Method and device for detecting contour features of short-section curved surface

Abstract

The invention provides a short-section curved surface contour feature detection method and device, and the method comprises the steps: obtaining the actual measurement coordinates (X real, Y real) of a to-be-detected point for a to-be-detected curved surface; selecting four adjacent reference point coordinates (Xua, Yua), (Xub, Yub), (Xda, Yda) and (Xdb, Ydb) from the theoretical coordinate points of the curved surface according to the actual measurement coordinates of the point to be measured, and obtaining the theoretical value (Xt, Yt) of the point to be measured; and according to the actual measurement value Y of the point to be measured and the theoretical value Yt of the point to be measured, whether the short-section curved surface contour feature meets the requirement is detected. On the premise of ensuring correctness, the analysis speed is improved, and the problems that the calculation process is uncontrolled and the analysis conclusion is doubted due to the fact that the method is uncertain are solved.

Description

Technical Field

[0001] This invention relates to the fields of metrology and testing, and in particular to a method and apparatus for detecting the profile features of a short-section curved surface. Background Technology

[0002] There is no standard method for detecting curved surface features, making measurement difficult. The measurement process often relies on a "one-item-one-method" approach, which significantly increases the time required and results in extremely low efficiency.

[0003] Currently, the detection of complex features can be performed by establishing a digital model for comparison. This method has high accuracy, as it involves a direct comparison between the reference and the measured part, introducing minimal error and resulting in highly accurate conclusions. However, this method requires high-precision equipment and a high level of mechanical expertise. The standardization of the digital model must be guaranteed, and it cannot control the uncertainties introduced by manually drawn digital models. For measurement personnel, it is impossible to complete the drawing of the digital model alone; a designated person or assistance is required, which greatly increases the time consumed in the measurement process and seriously affects the measurement progress. Summary of the Invention

[0004] The purpose of this invention is to provide a method and apparatus for detecting the profile features of short-section curved surfaces, ensuring the standardization of measurement, reducing the time spent in the measurement process, ensuring that measurement personnel can directly evaluate the features, reducing personnel costs, greatly reducing wasted time, and eliminating uncertainties caused by personnel in the analysis conclusions, making them more accurate, reliable, and practical.

[0005] The first aspect of this invention provides a method for detecting the contour features of a short-section curved surface, comprising: S1. For the surface to be measured, obtain the actual measured coordinates (X, X) of the points to be measured. 实 Y 实 ); S2. Based on the actual measured coordinates of the point to be measured, select four nearby reference points from the theoretical coordinates of the surface. (Xua,Yua),(Xub,Yub)、(Xda,Yda)、(Xdb,Ydb) The theoretical value of the test point is obtained using the following formula ( Xt, Yt ); ; ; in, (Xua, Yua) and (Xub, Yub) Let be two points on the surface that are located to the right of the point to be measured, in the theoretical coordinate system. (Xda, Yda) and (Xdb,Ydb) These are two points on the surface located to the left of the point to be measured, which are theoretical coordinate points. , , , , ; S3. Based on the actual measured value Y of the point to be measured. 实 Theoretical value of the test point Yt The function is to check whether the profile features of the short cross-section curved surface meet the requirements.

[0006] Optionally, the method further includes: The following formula is used to obtain the distance between the theoretical coordinates and the actual measured coordinates of the point to be measured and the reference line. Based on the distance between the theoretical coordinates and the actual measured coordinates of the point to be measured and the reference line, the short cross-section curved surface profile features are checked to see if they meet the requirements. ; Where c represents the coordinate point (x c y c ) to the reference line distance, , ; Let x be the sum of the x-coordinates of the k measured points on the surface to be measured. Let x be the sum of the x-coordinates of n theoretical points on the surface to be measured. Let be the sum of the ordinates of the k measured points on the surface to be measured. It is the sum of the ordinates of n theoretical points on the surface to be tested.

[0007] Optionally, based on the actual measured value Y of the point to be measured. 实 Theoretical value of the test point Yt The inspection checks whether the profile features of the short cross-section curved surface meet the requirements, including: Obtain the actual measured value Y of the point to be measured 实 Theoretical value of the test point Yt The absolute value of the difference is used to determine whether the absolute value is within the preset tolerance range; If it is present, then the short cross-section curved surface profile characteristics meet the requirements.

