A method for tilt measurement coordinate correction based on a tilt sensor

Abstract

The application relates to the technical field of tilt measurement coordinate correction, in particular to a tilt measurement coordinate correction method based on a tilt sensor. In the method, a centering rod is erected at a point to be measured, and the arrangement direction of a measuring unit on the centering rod is adjusted to coincide with the observation line direction of a total station; the tilt angles of the centering rod in two vertical planes are measured through the tilt sensor, so that the height error correction correction amount and the coordinate error correction correction amount are obtained, the three-dimensional coordinate data of the measured point to be measured are compensated and corrected, the problem of three-dimensional coordinate distortion caused by prism tilt in actual measurement is solved, and accurate position measurement of the point to be measured is realized. The tilt measurement coordinate correction method is not only simple and convenient to operate, but also applicable to various special working condition positions inconvenient to adjust the horizontal state of the centering rod, so that the method has better convenience and wider adaptability.

Description

Technical Field

[0001] This application relates to the field of tilt measurement coordinate correction technology, and in particular to a method for tilt measurement coordinate correction based on a tilt sensor. Background Technology

[0002] In the field data acquisition process, traditional total station methods using prisms require rigorous leveling of the forward-looking prism to ensure accurate reception of reflected signals and precise angle measurements, thereby correctly obtaining the three-dimensional coordinates of the measured point. The leveling process involves precisely centering the prism's horizontal bubble and ensuring its base is stable, preventing any slight tilt that could cause signal reflection path deviation. Insufficient leveling can lead to reflected waves deviating from the expected path or increased angular deviation, resulting in measurement errors at the millimeter or even centimeter level. In severe cases, this can affect the reliability of coordinate data and the accuracy of subsequent engineering applications, such as causing positional deviations in road construction or building layout.

[0003] In traditional measurement techniques, if the leveling process is not strictly implemented, target eccentricity will occur, leading to reflected wave offset or angular deviation, which in turn causes measurement errors and affects the reliability of coordinate data. In addition, the setup, centering, and leveling of the prism are relatively cumbersome and involve the adjustment of precision instruments. Even if a centering rod is used instead of a tripod, it is still necessary to ensure that the centering rod is in a plumb position to ensure measurement efficiency and data quality. This makes the efficiency of existing coordinate measurement relatively low.

[0004] Therefore, there is a need to provide an improved technical solution that addresses the shortcomings of the existing technology. Summary of the Invention

[0005] The purpose of this application is to provide a method for tilt measurement coordinate correction based on a tilt sensor, so as to solve or alleviate the problems existing in the prior art.

[0006] To achieve the above objectives, this application provides the following technical solution:

[0007] This application provides a method for tilt measurement coordinate correction based on a tilt sensor. A tilt sensor is installed on a centering rod, and the tilt sensor has two measurement units arranged in mutually perpendicular directions.

[0008] The correction method includes the following steps:

[0009] Step 1: Place the bottom end of the centering rod at the point to be measured. Up; and make the arrangement direction of a measurement unit coincide with the observation line direction of the total station;

[0010] Step 2: Establish an auxiliary coordinate system to align the center point of the prism at the top of the centering rod. At the test point The projection point on the horizontal plane is the origin of the coordinate system. ; passing through the origin Furthermore, the three mutually perpendicular axes are the Z-axis, Y-axis, and X-axis;

[0011] Step 3, the tilt sensor measures the centering rod at Y. Z-side and X The tilt angles of the Z-plane projection are respectively and ;

[0012] Step 4, the point to be measured The elevation was corrected.

[0013] Step 5, the point to be measured The coordinates are corrected; the origin of the coordinates. With the point to be measured The connecting line is denoted as the offset vector. Offset vector The length is the horizontal coordinate tilt offset distance ; Determine the offset vector from the Y-axis clockwise angle ;

[0014] Establish total station and measurement points and the origin The location is in the Gaussian plane coordinate system. Mark the true north axis in the Gaussian plane coordinate system and project the Y-axis in the auxiliary coordinate system onto the Gaussian plane coordinate system.

