CN114001650B - Encryption method for conversion parameters of local coordinate system and arbitrary plane coordinate system - Google Patents
Encryption method for conversion parameters of local coordinate system and arbitrary plane coordinate system Download PDFInfo
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- CN114001650B CN114001650B CN202111088642.8A CN202111088642A CN114001650B CN 114001650 B CN114001650 B CN 114001650B CN 202111088642 A CN202111088642 A CN 202111088642A CN 114001650 B CN114001650 B CN 114001650B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/002—Measuring arrangements characterised by the use of optical techniques for measuring two or more coordinates
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/15—Correlation function computation including computation of convolution operations
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F21/00—Security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F21/60—Protecting data
- G06F21/602—Providing cryptographic facilities or services
Abstract
The invention discloses a conversion parameter encryption method for a local coordinate system and an arbitrary plane coordinate system. The method comprises the following steps: determining an intermediate projection coordinate system A1; determining an intermediate projection coordinate system A1 of which the final conversion result meets the conversion precision requirement; step two: converting coordinates to an intermediate projection coordinate system A1 by utilizing four parameters between the local coordinate system A and the intermediate projection coordinate system A1; step three: the coordinates are converted to the target coordinate system B by using a projection relationship or a parameter conversion relationship between the intermediate projection coordinate system A1 and the target coordinate system B. The invention overcomes the defect that the existing conversion methods all need to acquire local coordinate system parameters and are easy to cause parameter leakage; the method has the advantage of realizing confidentiality of local coordinate system parameters in the coordinate conversion process.
Description
Technical Field
The invention relates to a conversion parameter encryption method for a local coordinate system and an arbitrary plane coordinate system. More specifically, it is a method for converting between a local coordinate system and an arbitrary planar coordinate system without using parameters of the local coordinate system.
Background
In order to promote the use of a newly established local coordinate system, it is generally necessary to convert the history data into the new local coordinate system, which requires that the interconversion between the newly established local coordinate system and any planar coordinate system be achieved. For example, the existing publication number is CN106202000a, the patent name is "seven-parameter conversion method between national three-dimensional coordinate system and any local plane coordinate system", which discloses a conversion method between national three-dimensional coordinate system and local plane coordinate system, and the core is to correct plane coordinate by adding constant, and correct elevation value by using three parameters, which is to obtain a conversion seven-parameter with higher precision. The prior publication number is CN107479078B, the patent name is 'method and system for converting geodetic coordinates into independent plane coordinates in railway measurement', which discloses a method for converting geodetic coordinates into independent plane coordinates in railway measurement, wherein the plane coordinates are obtained through the Gaussian projection conversion of an ellipsoid of expansion.
The independent coordinate system parameters of some urban places are secret-related data, and for popularization and use of the independent coordinate system, coordinate point pairs under other coordinates, drawing pieces with various formats and the like have to be converted into the coordinate system, so that the conversion methods existing in the market at present all need to obtain the independent coordinate system parameters, and the parameter leakage is easy to cause. There is no report in the prior art concerning the conversion between a parameter secret local coordinate system and an arbitrary planar coordinate system.
Therefore, it is necessary to develop a coordinate transformation method for parameter confidentiality without using an independent coordinate system parameter.
Disclosure of Invention
The invention aims to provide a method for encrypting conversion parameters of a local coordinate system and an arbitrary plane coordinate system, which realizes coordinate conversion between the local coordinate system and the arbitrary plane coordinate system under the condition that parameters such as central meridian, north direction, east direction offset and the like of the local coordinate system are not used, thereby realizing confidentiality of the parameters of the local coordinate system in the coordinate conversion process.