[0008] Optional, (Xua, Yua) This refers to the theoretical coordinate point on the surface that is closest to the point to be measured, located to the right of the point to be measured. (Xub, Yub) Let be the theoretical coordinate point on the surface that is the second closest to the point to be measured, located to the right of the point to be measured. (Xda, (Yda) This refers to the theoretical coordinate point on the surface that is closest to the point to be measured, located to the left of the point to be measured. (Xdb,Ydb) It is the point on the surface that is the second closest to the point to be measured among the theoretical coordinate points located to the left of the point to be measured.

[0009] A second aspect of the present invention provides a method for detecting the contour features of a short-section curved surface, comprising: Step 1: For the surface to be measured, obtain the actual measured coordinates (X, Y, X) of the points to be measured. 实 Y 实 ); Step 2: Use the formula Obtain the theoretical ordinate of the point to be measured. Yx ; ( Xd,Yd )and( Xu, Yu Let be two adjacent theoretical coordinate points located on the left and right sides of the point to be measured in the curved surface; Xx Let X be the theoretical x-coordinate of the point to be measured. 实 ; Step 3: Use the formula Get the correction value u ;in, , , , , , (Xua, Yua) and (Xub, Yub) Let be two points on the surface that are located to the right of the point to be measured, in the theoretical coordinate system. (Xda, Yda) and (Xdb, Ydb) These are two points on the surface located to the left of the point to be measured, which are theoretical coordinate points. Step 4: Based on the correction value u Using formula Yx'=Yx+u Obtain the corrected theoretical value of the test point. Yx' ; Step 5: Based on the actual measured value Y of the point to be measured 实 Corrected theoretical values ​​of the test points Yx' The function is to check whether the profile features of the short cross-section curved surface meet the requirements.

[0010] Optionally, prior to step three, the method further includes: Determine the actual measured coordinates Y 实 The value of is in Yu and Yd between.

[0011] Optionally, the method further includes: When the actual measured coordinate Y 实 The value is not Yu and Yd During this period, the method as described in any one of the first aspects shall be performed.

[0012] A third aspect of the present invention provides a detection device for short cross-section curved surface profile features, for performing the method as described in any one of the first aspects.

[0013] A fourth aspect of the present invention provides an apparatus for detecting the profile features of a short cross-section surface, for performing the method as described in any one of the second aspects.

[0014] A fifth aspect of the present invention provides a computer-readable storage medium, comprising: a memory and a processor; The memory is configured to store executable instructions; The processor is configured to implement the method as described in any one of the first or second aspects when executing the executable instructions stored in the memory.

[0015] This invention provides a method and apparatus for detecting the contour features of a short-section curved surface, which has the following advantages: Aspect 1: Addressing the current challenge of evaluating the profile accuracy of small, high-precision curved surfaces, where a specific method is lacking, a set of procedures is designed to analyze the profile accuracy of such surfaces, standardizing and streamlining the analysis process. While ensuring the accuracy of the analysis results, the evaluation difficulty is reduced, allowing all personnel to participate in the evaluation.

[0016] Aspect Two: Addressing the relatively complex problem of solving surface equations and obtaining the coordinates of points on the surface, which is difficult to handle with functional formulas, a set of formulas was designed. This decomposes the surface into a set of points, and the points on the surface are approximated using these formulas. This reduces the difficulty of obtaining curve points, and the calculation process is simpler and easier to understand compared to solving surface equations.

[0017] Thirdly, to address the issue that excessively large changes in the tangent rate of the curve may introduce significant errors or inflection points during calculation, a corresponding correction coefficient has been designed to ensure the accuracy of the calculations, making the values ​​calculated by this method more accurate and reliable.

[0018] Fourthly, addressing the issues of repetitive and repetitive formula calculations, and the numerous functions, complex interfaces, and lack of clear guidance in calculation software, design an interactive interface that is clear, concise, free of unnecessary formulas, convenient, fast, and easy to use. Users simply need to input the relevant data to obtain the numerical value.

[0019] Fifthly, regarding the issue of inconvenient data observation and inconsistent graph plotting during the conclusion process, the baseline axis was redesigned and a simple transformation was performed. The graphs are no longer plotted according to the original XY axes, making them clearer and easier to understand.

[0020] Sixthly, this invention employs a novel calculation method. When using an interactive interface for point sampling and calculation, the process can be completed in just 30 minutes. Without an interactive interface, it takes only 1-2 hours, significantly improving detection efficiency.