[0015] Given the origin The azimuth relative to the total station is Find the angle between the true north axis and the Y-axis in the Gaussian plane coordinate system, denoted as . Then the offset vector is obtained. azimuth ;

[0016] Given the origin Gaussian coordinates, combined with and The location to be measured is obtained. Gaussian coordinates.

[0017] As described above, in the tilt measurement coordinate correction method based on a tilt sensor, preferably, in step 4, the center point of the prism is known. Given the elevation H, determine the origin of the coordinate system in the auxiliary coordinate system. With the center point of the prism distance , center point of prism Elevation H minus distance That is, the location of the point to be measured is obtained. True elevation ;

[0018] prism center point The elevation H is the actual measured offset elevation of the tilted centering rod. Add centering rod height ;in:

[0019] Actual measured offset point elevation The calculation formula is as follows:

[0020] ;

[0021] In the formula: The actual measured elevation of the offset point;

[0022] The length of the centering rod;

[0023] The total station's own height;

[0024] The elevation of the known point where the total station is located;

[0025] The slope distance from the center point of the prism;

[0026] The vertical angle is the center point of the prism;

[0027] Test point True elevation The calculation formula is as follows:

[0028] .

[0029] The tilt measurement coordinate correction method based on tilt sensors described above preferably uses an auxiliary coordinate system where the position of the point to be measured is... The projection point on the X-axis is B, and the projection point on the Y-axis is A; passing through the center point of the prism. Construct parallel to X The auxiliary plane of Y, point The projection of point A onto the auxiliary plane is C, and the projection of point A onto the auxiliary plane is... The projection of point B onto the auxiliary plane is ; thereby establishing A rectangular parallelepiped structure;

[0030] in for , for ;

[0031] because It is a right triangle, and It is a right angle, and We can obtain: .

[0032] The tilt measurement coordinate correction method based on tilt sensors described above preferably uses an auxiliary coordinate system where the position of the point to be measured is... To the center point of the prism The distance is the length of the centering rod. Origin of coordinates With the center point of the prism distance ;

[0033] and The calculation formula is as follows:

[0034] untie We can obtain:

[0035] ;

[0036] Substitute the points to be measured True elevation From the calculation formula, we can obtain:

[0037] .

[0038] The tilt measurement coordinate correction method based on the tilt sensor described above is preferably implemented in step 5, in the auxiliary coordinate system. In a cuboid structure, the horizontal coordinate tilt offset distance Origin of coordinates To the test point The distance is the offset vector. Length;

[0039] In a right triangle From this, we can obtain:

[0040] ;

[0041] The distance is , The distance is That is, the horizontal coordinate tilt offset distance for:

[0042] .

[0043] In the tilt measurement coordinate correction method based on the tilt sensor described above, preferably, the Y-axis is aligned with the offset vector. The minimum included angle is ;according to and Determine the actual tilt of the offset vector along the Y-axis. clockwise angle .

[0044] The tilt measurement coordinate correction method based on tilt sensors described above is preferably used when... Incline direction is Positive axis direction Incline direction is In the positive direction of the axis, then , ,have to ;

[0045] when Incline direction is Positive axis direction Incline direction is In the negative direction of the axis, then , ,have to ;

[0046] when Incline direction is In the negative direction of the axis, Incline direction is In the negative direction of the axis, then , ,have to ;

[0047] when Incline direction is In the negative direction of the axis, Incline direction is In the positive direction of the axis, then , ,have to .

[0048] The tilt measurement coordinate correction method based on the tilt sensor described above is preferably used when the centering rod is in Inclined on the axis, the direction of the inclination is In the positive direction of the axis, then , ,have to ;

[0049] When the centering rod is Inclined on the axis, the direction of the inclination is In the negative direction of the axis, then , ,have to ;

[0050] When the centering rod is Inclined on the axis, the direction of the inclination is In the positive direction of the axis, then , ,have to ;

[0051] When the centering rod is Inclined on the axis, the direction of the inclination is In the negative direction of the axis, then , ,have to .