In order to achieve the above purpose, the technical scheme of the invention is as follows: a local coordinate system and arbitrary plane coordinate system conversion parameter encryption method is characterized in that: comprises the following steps of the method,
step one: determining an intermediate projection coordinate system A1;
determining an intermediate projection coordinate system A1; because the direct use of parameters to convert the coordinates from the local coordinate system A to the target coordinate system B generally exceeds the precision limit difference, the random selection of the intermediate projection coordinate system A1 does not meet the precision requirement, and therefore, the invention determines the intermediate projection coordinate system A1 through the precision index;
step two: converting the coordinates of the local coordinate system A into an intermediate projection coordinate system A1 by utilizing a parameter conversion relation between the local coordinate system A and the intermediate projection coordinate system A1; the intermediate projection coordinate system A1 is used as a transition coordinate system in the conversion process of the invention;
step three: the coordinates are converted to the target coordinate system B using the projection or parameter conversion relationship between the intermediate projection coordinate system A1 and the target coordinate system B. According to the invention, the local coordinate system A is converted into the target coordinate system B through the intermediate projection coordinate system A1, so that confidentiality of local coordinate system parameters in the coordinate conversion process is realized, and the conversion accuracy is ensured to meet the difference limit requirement.
In the above technical solution, in the first step, the method for determining the intermediate projection coordinate system A1 includes the following steps,
step 11: central meridian L of local coordinate system a 0 Adding an offset to obtain a central meridian L of the intermediate projection coordinate system A1 1 ；
Step 12: selecting a reference ellipsoid of the local coordinate system A as a basis, taking a major half axis a of the reference ellipsoid (namely the reference ellipsoid of the local coordinate system A) 0 And a flat rate f 0 Adding a constant to the long half shaft (or the flat rate or the change of the long half shaft) to obtain an ellipsoid of expansion E1, and recording the long half shaft of the ellipsoid of expansion E1 as a 1 A flat rate of f 1 ；
Step 13: taking a set of grid points P covering the region (i.e. the application area of the local coordinate system A) 0 Projection transformation method (central meridian is L) by using real parameters of local coordinate system 1 ) Converting the grid point coordinates into an intermediate projection coordinate system A1, denoted by P 1 The method comprises the steps of carrying out a first treatment on the surface of the At the same time utilize projection relation or parameter conversion relation to make P 0 Conversion to the target coordinate system B, denoted as P B0 ；
Step 14: by P 0 And P 1 Calculating conversion parameters (parameter calculation basis can be three parameters, four parameters, affine transformation and the like) between the local coordinate system and the intermediate projection coordinate system A1; taking four-parameter conversion as an example, a local coordinate system A and an intermediate projection coordinate systemThe conversion parameters between A1 include two offsets (Δx, Δy), a rotation angle (α) and a scale factor (m);
step 15: using the four parameters of the conversion obtained in step 14 to convert P 0 Converting to an intermediate projection coordinate system A1, and then converting the coordinate to a target coordinate system B by utilizing a projection relationship or a parameter conversion relationship between the intermediate projection coordinate system A1 and the target coordinate system B to obtain P B1 ；
Step 16: comparison P B0 And P B1 The error between the two is calculated,
when P B0 And P B1 The maximum error between the x coordinate and the y coordinate (i.e. the difference between the corresponding point pairs of the two sets of coordinates) meets the accuracy requirement (usually less than 1 mm), the reference ellipsoid E1 obtained in the step 12 is the ellipsoid of expansion adopted in the subsequent step, and the intermediate projection coordinate system obtained in the step 13 is the intermediate projection coordinate system A1;
when P B0 And P B1 If the maximum error between the x coordinate and the y coordinate does not meet the accuracy requirement, repeating the steps 12 to 16 until P B0 And P B1 The maximum error between the x-coordinate and the y-coordinate meets the accuracy requirement.
In the above-described technical solution, in step 14, the conversion parameters between the local coordinate system a and the intermediate projection coordinate system A1 include three parameters, four parameters, affine transformation, and the like.