[0021] Aspect 7: The method and process adopted in this invention are simple, requiring only one surveyor to complete the process from measurement to calculation to evaluation, which greatly simplifies the process.

[0022] Aspect 8: The results obtained by this invention are basically consistent with the results of the drawn digital model. The deviation is less than or equal to 10% compared with the tolerance value of the measured feature, which meets the requirements for the transfer of measuring instruments, and the results are true and valid.

[0023] Aspect Nine: Using an interactive interface greatly reduces the uncertainty caused by human factors. Errors due to human factors can be reduced to almost zero. Attached Figure Description

[0024] Figure 1 A diagram illustrating the method for calculating the theoretical value of a measurement point; Figure 2 To fit the linear and curve equations for the distance; Figure 3 A diagram illustrating the reasons for the increase in error due to monotonicity changes; Figure 4 This is a method for estimating the maximum and minimum values ​​of monotonic changes; Figure 5 Images representing experimental data results; Figure 6 This is a flowchart illustrating the method for detecting short-section curved surface contour features provided by the present invention. Detailed Implementation

[0025] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0026] The features and illustrative embodiments of various aspects of the present invention will now be described in detail. Numerous specific details are set forth in the following detailed description to provide a thorough understanding of the invention. However, it will be apparent to those skilled in the art that the invention may be practiced without requiring some of these specific details. The following description of embodiments is merely intended to provide a better understanding of the invention by illustrating examples of the invention. The invention is by no means limited to any specific setups and methods set forth below, but covers any improvements, substitutions, and modifications to structures, methods, and devices without departing from the spirit of the invention. Well-known structures and techniques are not shown in the drawings and the following description to avoid unnecessarily obscuring the invention.

[0027] In the description of this invention, it should be noted that the directions or positional relationships indicated by terms such as "center," "upper," "lower," "left," "right," "vertical," "horizontal," "inner," and "outer" are based on the directions or positional relationships shown in the accompanying drawings and are only for the convenience of describing and simplifying the invention, and should not be construed as limiting the invention. Furthermore, the use of ordinal numbers (e.g., "first and second," etc.) is for distinguishing objects and is not limited to this order, and should not be construed as indicating or implying relative importance.

[0028] In the description of this invention, it should be noted that, unless otherwise explicitly specified and limited, the terms "installation," "connection," and "linking" should be interpreted broadly, encompassing both direct connection and indirect connection via an intermediate medium. Those skilled in the art can understand the specific meaning of these terms in this invention based on the specific circumstances.

[0029] It should be noted that, unless otherwise specified, the embodiments of the present invention and the features thereof can be combined with each other, and the various embodiments can be referenced and cited in each other. The present invention will now be described in detail with reference to the accompanying drawings and embodiments.

[0030] The present invention will be further described in detail below with reference to the embodiments and accompanying drawings, but the embodiments of the present invention are not limited thereto.

[0031] like Figure 1-6 As shown, this invention provides a method for detecting the contour features of a short-section curved surface. The technical solution adopted by this invention is as follows: 1. Find the fitted straight line of the tangent line at each point of the curve, as shown below:

[0032]

[0033]

[0034] II. Based on the triangle principle and the principle of curve formation, the coordinates of the measured point are approximately calculated:

[0035] III. Using the formula for the distance from a point to a line, calculate the distances from points on the curve and the measured points to the tangent fitted line (i.e., the reference line):

[0036] IV. For ranges exhibiting monotonic abrupt changes, an approximation method is used to solve for approximate values ​​of the theoretical point coordinates:

[0037]

[0038] V. For approximate values, there is a certain deviation between their numerical values ​​and the actual values, which needs to be compensated or corrected. The correction coefficient and the actual value can be expressed as follows:

[0039] Yx'=Yx+u VI. Based on the relationship between tolerance, tolerance zone, and actual measured value, it is sufficient to determine whether the measured value is within the upper and lower tolerance limits to classify it as qualified. Therefore, the upper and lower tolerance limits can be written as: E 上 =Yx'+e E 下 =Yx'-e For example, in one specific embodiment, the method provided by the present invention includes: First, find the tangent direction at each point on the curve. Here, we use an approximation method to find the fitted straight line for all points. The coordinates of the theoretical points corresponding to the upper and lower limits of the profile can be offset according to the perpendicular direction of this straight line.