[0052] In the tilt measurement coordinate correction method based on the tilt sensor described above, preferably, in step 5, in the auxiliary coordinate system, the coordinates are adjusted to pass through the origin. Furthermore, the horizontal axis perpendicular to the observation line of the total station is the Y-axis; in the Gaussian plane coordinate system, the total station and the coordinate origin are... The line connecting these points represents the line of sight of the total station.

[0053] Since the Y-axis is perpendicular to the line of sight of the total station, the offset angle of the Y-axis relative to the true north axis can be obtained. , ;

[0054] The offset vector can then be obtained. The azimuth is .

[0055] As described above, in the tilt measurement coordinate correction method based on tilt sensors, preferably, the coordinate origin is measured by a total station. The coordinates in the Gaussian coordinate system are: Then the point to be measured The coordinates in the Gaussian coordinate system are: .

[0056] Compared with the closest prior art, the technical solution of this application has the following beneficial effects:

[0057] In this method of tilt measurement coordinate correction, it is only necessary to set up the centering rod at the point to be measured and adjust the arrangement direction of one measuring unit on the centering rod to coincide with the observation line of the total station. The centering rod is kept at any tilt angle, and the tilt angle of the centering rod on two vertical planes is measured by a tilt sensor. This yields the elevation error correction amount and the coordinate error correction amount, which are then used to compensate and correct the three-dimensional coordinate data of the point to be measured. This eliminates the influence of the tilt angle caused by the tilt of the prism at the point to be measured on the accuracy of the three-dimensional coordinates, solving the problem of three-dimensional coordinate distortion caused by prism tilt in actual measurement, and achieving accurate position measurement of the point to be measured. This tilt measurement coordinate correction method is not only simpler and more convenient to operate, but also applicable to various special working conditions where it is inconvenient to adjust the horizontal state of the centering rod, making the method more convenient and adaptable. Attached Figure Description

[0058] The accompanying drawings, which form part of this application, are used to provide a further understanding of this application. The illustrative embodiments and descriptions of this application are used to explain this application and do not constitute an undue limitation of this application. Wherein:

[0059] Figure 1 This is a schematic diagram illustrating the principle of elevation measurement of the point to be measured after the centering rod is tilted, according to some embodiments of this application.

[0060] Figure 2 This is a schematic diagram illustrating the spatial relationship between two tilt angles in an auxiliary coordinate system provided according to some embodiments of this application;

[0061] Figure 3 This is a schematic diagram of the offset vector in the XOY plane when both measurement angles are positive, according to some embodiments of this application;

[0062] Figure 4 This is a schematic diagram of the offset vector of the centering rod under different tilt conditions according to some embodiments of this application in the XOY plane;

[0063] Figure 5 Provided according to some embodiments of this application A schematic diagram showing the relationship between the direction angle and the azimuth angle of the offset vector;

[0064] Figure 6 Azimuth angles provided according to some embodiments of this application A schematic diagram showing the relationship between the direction angle and the azimuth angle of the offset vector;

[0065] Figure 7 Azimuth angles provided according to some embodiments of this application A schematic diagram showing the relationship between the direction angle and the azimuth angle of the offset vector;

[0066] Figure 8 Azimuth angles provided according to some embodiments of this application A schematic diagram showing the relationship between the direction angle and the azimuth angle of the offset vector. Detailed Implementation

[0067] The present application will now be described in detail with reference to the accompanying drawings and embodiments. Various examples are provided by way of interpretation and not by way of limitation. In fact, those skilled in the art will recognize that modifications and variations can be made to the present application without departing from the scope or spirit thereof. For example, a feature represented or described as part of one embodiment may be used in another embodiment to produce yet another embodiment. Therefore, it is desirable that the present application encompass such modifications and variations that fall within the scope of the appended claims and their equivalents.

[0068] In the following description, the terms "first / second / third" are used merely to distinguish similar objects and do not represent a specific order of objects. It is understood that "first / second / third" may be interchanged in a specific order or sequence where permitted, so that the embodiments of this application described herein can be implemented in an order other than that illustrated or described herein.