In the above technical solution, in the second step, the coordinates are converted into the intermediate projection coordinate system A1 by using four parameters between the local coordinate system a and the intermediate projection coordinate system A1 obtained in the step 14, and, taking four parameters as an example, the coordinates (x) in the intermediate projection coordinate system can be calculated by the following formula (1) 1 ,y 1 )，
In the above formula (1), x 1 ,y 1 Is the coordinate under the intermediate projection coordinate system A1;
m, alpha, delta x and delta y are converted into four parameters; wherein Δx is the x-axis offset; Δy is the y-axis offset; alpha is the rotation angle; m is a scale factor;
x and y are the coordinates of the local coordinate system A.
In the above technical solution, in the third step, the coordinate is converted to the target coordinate system B by using a projection relationship or a parameter conversion relationship between the intermediate projection coordinate system A1 and the target coordinate system B, and specifically includes the following steps:
step 31: since the expansion ellipsoid E1 is close to the reference ellipsoid of the local coordinate system A, when the target coordinate system B and the local coordinate system A adopt the same ellipsoid, the step 32 is entered; when the target coordinate system B and the local coordinate system A adopt different ellipsoids, the step 33 is entered;
step 32: and performing projection transformation by using the projection parameters of the intermediate projection coordinate system A1 and the projection parameters of the target coordinate system B to obtain the coordinates under the target coordinate system B, so that the whole conversion flow is completed.
Step 33: firstly, confirming the conversion relation between a plane coordinate system established by taking an ellipsoid corresponding to a local coordinate system A and a target coordinate system B as a reference ellipsoid, and recording the plane coordinate system of the local coordinate system A and the reference ellipsoid as A S The plane coordinate system of the reference ellipsoid with the target coordinate system B is B S The method comprises the steps of carrying out a first treatment on the surface of the Converting the coordinates in the intermediate projection coordinate system A1 into A by projection transformation S ；
Step 34: using the conversion relationship mentioned in step 33, A S Coordinate conversion to planar coordinate System B S ；
Step 35: to the plane coordinate system B S The coordinates of (2) are converted into a target coordinate system B by projection transformation;
so far, the whole conversion flow is completed.
In the above technical solution, when the projection parameters of the target coordinate system B are also related to secret, the same processing manner as that of the local coordinate system a may be adopted to establish an intermediate projection coordinate system B1 as the transition coordinate system, so as to implement that the secret related parameters are not related in the conversion process.
According to the invention, the reference ellipsoid of the changed intermediate projection coordinate system is determined, so that an intermediate projection coordinate system A1 which can enable the final conversion result to meet the precision requirement is determined, and the target result can be obtained by the transition coordinate system A1 by utilizing the projection relation or the parameter conversion relation.
The invention has the following advantages:
the invention is applied to the conversion between a local coordinate system with secret projection parameters and any plane coordinate system, and the core of the invention is to determine a transition coordinate system (namely a middle projection coordinate system) by changing a reference ellipsoid, thereby avoiding the use of real projection parameters of the local coordinate system when the local independent coordinate system with secret projection parameters is converted with any plane coordinate system, ensuring that the conversion precision meets the difference limiting requirement, and realizing the secret of the parameters of the local coordinate system in the coordinate conversion process.
Drawings
FIG. 1 is a flow chart of the present invention.
Detailed Description
The following detailed description of the invention is, therefore, not to be taken in a limiting sense, but is made merely by way of example. While making the advantages of the present invention clearer and more readily understood by way of illustration.
In order to popularize the use of a newly established local coordinate system, the data in the existing coordinate system and the newly established coordinate system are required to be converted, but meanwhile, the problem of parameter confidentiality of the local coordinate system is required to be considered, so that the invention establishes an intermediate transition coordinate system by using an ellipsoid of expansion as a transition, and provides a method for encrypting conversion parameters of the local coordinate system and any plane coordinate system.