[0040]

[0041]

[0042] in: - The sum of the X coordinates (horizontal coordinates) of the measured point; - The sum of the X coordinates of the theoretical points; - The sum of the Y-coordinates (vertical coordinates) of the measured points; - The sum of the theoretical Y coordinates; - Slope of the distance-fitted straight line; - Intercept of the fitted line; Y-distance fits the linear dependent variable; X-distance is the independent variable for fitting a straight line; By fitting the X-axis and Y-axis coordinates of all theoretical points and the actual collected points using the above formula, the calculated fitted line can best accommodate all points where distance needs to be calculated. This line has the highest degree of fit, minimizing the rate of change in the calculated distance. The relationship between this fitted line and the curve equation is as follows: Figure 1 As shown: The distances from the given theoretical points on the drawing to the fitted line were then calculated as follows:

[0043] in: - The distance from the point given in the drawing to the fitted line. - Slope of the distance-fitted straight line -Intercept of the fitted line -The horizontal coordinate of the theoretical point given in the drawing - The vertical coordinate of the theoretical point given in the drawing The above method can be used to find the distance from the theoretical point given in the drawing to the fitted line. In the later stage, the control chart recognition problem caused by the tolerance being much smaller than the workpiece size can also be solved by calculating the distance and generating the control chart.

[0044] according to Figure 2 Based on the established geometric principles and fundamental measurement method requirements, the errors of two measurands can be accumulated onto a single measurand. By measuring the value and comparing it to the theoretical value, the theoretical value corresponding to the actual measurement point can be approximately calculated. Xx,Yx The calculation method is as follows:

[0045] in: Yx - Y-coordinate of the measured point (theoretical value calculated) Xu - The theoretical X-coordinate of the curve equation specified in the drawing (adjacent to the coordinates of the measured point and located in the direction of decreasing X-axis). Xd - The theoretical X-coordinate of the curve equation specified in the drawing (adjacent to the coordinates of the measured point and located in the direction of increasing X-axis). Xx - The X-coordinate of the measured point (measured value, set as the theoretical value of the X-coordinate of the measured point, with all errors accumulated on the Y-coordinate) Yd - The distance from the theoretical point of the curve equation specified in the drawing to the fitted straight line is used as the Y-coordinate (adjacent to the coordinates of the measured point and located in the decreasing direction of the X-axis). Yu - The distance from the theoretical point of the curve equation specified in the drawing to the fitted straight line is used as the Y-coordinate (adjacent to the coordinates of the measured point and located in the direction of increasing X-axis). However, the above method has two problems. (1) When there is a sudden point where the derivative of the distance is 0 (i.e., the monotonicity changes), the straight line cannot approximate the equation of the curve, for the following reasons: Figure 3 : The distance changes between two theoretical values ​​due to monotonicity, causing the maximum or minimum value of this function to appear at some intermediate position. This may lead to two problems: 1. The mathematical model and the approximate value solution model are inconsistent. The approximate value model cannot be used for calculation, and the calculation results will be problematic.

[0046] 2. Since the extreme point is in the middle, the chord height increases, the approximation error increases significantly, the calculation error increases, and the measurement result is affected.

[0047] Therefore, if such a situation is encountered, the maximum and minimum values ​​should be estimated according to the following method, and then the approximate values ​​should be calculated piecewise.

[0048] pass Figure 4 It can be seen that this method uses the straight line formed by two adjacent points close to each other before and after the extreme point for calculation, and then obtains the theoretical value of the point by algebraic sum with the correction coefficient. The calculation method is as follows:

[0049] in: Xt' - The x-coordinate of the intersection point of the two lines Yt' - The ordinate of the intersection point of the two lines Xda - The theoretical X-coordinate of the curve equation specified in the drawing (interval with the coordinates of the extreme point by 1 place, and located in the direction of decreasing X-axis). Yda - The theoretical Y-coordinate of the curve equation specified in the drawing (interval with the coordinates of the extreme point by 1 place, and located in the decreasing direction of the X-axis). Xdb- The theoretical X-coordinate of the curve equation specified in the drawing (adjacent to the coordinates of the extreme point and located in the direction of decreasing X-axis). Ydb - The theoretical Y-coordinate of the curve equation specified in the drawing (adjacent to the coordinates of the extreme point and located in the decreasing direction of the X-axis). Xua - The theoretical X-coordinate of the curve equation specified in the drawing (adjacent to the coordinates of the extreme point and located in the direction of increasing X-axis). Yua - The theoretical Y-coordinate of the curve equation specified in the drawing (adjacent to the coordinates of the extreme point and located in the direction of increasing X-axis). Xub - The theoretical X-coordinates of the curve equation specified in the drawing (interval with the coordinates of the extreme points by 1 place, and located in the direction of increasing X-axis). Yub - The theoretical Y-coordinate of the curve equation specified in the drawing (interval with the coordinates of the extreme point by 1 position, and located in the direction of increasing X-axis). Then calculate the distance from the intersection point to the equation of the straight line of the curve chord:

[0050] in: l - Distance from the intersection point to the equation of the circular arc chord Xt' - The x-coordinate of the intersection point of the two lines Yt' - The ordinate of the intersection point of the two lines The remaining parameters are the same as above.

[0051] Next, the proportion by which the curve divides this distance line needs to be calculated. This value is calculated by the change in the slope of the two straight lines before and after the curve.

[0052] q - The proportional value by which the curve divides this distance line Since this distance line forms a certain angle with the fitted line found by the approximation method for all points, the error introduced by the angle must be eliminated during calculation. Therefore:

[0053] β - The angle between the distance line and the fitted line found by the approximation method for all points. The theoretical value of the measured quantity on the curve can then be calculated as follows:

[0054]

[0055] Yt- The theoretical value of the measured Y-axis on the curve Xt - The theoretical value of the measured X-axis on the curve Yx' (2) The above method approximates the distance between points, which has a deviation. If the curvature of the curve changes significantly, there will be a large deviation. If the allowable error is small, there is a possibility that it will affect the measurement results. Therefore, correction is required. The deviation value is ( (Xx', Yx') and( Xx,Yx The difference between them is as follows: Figure 1 As shown, its calculation method is similar to that of problem (1), both requiring the calculation of Xt'、Yt' , l , q and β The correction factor can be calculated using the following formula:

[0056] in: - Correction factor Xx - The X-coordinate of the measured point (measured value, set as the theoretical value of the X-coordinate of the measured point, with all errors accumulated on the Y-coordinate) Xu - The theoretical X-coordinate of the curve equation specified in the drawing (adjacent to the coordinates of the measured point and located in the direction of decreasing X-axis). Xd - The theoretical X-coordinate of the curve equation specified in the drawing (adjacent to the coordinates of the measured point and located in the direction of increasing X-axis). l - Distance from the intersection point to the equation of the circular arc chord q - The proportional value by which the curve divides this distance line β - The angle between the distance line and the fitted line found by the approximation method for all points. Then, through calculation Yt The coordinates of the actual curve points can be obtained by algebraically summing these correction coefficients, as follows: Y=Yx'+u Yx - Y-coordinate of the measured point (theoretical value calculated) Yx' - Y-coordinate of the measured point (corrected theoretical value) The tolerance zone can be obtained by adding or subtracting the tolerance value above or below this value. E 上 =Yx'+e E下 =Yx'-e Yx' - Y-coordinate of the measured point (corrected theoretical value) E 上 - Deviation in tolerance zone E 下 - Deviation under tolerance zone e - Required tolerance size By generating curve values ​​using the above method, it can be determined whether the curve profile is qualified. The determination criteria are as follows: if the measured value is within the upper and lower limits of the distance, the profile of the surface is considered qualified; if the measured value exceeds the upper and lower limits of the distance, the profile of the surface is considered unqualified, and the value exceeding the limit is the accurate value of the out-of-tolerance.

[0057] To determine the accuracy of this method, data comparison was used. The deviation of the digital model sampling points was compared with the deviation of using this method (calculated according to the above process), and the magnitude of the deviation was determined, as shown in Table 1 below: Table 1 Summary of Deviation Magnitude

[0058] As shown in the table above, the deviation values ​​are generally less than 0.001. Compared to the tolerance of 0.01, they can all be controlled within <10%. Therefore, the method meets the transfer requirements and can be used for calculation.

[0059] The conclusions drawn using the above method can be determined according to... Figure 5 The judgment is made as follows: if all the green lines are within the upper and lower limits, it is considered qualified; otherwise, it is considered unqualified.