[0069] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs. The terminology used herein is for the purpose of describing embodiments of this disclosure only and is not intended to limit this disclosure.

[0070] In the description of this application, the terms "longitudinal," "lateral," "upper," "lower," "front," "rear," "left," "right," "vertical," "horizontal," "top," and "bottom," etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are used only for the convenience of describing this application and do not require that this application be constructed and operated in a specific orientation, and therefore should not be construed as limiting this application. The terms "connected," "linked," and "set up" used in this application should be interpreted broadly. For example, they can refer to fixed connections or detachable connections; direct connections or indirect connections through intermediate components; wired connections, radio connections, or wireless communication signal connections. Those skilled in the art can understand the specific meaning of the above terms according to the specific circumstances.

[0071] The present application will now be described in detail with reference to the accompanying drawings and embodiments. It should be noted that, unless otherwise specified, the embodiments and features described in the embodiments of the present application can be combined with each other.

[0072] According to specific embodiments of this application, such as Figures 1-8As shown, this application provides a method for tilt measurement coordinate correction based on a tilt sensor. A tilt sensor is installed on the centering rod. In this embodiment, the tilt sensor can be built into the centering rod, or the tilt sensor can be added to the centering rod as an external component. It is necessary to ensure that the axis of the tilt sensor coincides with the axis of the centering rod, and to ensure that the installation of the tilt sensor does not affect the prism at the top of the centering rod.

[0073] The tilt sensor has two measuring units arranged perpendicularly to each other. These two units measure two tilt angles of the projection of the centering rod onto two mutually perpendicular vertical planes. In this embodiment, a prism is mounted on the top of the centering rod, and the two measuring units of the tilt sensor measure the tilt angles of the projection of the centering rod onto the two mutually perpendicular vertical planes. The tilt sensor can be a dual-axis tilt sensor. In other embodiments, the tilt sensor can also be a conventional sensor, in which case two tilt sensors are set on the centering rod, and the two tilt sensors are arranged perpendicularly to each other; similarly, it can measure the two tilt angles of the projection of the centering rod onto two mutually perpendicular vertical planes.

[0074] The correction method includes the following steps:

[0075] Step 1: Place the bottom end of the centering rod at the point to be measured. Up; adjust the orientation of one of the two measurement units so that the orientation of one measurement unit coincides with the observation line of sight of the total station.

[0076] Step 2: Establish an auxiliary coordinate system to align the center point of the prism at the top of the centering rod. At the test point The projection point on the horizontal plane is the origin of the coordinate system. ; passing through the origin And the vertical axis perpendicular to the horizontal plane is the Z-axis. At this time, since the origin of the coordinate system... It is the center point of the prism The projection, therefore The point must lie on the Z-axis; it must pass through the origin. Furthermore, the horizontal axis perpendicular to the observation line of the total station is the Y-axis, passing through the origin. The horizontal axis perpendicular to the Y-axis is the X-axis.

[0077] In this embodiment, the upward direction of the Z-axis is the positive direction of the Z-axis, and the left-to-right direction of the X-axis is the positive direction of the X-axis; the positive direction of the X-axis is also the direction of the total station's line of sight, and the direction in which the total station looks towards the prism; on the Y-axis, the counterclockwise direction with the total station as the center is the positive direction of the Y-axis.

[0078] Step 3, the tilt sensor measures the centering rod at Y. Z-side and X The tilt angles of the Z-plane projection are respectively and In this embodiment, the angle measured by one measuring unit in the tilt sensor is the angle measured by the tilt sensor to center the rod at X. The angle between the Z-plane projection and the Z-axis, i.e., ∠b; the angle measured by another measuring unit is the angle measured by the tilt sensor on the centering rod in the Y direction. The angle between the Z-plane projection and the Z-axis, i.e. ;when Incline direction is When the axis is in the positive direction ,on the contrary ;when Incline direction When the axis is in the positive direction ,on the contrary .

[0079] Step 4, the point to be measured The elevation is corrected; specifically, the center point of the prism is known. Given the elevation H, determine the origin of the coordinate system in the auxiliary coordinate system. With the center point of the prism distance , center point of prism Elevation H minus distance That is, the location of the point to be measured is obtained. True elevation .

