of hardware plus software functional modules.

[0182] For those skilled in the art, it is obvious that the present invention is not limited to the details of the above exemplary embodiments, and without departing from the spirit or basic characteristics of the present invention, the present invention can be implemented in other specific forms.

[0183] Therefore, from any point of view, the embodiments should be regarded as exemplary and non-limiting. The scope of the present invention is defined by the appended claims rather than the above description. Therefore, all changes falling within the meaning and scope of the equivalent elements of the claims are intended to be included in the present invention. Any associated drawing marks in the claims should not be regarded as limiting the claimed rights.

[0184] The blockchain referred to in the present invention is a new application mode of computer technologies such as distributed data storage, peer-to-peer transmission, consensus mechanism, and encryption algorithm. Blockchain, essentially a decentralized database, is a string of data blocks generated by using cryptographic methods. Each data block contains information about a batch of network transactions, which is used to verify the validity (anti-counterfeiting) of the information and generate the next block. The blockchain can include a blockchain underlying platform, a platform product service layer, and an application service layer, etc.

[0185] The embodiments of this application can acquire and process relevant data based on artificial intelligence technology. Among them, artificial intelligence (AI) is to use a digital computer or a machine controlled by a digital computer to simulate, extend, and expand human intelligence, perceive the environment, acquire knowledge, and use the knowledge to obtain the best results in theory, methods, technologies, and application systems.

[0186] In addition, obviously, the word "including" does not exclude other units or steps, and the singular does not exclude the plural. The multiple units or devices stated in the system claims can also be implemented by one unit or device through software or hardware. Words such as first and second are used to represent names and do not represent any specific order.

[0187] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to the preferred embodiments, those of ordinary skill in the art should understand that the technical solutions of the present invention can be modified or equivalently replaced without departing from the spirit and scope of the technical solutions of the present invention.

Claims

1. A method for extracting three-dimensional ripples from tooth surface based on two-dimensional Fourier transform, characterized in that: The method comprises: Acquire the sampling interval of the tooth surface, and collect the tooth surface deviation data by using the tooth surface topology measurement method based on the sampling interval; The tooth surface deviation data is mapped to a two-dimensional plane to obtain a deviation distribution diagram, and after removing the drum component in the deviation distribution diagram, a two-dimensional Fourier transform is performed to obtain a two-dimensional amplitude-frequency diagram; The coordinate origin is translated on the two-dimensional amplitude-frequency diagram, and the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram is subjected to amplitude conversion processing to obtain a centrally symmetrical two-dimensional bright spot amplitude-frequency diagram; The coordinate frequency axis in the two-dimensional bright spot amplitude-frequency diagram is converted into gear order information, and the two-dimensional bright spot amplitude-frequency diagram is updated according to the gear order information to obtain an updated two-dimensional bright spot amplitude-frequency diagram, and the bright spot information in the two-dimensional bright spot amplitude-frequency diagram is extracted according to the updated two-dimensional bright spot amplitude-frequency diagram; Query the bright spot position corresponding to the bright spot information, and extract the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright spot position; The amplitude ripples with the maximum amplitude reaching the preset amplitude height are extracted, and the three-dimensional data of the amplitude ripples are obtained based on the two-dimensional Fourier inverse transform, and the real part of the three-dimensional data is extracted to draw the three-dimensional ripples on the tooth surface.

2. The method for extracting three-dimensional ripples from tooth surface based on two-dimensional Fourier transform according to claim 1, characterized in that: The step of obtaining the sampling interval of the tooth surface and collecting the tooth surface deviation data by using the tooth surface topology measurement method based on the sampling interval includes: The sampling spacing of the tooth surface is calculated using Nyquist sampling; Collect end face normal deviation data along the tooth profile end face angle of the tooth surface according to the sampling interval; The tooth profile deviation curve is measured at equal distances along the tooth direction of the tooth surface; The end face normal deviation data and tooth profile deviation curve are summarized to obtain the tooth surface deviation data.

3. The method for extracting three-dimensional ripples from tooth surface based on two-dimensional Fourier transform according to claim 1, characterized in that: The method of removing the drum component in the deviation distribution map includes: fitting the drum component of each tooth surface deviation data in the deviation distribution map using a quadratic polynomial formula, and obtaining a normal deviation distribution map by subtracting the drum component from each tooth surface deviation data in the deviation distribution map.