[0060] The above description is merely a specific implementation example of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for detecting the contour features of a short-section curved surface, characterized in that, include: S1. For the surface to be measured, obtain the actual measured coordinates (X, X) of the points to be measured. 实 Y 实 ); S2. Based on the actual measured coordinates of the point to be measured, select four nearby reference points from the theoretical coordinates of the surface. (Xua,Yua), (Xub,Yub), (Xda,Yda), (Xdb,Ydb) The theoretical value of the test point is obtained using the following formula ( Xt, Yt ); ； ； in, (Xua,Yua) and (Xub, Yub) Let be two points on the surface that are located to the right of the point to be measured, in the theoretical coordinate system. (Xda, Yda) and (Xdb,Ydb) These are two points on the surface located to the left of the point to be measured, which are theoretical coordinate points. ， ， ， ， ； S3. Based on the actual measured value Y of the point to be measured. 实 Theoretical value of the test point Yt The function is to check whether the profile features of the short cross-section curved surface meet the requirements.

2. The method according to claim 1, characterized in that, The method further includes: The following formula is used to obtain the distance between the theoretical coordinates and the actual measured coordinates of the point to be measured and the reference line. Based on the distance between the theoretical coordinates and the actual measured coordinates of the point to be measured and the reference line, the short cross-section curved surface profile features are checked to see if they meet the requirements. ； Where c represents the coordinate point (x c y c ) to the reference line distance, , ; Let x be the sum of the x-coordinates of the k measured points on the surface to be measured. Let x be the sum of the x-coordinates of n theoretical points on the surface to be measured. Let be the sum of the ordinates of the k measured points on the surface to be measured. It is the sum of the ordinates of n theoretical points on the surface to be tested.

3. The method according to claim 1, characterized in that, Based on the actual measured value Y of the point to be measured 实 Theoretical value of the test point Yt The inspection checks whether the profile features of the short cross-section curved surface meet the requirements, including: Obtain the actual measured value Y of the point to be measured 实 Theoretical value of the test point Yt The absolute value of the difference is used to determine whether the absolute value is within the preset tolerance range; If it is present, then the short cross-section curved surface profile characteristics meet the requirements.

4. The method according to claim 1, characterized in that, (Xua,Yua) This refers to the theoretical coordinate point on the surface that is closest to the point to be measured, located to the right of the point to be measured. (Xub, Yub) Let be the theoretical coordinate point on the surface that is the second closest to the point to be measured, located to the right of the point to be measured. (Xda, Yda) This refers to the theoretical coordinate point on the surface that is closest to the point to be measured, located to the left of the point to be measured. (Xdb,Ydb) It is the point on the surface that is the second closest to the point to be measured among the theoretical coordinate points located to the left of the point to be measured.

5. A method for detecting the contour features of a short-section curved surface, characterized in that, include: Step 1: For the surface to be measured, obtain the actual measured coordinates (X, Y, X) of the points to be measured. 实 Y 实 ); Step 2: Use the formula Obtain the theoretical ordinate Yx of the point to be measured; Xd,Yd )and( Xu,Yu Xx represents two neighboring theoretical coordinate points located to the left and right of the point to be measured on the surface; Xx represents the theoretical abscissa of the point to be measured, with a value of X. 实 ; Step 3: Use the formula Obtain the correction value u; where, ， ， ， ， (X) ua ,Y ua ) and (X ub ,Y ub Let (X) be two theoretical coordinate points on the surface located to the right of the point to be measured. da ,Y da ) and (X db ,Y db Let ) be two points in the theoretical coordinate system located to the left of the point to be measured on the surface; Step 4: Based on the correction value u Using formula Yx'=Yx+u Obtain the corrected theoretical value of the test point. Yx' ; Step 5: Based on the actual measured value Y of the point to be measured 实 Corrected theoretical values ​​of the test points Yx' The function is to check whether the profile features of the short cross-section curved surface meet the requirements.

6. The method according to claim 1, characterized in that, Before step three, the method further includes: Determine the actual measured coordinates Y 实 The value of is in Yu and Yd between.

7. The method according to claim 6, characterized in that, The method further includes: When the actual measured coordinate Y 实 The value is not Yu and Yd During this period, the method as described in any one of claims 1-4 is performed.

8. A device for detecting the profile features of a short-section curved surface, characterized in that, Used to perform the method as described in any one of claims 1-4.

9. A device for detecting the contour features of a short-section curved surface, characterized in that, Used to perform the method as described in any one of claims 5-7.

10. A computer-readable storage medium, characterized in that, include: Memory and processor; The memory is configured to store executable instructions; The processor is configured to implement the method as described in any one of claims 1 to 7 when executing the executable instructions stored in the memory.

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