[0080] Step 5, the point to be measured The coordinates are corrected; specifically, the origin of the coordinate system is determined in the auxiliary coordinate system. With the point to be measured The distance is denoted as the horizontal coordinate tilt offset distance. .

[0081] In the XOY plane of the auxiliary coordinate system, the origin is... With the point to be measured The connecting line is denoted as the offset vector. Find the offset vector from the Y-axis. clockwise angle .

[0082] Establish total station and measurement points and the origin The location is in the Gaussian plane coordinate system. Mark the true north axis in the Gaussian plane coordinate system and project the Y-axis in the auxiliary coordinate system onto the Gaussian plane coordinate system.

[0083] Given the origin The azimuth relative to the total station is Find the angle between the true north axis and the Y-axis in the Gaussian plane coordinate system, denoted as . Then the offset vector is obtained. azimuth That is, the distance from the due north axis to the point to be measured. and the origin The clockwise angle of the connecting lines.

[0084] Given the origin of the coordinate system In the Gaussian coordinate system, the horizontal coordinate tilt offset distance is obtained through the above process. With azimuth The location of the point to be measured can be obtained. Coordinates in a Gaussian coordinate system.

[0085] In this correction method, a tilt sensor is installed on the centering rod. The tilt sensor measures two tilt angles of the centering rod projected onto two mutually perpendicular vertical planes. Based on this, the distance between the center point of the tilted prism and the origin of the coordinate system is calculated in an auxiliary coordinate system. Subtract the distance to be solved from the known elevation of the prism center point. The location of the point to be measured can then be obtained. The true elevation.

[0086] Then, based on the two tilt angles measured by the tilt sensor, the Y-axis and offset vector are solved in the auxiliary coordinate system. The included angle and the horizontal coordinate tilt offset distance By combining the total station azimuth angle and the angle between the Y-axis and the true north axis, the true north axis and the offset vector can be obtained. The included angle; combined with the horizontal coordinate tilt offset distance. Thus, the location of the point to be measured is obtained. Coordinates in a Gaussian coordinate system.

[0087] In other words, this method for tilt measurement coordinate correction only requires setting up the centering rod at the point to be measured and adjusting the orientation of one measuring unit on the centering rod to coincide with the observation line of the total station. The centering rod is kept at any tilt angle, and the tilt angle of the centering rod on two vertical planes is measured using a tilt sensor. This yields the elevation error correction and coordinate error correction amounts, which are then used to compensate and correct the three-dimensional coordinate data of the point to be measured. This eliminates the influence of the tilt angle caused by the tilt of the prism at the point of measurement on the accuracy of the three-dimensional coordinates, solving the problem of three-dimensional coordinate distortion caused by prism tilt in actual measurements, and achieving accurate position measurement of the point to be measured. This tilt measurement coordinate correction method is not only simpler and more convenient to operate, but also applicable to various special working conditions where adjusting the horizontal state of the centering rod is inconvenient, making the method more convenient and adaptable.

[0088] In step 4, the center point of the prism The elevation H is the actual measured offset elevation of the tilted centering rod. Add centering rod height ;in:

[0089] Actual measured offset point elevation The calculation formula is as follows:

[0090] ;

[0091] In the formula: The actual measured elevation of the offset point;

[0092] The length of the centering rod;

[0093] The total station's own height;

[0094] The elevation of the known point where the total station is located;

[0095] The slope distance from the center point of the prism;

[0096] The vertical angle is the center point of the prism;

[0097] Test point True elevation The calculation formula is as follows:

[0098] .

[0099] In this embodiment, the measurement results after the center rod is tilted are as follows: Figure 1 As shown, the coordinates of the total station are known. The coordinates of the actual measured offset points corresponding to the centering rod after tilting are obtained by the total station. The azimuth angle of the line connecting the total station and the actual measured offset point (i.e., the actual data acquisition point of the total station, which is corrected to obtain the point to be measured) is: .