4. The method for extracting three-dimensional ripples from tooth surface based on two-dimensional Fourier transform according to claim 1, characterized in that: The performing of coordinate origin translation on the two-dimensional amplitude-frequency diagram comprises: The two-dimensional amplitude-frequency graph is divided into upper and lower halves and then the data positions are swapped to obtain an upper and lower cut two-dimensional amplitude-frequency graph; The upper and lower two-dimensional amplitude-frequency diagram is divided into left and right halves and the data positions are swapped to obtain a divided two-dimensional amplitude-frequency diagram; The coordinate center point is determined based on the division of the two-dimensional amplitude-frequency diagram, and the coordinate center point is used as the new coordinate origin, and the original coordinate origin is translated to the new coordinate origin.

5. The method for extracting three-dimensional ripples from tooth surface based on two-dimensional Fourier transform according to claim 1, characterized in that: The two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram is subjected to amplitude conversion processing to obtain a centrally symmetrical two-dimensional bright spot amplitude-frequency diagram, including: The two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram is converted into amplitude using the following formula: Among them, A is the converted ripple amplitude data, m is the number of columns of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, n is the number of rows of the tooth surface deviation data after mapping the tooth surface deviation data to the two-dimensional plane, |F(u,v)| is the frequency spectrum, Among them, R(u,v) is the real part of the two-dimensional Fourier transform result, I(u,v) is the imaginary part of the two-dimensional Fourier transform result, and u and v are the positions of the tooth surface deviation data after the two-dimensional Fourier transform.

6. The method for extracting three-dimensional ripples from tooth surface based on two-dimensional Fourier transform according to claim 1, characterized in that: Before extracting the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright spot position, the method also includes filtering the bright spot position and the two-dimensional amplitude-frequency data affected by the spectrum interference signal around the bright spot position.

7. The method for extracting three-dimensional ripples from tooth surface based on two-dimensional Fourier transform according to claim 1, characterized in that: The two-dimensional Fourier transform is performed after removing the drum-shaped component in the deviation distribution map, including: The following formula is used for two-dimensional Fourier transform: Among them, m is the number of columns of the tooth surface deviation data after mapping the tooth surface deviation data to a two-dimensional plane, n is the number of rows of the tooth surface deviation data after mapping the tooth surface deviation data to a two-dimensional plane, u and v are the positions of the tooth surface deviation data after two-dimensional Fourier transform, f(x, y) is the (m×n) two-dimensional discrete tooth surface deviation data obtained by sampling at equal intervals according to the sampling interval, and in f(x, y), (x, y) is the area randomly divided in the deviation distribution diagram, x is the horizontal coordinate of the area, and y is the vertical coordinate of the area.

8. A tooth surface three-dimensional ripple extraction device based on two-dimensional Fourier transform, characterized in that: The device implements the tooth surface three-dimensional ripple extraction method based on two-dimensional Fourier transform according to any one of claims 1 to 7, and the device comprises: A data acquisition module, used to acquire a sampling interval of a tooth surface, and collect tooth surface deviation data based on the sampling interval by using a tooth surface topology measurement method; The amplitude-frequency diagram construction module is used to map the tooth surface deviation data to a two-dimensional plane to obtain a deviation distribution diagram, and to perform a two-dimensional Fourier transform after removing the drum component in the deviation distribution diagram to obtain a two-dimensional amplitude-frequency diagram; to perform a coordinate origin translation on the two-dimensional amplitude-frequency diagram, and to perform amplitude conversion processing on the two-dimensional amplitude-frequency data in the two-dimensional amplitude-frequency diagram to obtain a center-symmetrical two-dimensional bright spot amplitude-frequency diagram; The tooth surface three-dimensional ripple generation module is used to convert the coordinate frequency axis in the two-dimensional bright spot amplitude-frequency diagram into gear order information, and update the two-dimensional bright spot amplitude-frequency diagram according to the gear order information to obtain the updated two-dimensional bright spot amplitude-frequency diagram, and extract the bright spot information in the two-dimensional bright spot amplitude-frequency diagram according to the updated two-dimensional bright spot amplitude-frequency diagram; query the bright spot position corresponding to the bright spot information, and extract the maximum amplitude ripple in the two-dimensional amplitude-frequency data according to the bright spot position; extract the amplitude ripple whose maximum amplitude ripple reaches a preset amplitude height, and obtain the three-dimensional data of the amplitude ripple based on the two-dimensional Fourier inverse transform, and extract the real part in the three-dimensional data to draw the three-dimensional ripple of the tooth surface.

9. An electronic device, characterized in that: The electronic device comprises: at least one processor; and, a memory communicatively connected to the at least one processor; wherein, The memory stores a computer program executable by the at least one processor, and the computer program is executed by the at least one processor so that the at least one processor can execute the method for extracting three-dimensional ripples from tooth surfaces based on two-dimensional Fourier transform as described in any one of claims 1 to 7.

10. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, the method for extracting three-dimensional ripples from tooth surfaces based on two-dimensional Fourier transform as described in any one of claims 1 to 7 is implemented.

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