According to the invention, an ellipsoid of expansion is used as a reference ellipsoid of an intermediate transition coordinate system, an intermediate projection coordinate system A1 of transition with a central meridian passing through offset is established, the coordinates of a local coordinate system are converted into the coordinate system A1 by a parameter method, and then the transition coordinate system A1 is subjected to parameter conversion into a target coordinate system B, so that confidentiality of the parameters of the local coordinate system in the coordinate conversion process is realized, and meanwhile, the conversion precision is ensured to meet the difference limiting requirement.
Examples
The invention will now be described in detail with reference to the embodiment of the invention which is intended for the conversion between an independent coordinate system a and a coordinate system B, and has a guiding effect on the application of the invention to the conversion between an independent coordinate system and any planar coordinate system in other parameter-secured places.
In this embodiment, the CGCS2000 performs conversion (hereinafter, x is the meridian direction) between a coordinate system B (i.e., a target coordinate system) of gaussian-gram projection and a local coordinate system a (the central meridian is 117.55 °, the north offset is 0, and the east offset is 500 km) in the 117 degree band.
As shown in fig. 1, the conversion method of the present embodiment specifically includes the following steps:
step one: firstly, a batch of lattice points containing the whole Beijing city are taken, projected to a local coordinate system A and a coordinate system B respectively, and reserved for precision inspection.
Secondly, determining an intermediate projection coordinate system A1;
the method for determining the intermediate projection coordinate system A1 comprises the following steps:
step 11: central meridian L of local coordinate system a 0 Offset 0.3 "to obtain the central meridian L of the intermediate projection coordinate system A1 1 ；
Step 12: selecting a reference ellipsoid of a local coordinate system A as a basis, and taking a major half axis a of the reference ellipsoid of the local coordinate system A 0 And a flat rate f 0 In this embodiment, a method of adding a constant to the long half shaft is adopted to obtain an ellipsoid of expansion E1, where the long half shaft of the ellipsoid of expansion E1 is a 1 A flat rate of f 1 (ellipsoid parameters are listed in table 1);
step 13: taking a group of grid points P covering the application area of the local coordinate system A 0 Projection transformation method (central meridian is L) by utilizing real parameters of local coordinate system A 1 ) Converting the grid point coordinates into an intermediate projection coordinate system A1, denoted by P 1 The method comprises the steps of carrying out a first treatment on the surface of the At the same time, P is replaced by projection replacing band (the projection replacing band is a specific use mode of projection relation) 0 Conversion to the target coordinate system B, denoted as P B0 ；
Step 14: by P 0 And P 1 Calculating conversion parameters between the local coordinate system A and the intermediate projection coordinate system A1; in this embodiment, four parameters of plane are usedConversion, wherein conversion parameters between the local coordinate system A and the intermediate projection coordinate system A1 comprise two offsets (Deltax, deltay), a rotation angle (alpha) and a scale factor (m);
step 15: using the four parameters of the conversion obtained in step 14 to convert P 0 Converting to an intermediate projection coordinate system A1, and then converting coordinates to a target coordinate system B by utilizing a projection relationship between the intermediate projection coordinate system A1 and the target coordinate system B to obtain P B1 ；
Step 16: comparison P B0 And P B1 The error between the two is calculated,
in the present embodiment, P B0 And P B1 The maximum error between the x coordinate and the y coordinate (the difference between the x coordinate and the y coordinate between the two sets of coordinate corresponding point pairs) meets the accuracy requirement (the error is less than 1 mm), so the reference ellipsoid E1 obtained in the step 12 of the embodiment is the expansion ellipsoid adopted in the subsequent step, and the intermediate projection coordinate system obtained in the step 13 is the intermediate projection coordinate system A1;
the intermediate projection coordinate system A1 determined in the present embodiment is shown in table 1 below:
intermediate projection coordinate system A1 determined in Table 1
Step two: converting coordinates to an intermediate projection coordinate system A1 by utilizing four parameters between the local coordinate system A and the intermediate projection coordinate system A1; the four parameters of the conversion between the local coordinate system and the intermediate projection coordinate system A1 calculated in step 14 of this embodiment are shown in table 2 below:
table 2 conversion of four parameters
The utilization step14, converting coordinates into an intermediate projection coordinate system A1 by four parameters between the acquired local coordinate system A and the intermediate projection coordinate system A1; the coordinates (x) in the intermediate projection coordinate system are calculated by the following formula (1) 1 ,y 1 )，
In the above formula (1), x 1 ,y 1 Is the coordinate under the intermediate projection coordinate system A1;
m, alpha, delta x and delta y are converted into four parameters; wherein Δx is the x-axis offset; Δy is the y-axis offset; alpha is the rotation angle; m is a scale factor;
x and y are the coordinates of the local coordinate system A.