[0100] In the appendix Figure 1 , Figure 2 In an ideal state, the centering rod is at position OP as shown in the diagram, where OP is vertical. In the actual state described in this application, the centering rod is... The tilted state. The center point of the prism. The elevation H is the height of the centering rod. Add the actual measured offset elevation The actual measured coordinates of the offset point are: Z in the text is... ; Prism center point The elevation H is also the point to be measured. True elevation Add distance Therefore, it is only necessary to find the origin of the coordinate system. With the center point of the prism distance The location of the point to be measured can then be obtained. True elevation .

[0101] In the auxiliary coordinate system, the point to be measured The projection point on the X-axis is B, and the projection point on the Y-axis is A; passing through the center point of the prism. Construct parallel to X The auxiliary plane of Y, point The projection of point A onto the auxiliary plane is C, and the projection of point A onto the auxiliary plane is... The projection of point B onto the auxiliary plane is ; thereby establishing It has a rectangular parallelepiped structure.

[0102] in for , for ;because It is a right triangle, and It is a right angle, and We can obtain: .

[0103] In this embodiment, vector and For tilting centering rod Projected onto a plane With plane The tilt angles measured by the tilt sensor in the two directions are as follows. and That is, the centering rod at direction and The tilt angles in the direction are respectively and .

[0104] when Incline direction is When the axis is in the positive direction ,on the contrary ;when Incline direction is When the axis is in the positive direction ,on the contrary .

[0105] exist In a cuboid structure, The distance is , Therefore, we can conclude that:

[0106] ;

[0107] ;

[0108] because It is a right triangle, and Since the angle is right, by the Pythagorean theorem, we can obtain:

[0109] .

[0110] because ;so .

[0111] In the auxiliary coordinate system, the point to be measured To the center point of the prism The distance is the length of the centering rod. Origin of coordinates With the center point of the prism distance ;

[0112] and The calculation formula is as follows:

[0113] untie We can obtain:

[0114] ;

[0115] Will Substitute the points to be measured True elevation From the calculation formula, we can obtain:

[0116] .

[0117] In this embodiment, In a cuboid structure, equal ; equal ,in for From this, we can obtain and The calculation relationship is used to correct the position of the point to be measured. True elevation .

[0118] In step 5, in the auxiliary coordinate system In a cuboid structure, the horizontal coordinate tilt offset distance Origin of coordinates To the test point The distance is the offset vector. Length;

[0119] In a right triangle From this, we can obtain:

[0120] ;

[0121] The distance is , The distance is That is, the horizontal coordinate tilt offset distance for:

[0122] .

[0123] Y-axis and offset vector The minimum included angle is ;according to and Determine the actual tilt of the offset vector along the Y-axis. clockwise angle .

[0124] In this embodiment, B = A = ;therefore, .

[0125] when Incline direction is Positive axis direction Incline direction is In the positive direction of the axis, then , ,have to ;like Figure 3 As shown, Incline direction is Positive axis direction Incline direction is A schematic diagram of the positive axis direction; at this time, the point O1 to be measured is in... Figure 4 In the third quadrant.

[0126] when Incline direction is Positive axis direction Incline direction is In the negative direction of the axis, then , ,have to At this time, the measured point O2 is in Figure 4 In the fourth quadrant of the middle quadrant.

[0127] when Incline direction is In the negative direction of the axis, Incline direction is In the negative direction of the axis, then , ,have to At this time, the test point O3 is in Figure 4 In the first quadrant of the middle quadrant. When Incline direction is In the negative direction of the axis, Incline direction is In the positive direction of the axis, then , ,have to At this time, the test point O4 is in Figure 4 In the second quadrant.

[0128] In this embodiment, as Figure 4 As shown, and The actual tilting situation under different values.

[0129] When the centering rod is Inclined on the axis, the direction of the inclination is In the positive direction of the axis, then , ,have to At this time, the test point O5 is in Figure 4 In the negative Y-axis direction. When the centering rod is in Inclined on the axis, the direction of the inclination is In the negative direction of the axis, then , ,have to At this time, the test point O6 is in Figure 4 In the positive Y-axis direction.

[0130] When the centering rod is Inclined on the axis, the direction of the inclination is In the positive direction of the axis, then , ,have to At this time, the test point O7 is in Figure 4 In the negative direction of the X-axis.

[0131] When the centering rod is Inclined on the axis, the direction of the inclination is In the negative direction of the axis, then , ,have to At this time, the test point O8 is in Figure 4 In the positive direction of the X-axis.

[0132] In step 5, in the Gaussian plane coordinate system, the total station and the coordinate origin are... The line connecting these points represents the line of sight of the total station.

[0133] Since the Y-axis is perpendicular to the line of sight of the total station, the offset angle of the Y-axis relative to the true north axis can be obtained. , .

[0134] The offset vector can then be obtained. The azimuth is .

[0135] In this embodiment, azimuth angle When you get , .

[0136] in, Figure 5 Azimuth A schematic diagram showing the relationship between the direction angle and the azimuth angle of the offset vector. Figure 6 Azimuth A schematic diagram showing the relationship between the direction angle and the azimuth angle of the offset vector. Figure 7 Azimuth A schematic diagram showing the relationship between the direction angle and the azimuth angle of the offset vector. Figure 8 Azimuth A schematic diagram showing the relationship between the direction angle and the azimuth angle of the offset vector; in the above four cases, regardless of Size, offset vector The azimuth angles are all That is, the point to be measured The true horizontal coordinates relative to the coordinate origin measured by the total station The horizontal coordinates are all from the north direction. Degree, distance of a length Location.

[0137] The origin of the coordinate system was measured using a total station. The coordinates in the Gaussian coordinate system are: Then the point to be measured The coordinates in the Gaussian coordinate system are: .

[0138] In this embodiment, after obtaining the offset vector Horizontal coordinate tilt offset distance With azimuth In this case, it can be known that the offset vector The northward offset in the Gaussian coordinate system is Offset vector The eastward offset in the Gaussian coordinate system is .

[0139] In summary, the points to be measured are... The correct coordinates after correction are for .

[0140] The above description is merely a preferred embodiment of this application and is not intended to limit this application. Various modifications and variations can be made to this application by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of this application should be included within the protection scope of this application.

Claims

1. A method for tilt measurement coordinate correction based on a tilt sensor, characterized in that, An inclination sensor is installed on the centering rod. The inclination sensor has two measuring units arranged in mutually perpendicular directions. The correction method includes the following steps: Step 1, place the bottom end of the centering rod at the point to be measured and the direction of the arrangement of the measuring unit coincides with the observation line direction of the total station. Step 2: Establish an auxiliary coordinate system to align the center point of the prism at the top of the centering rod. At the test point The projection point on the horizontal plane is the origin of the coordinate system. ; passing through the origin Furthermore, the three mutually perpendicular axes are the Z-axis, Y-axis, and X-axis; Step 3, the tilt sensor measures the centering rod in Y Z plane and X The tilt angle of the Z plane projection, respectively, and ; Step 4, correct the elevation of the point to be measured ; Step 5, the point to be measured The coordinates are corrected; the origin of the coordinates. With the point to be measured The connecting line is denoted as the offset vector. offset vector The length is the horizontal coordinate tilt offset distance ; Determine the offset vector from the Y-axis clockwise angle ; Establish total station and measurement points and the origin The location is in the Gaussian plane coordinate system. Mark the true north axis in the Gaussian plane coordinate system and project the Y-axis in the auxiliary coordinate system onto the Gaussian plane coordinate system. Known coordinate origin The azimuth relative to the total station is , the angle between the north axis and the Y axis in the Gauss plane coordinate system is calculated, denoted as ; and the azimuth of the offset vector is further calculated ; The known coordinate origin Gauss coordinates, in combination With The measured point position Gauss coordinates.