Step three: the coordinate is converted to the target coordinate system B by utilizing the projection relation or the parameter conversion relation between the intermediate projection coordinate system A1 and the target coordinate system B, and the method specifically comprises the following steps of:
step 31: since the local coordinate system a in the present embodiment is consistent with the reference ellipsoid of the target coordinate system B, step 32 is entered;
step 32: the projection parameters of the intermediate projection coordinate system A1 and the conversion parameters of the target coordinate system B are utilized to carry out conversion to obtain the coordinates under the target coordinate system B in the embodiment, so as to finish conversion of the parameters of the coordinate system without the local coordinate system of the independent local coordinate system A and the coordinate system B in the embodiment.
The invention obtains an intermediate transition coordinate system (namely an intermediate projection coordinate system) by Gaussian projection transformation under an ellipsoid of expansion, and aims to enable the conversion result of the intermediate transition coordinate system to meet the precision requirement (shown in figure 1).
Conclusion: the parameters of the local coordinate system are only used when determining the intermediate projection coordinate system A1 serving as the transition coordinate system, and the embodiment does not need to use the real parameters of the local coordinate system in the conversion process, so that the confidentiality of the parameters of the local coordinate system in the coordinate conversion process is realized.
And (3) verification: the conversion method of the present embodiment is now subjected to accuracy verification, and specifically includes the following steps:
and (3) performing the conversion flow and verifying the precision, comparing the coordinate obtained by directly projectively transforming the local coordinate system coordinate by using the real parameters with the coordinate result obtained by the conversion of the flow in the embodiment, and taking the difference value as a precision judgment index, wherein the result is shown in the following table:
TABLE 3 conversion accuracy
Conclusion: as can be seen from the table, the method and the device can ensure the confidentiality of parameters and meet the precision requirement (the precision requirement of coordinate system conversion is determined according to practical application conditions; in the embodiment, the error of the conversion precision requirement of a coordinate system A in a certain independent place and a target coordinate system B in the direction X, Y is smaller than 1 mm).
Other non-illustrated parts are known in the art.
Claims (4)
1. A local coordinate system and arbitrary plane coordinate system conversion parameter encryption method is characterized in that: comprises the following steps of the method,
step one: determining an intermediate projection coordinate system A1;
determining an intermediate projection coordinate system A1;
using the expansion ellipsoid as a reference ellipsoid of the intermediate transition coordinate system, and establishing an intermediate projection coordinate system A1 of transition of which the central meridian is shifted;
step two: converting the coordinates of the local coordinate system into an intermediate projection coordinate system A1 by utilizing conversion parameters between the local coordinate system A and the intermediate projection coordinate system A1;
step three: converting the coordinates to a target coordinate system B by utilizing a projection relation or a parameter conversion relation between the intermediate projection coordinate system A1 and the target coordinate system B;
the method specifically comprises the following steps:
step 31: since the expanded ellipsoid is close to the reference ellipsoid of the local coordinate system a, when the target coordinate system B and the local coordinate system a adopt the same ellipsoid, step 32 is entered; when the target coordinate system B and the local coordinate system A adopt different ellipsoids, the step 33 is entered;
step 32: carrying out projection transformation by utilizing the projection parameters of the intermediate projection coordinate system A1 and the projection parameters of the target coordinate system B to obtain the coordinates under the target coordinate system B, so that the whole conversion flow is completed;
step 33: firstly, confirming the conversion relation between a plane coordinate system established by taking an ellipsoid corresponding to a local coordinate system A and a target coordinate system B as a reference ellipsoid, and recording the plane coordinate system of the local coordinate system A and the reference ellipsoid as A S The plane coordinate system of the reference ellipsoid with the target coordinate system B is B S The method comprises the steps of carrying out a first treatment on the surface of the Converting the coordinates in the intermediate projection coordinate system A1 into A by projection transformation S ；
Step 34: using the conversion relationship mentioned in step 33, A S Coordinate conversion to planar coordinate System B S ；
Step 35: to the plane coordinate system B S The coordinates of (2) are converted into a target coordinate system B by projection transformation;
so far, the whole conversion flow is completed.