2. The method of tilt measurement coordinate correction based on tilt sensor according to claim 1, characterized in that, In step 4, specifically, the center point of the prism is known. Given the elevation H, determine the origin of the coordinate system in the auxiliary coordinate system. With the center point of the prism distance , center point of prism Elevation H minus distance That is, the location of the point to be measured is obtained. True elevation ; prism center point The elevation H is the actual measured offset elevation of the tilted centering rod. Add centering rod height ;in: The actual measured offset point elevation The formula for calculating the offset point elevation is as follows: ； In the formula: is the actual measured offset point elevation; to center the length of the rod; H is the height of the total station itself; The height of the known point for the total station; is the slant range to the center of the prism; is the vertical angle of the prism center point; Test point True elevation The calculation formula is as follows: 。 3. The method of tilt measurement coordinate correction based on tilt sensor according to claim 2, characterized in that, In the auxiliary coordinate system, the point to be measured The projection point on the X-axis is B, and the projection point on the Y-axis is A; passing through the center point of the prism. Construct parallel to X The auxiliary plane of Y, point The projection of point A onto the auxiliary plane is C, and the projection of point A onto the auxiliary plane is... The projection of point B onto the auxiliary plane is ; thereby establishing A rectangular parallelepiped structure; in for , for ; Since is a right triangle, and is a right angle, and ; it follows that .

4. The method for tilt measurement coordinate correction based on a tilt sensor according to claim 3, characterized in that, In the auxiliary coordinate system, the point to be measured To the center point of the prism The distance is the length of the centering rod. ; Origin of coordinates Distance from the center point of the prism ;​ With The calculation relationship is as follows: Solve Available: ； Substitute the real elevation of the point to be measured into the calculation formula of the real elevation of the point to be measured , and the following can be obtained: , ​ 。 5. The method of tilt measurement coordinate correction based on tilt sensor according to claim 4, characterized in that, In step 5, in the auxiliary coordinate system In a cuboid structure, the horizontal coordinate tilt offset distance Origin of coordinates To the test point The distance is the offset vector. Length; In a right triangle it is possible to obtain: ； the distance of , the distance of i.e. the horizontal coordinate is tilted by the offset distance is: 。 6. The method of tilt measurement coordinate correction based on a tilt sensor according to claim 5, wherein, Y-axis and offset vector The minimum included angle is ;according to and Determine the actual tilt of the offset vector along the Y-axis. clockwise angle .

7. The method of tilt measurement coordinate correction based on a tilt sensor according to claim 6, wherein, when Incline direction is Positive axis direction Incline direction is In the positive direction of the axis, then , ,have to ; when Incline direction is Positive axis direction Incline direction is In the negative direction of the axis, then , ,have to ; when Incline direction is In the negative direction of the axis, Incline direction is In the negative direction of the axis, then , ,have to ; when Incline direction is In the negative direction of the axis, Incline direction is In the positive direction of the axis, then , ,have to .

8. The method for tilt measurement coordinate correction based on a tilt sensor according to claim 6, characterized in that, When the centering rod is The axis is tilted, and the direction of the tilt is... In the positive direction of the axis, then , ,have to ; When the center rod is inclined on the axis, the inclination direction is the negative direction of the axis, then the positive direction of the axis, then , , the following is obtained ; When the center rod is inclined on the axis, the inclination direction is the positive direction of the axis, then , , , get ; When the centering rod is The axis is tilted, and the direction of the tilt is... In the negative direction of the axis, then , ,have to .

9. The method of tilt measurement coordinate correction based on tilt sensor according to claim 6, wherein, In step 5, in the auxiliary coordinate system, the coordinates passing through the origin are... Furthermore, the horizontal axis perpendicular to the observation line of the total station is the Y-axis; in the Gaussian plane coordinate system, the total station and the coordinate origin are... The line connecting these points represents the line of sight of the total station. Since the Y axis is perpendicular to the direction of the total station sight line, the offset angle of the Y axis relative to the true north axis can be obtained , ; Further, the offset vector The azimuth of the offset vector is 10. The method of tilt measurement coordinate correction based on tilt sensor according to claim 9, wherein, The origin of the coordinate system was measured using a total station. The coordinates in the Gaussian coordinate system are: Then the point to be measured The coordinates in the Gaussian coordinate system are: .

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