2. The encryption method for conversion parameters of a local coordinate system and an arbitrary plane coordinate system according to claim 1, wherein: in the first step, the method for determining the intermediate projection coordinate system A1 includes the following steps:
step 11: central meridian L of local coordinate system a 0 Adding an offset to obtain the central meridian L of the intermediate projection coordinate system A1 1 ；
Step 12: taking a long half shaft a of a reference ellipsoid of a local coordinate system A as a base 0 And a flat rate f 0 Fine tuning the major half axis and/or the fine tuning the flat rate to obtain a reference ellipsoid E1, wherein the major half axis is a 1 A flat rate of f 1 ；
Step 13: taking a group of grid points P covering the application area of the local coordinate system A 0 Converting the set of grid point coordinates into an intermediate projection coordinate system A1 by using the real projection parameters of the local coordinate system A in a projection transformation method, and marking as P 1 The method comprises the steps of carrying out a first treatment on the surface of the At the same time using projection relations or parametersThe conversion relation is P 0 Conversion to the target coordinate system B, denoted as P B0 ；
Step 14: by P 0 And P 1 Calculating conversion parameters between the local coordinate system A and the intermediate projection coordinate system A1;
step 15: using the conversion parameters obtained in step 14, P is calculated 0 Converting to an intermediate projection coordinate system A1, and then converting the coordinate to a target coordinate system B by utilizing a projection relationship or a parameter conversion relationship between the intermediate projection coordinate system A1 and the target coordinate system B to obtain P B1 ；
Step 16: comparison P B0 And P B1 The error between the two is calculated,
when P B0 And P B1 The maximum error between the x coordinate and the y coordinate meets the precision requirement of the related conversion, the reference ellipsoid E1 obtained in the step 12 is the expansion ellipsoid adopted in the subsequent step, and the intermediate projection coordinate system obtained in the step 13 is the intermediate projection coordinate system A1;
when P B0 And P B1 If the maximum error between the x coordinate and the y coordinate does not meet the accuracy requirement, repeating the steps 12 to 16 until P B0 And P B1 The maximum error between the x-coordinate and the y-coordinate meets the accuracy requirement.
3. The encryption method for conversion parameters of a local coordinate system and an arbitrary plane coordinate system according to claim 2, wherein: in the second step, the coordinates are converted into the intermediate projection coordinate system A1 by utilizing the parameter conversion relation between the local coordinate system a and the intermediate projection coordinate system A1 obtained in the step 14;
in step 14, the conversion parameters between the local coordinate system a and the intermediate projection coordinate system A1 include three parameters, four parameters, affine transformation.
4. A method for encrypting conversion parameters of a local coordinate system and an arbitrary plane coordinate system according to claim 3, wherein: when the system establishment parameters of the target coordinate system B are related to secret, the same processing mode as that of the local coordinate system A is adopted to establish an intermediate projection coordinate system B1 as an intermediate transition coordinate system, so that the secret related parameters are not related in the conversion process.
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