[go: up one dir, main page]

CN119936871A - A method and system for solving three-dimensional deformation of ground-based radar - Google Patents

A method and system for solving three-dimensional deformation of ground-based radar Download PDF

Info

Publication number
CN119936871A
CN119936871A CN202510043171.0A CN202510043171A CN119936871A CN 119936871 A CN119936871 A CN 119936871A CN 202510043171 A CN202510043171 A CN 202510043171A CN 119936871 A CN119936871 A CN 119936871A
Authority
CN
China
Prior art keywords
dimensional
deformation
target
deformation data
parameterized
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202510043171.0A
Other languages
Chinese (zh)
Other versions
CN119936871B (en
Inventor
白泽朝
王萱
王彦平
余快
史海涛
林赟
申文杰
李洋
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
North China University of Technology
Original Assignee
North China University of Technology
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by North China University of Technology filed Critical North China University of Technology
Priority to CN202510043171.0A priority Critical patent/CN119936871B/en
Publication of CN119936871A publication Critical patent/CN119936871A/en
Application granted granted Critical
Publication of CN119936871B publication Critical patent/CN119936871B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Landscapes

  • Radar Systems Or Details Thereof (AREA)

Abstract

本公开提供了一种地基雷达三维形变解算方法及系统,属于地基雷达形变测量技术领域,该方法包括:基于多部雷达对同一观测目标的形变信息进行多角度观测,得到同一观测目标的多角度一维视线向形变数据;基于参数化最小二乘法对多角度一维视线向形变数据进行综合解算,得到同一观测目标的目标三维形变数据;其中,参数化最小二乘法的解算权重矩阵由方差分量估计法确定。本公开提供的一种地基雷达三维形变解算方法及系统能够提高三维形变解算精度,从而提高地质灾害、基础设施健康检测的监测精度和预警能力。

The present disclosure provides a method and system for solving three-dimensional deformation of a ground-based radar, which belongs to the field of ground-based radar deformation measurement technology. The method includes: performing multi-angle observation on the deformation information of the same observation target based on multiple radars to obtain multi-angle one-dimensional line-of-sight deformation data of the same observation target; performing comprehensive solution on the multi-angle one-dimensional line-of-sight deformation data based on the parameterized least squares method to obtain the target three-dimensional deformation data of the same observation target; wherein the solution weight matrix of the parameterized least squares method is determined by the variance component estimation method. The method and system for solving three-dimensional deformation of a ground-based radar provided by the present disclosure can improve the accuracy of solving three-dimensional deformation, thereby improving the monitoring accuracy and early warning capability of geological disasters and infrastructure health detection.

Description

Three-dimensional deformation resolving method and system for foundation radar
Technical Field
The disclosure belongs to the technical field of foundation radar deformation measurement, and more particularly relates to a three-dimensional deformation resolving method and system for a foundation radar.
Background
The foundation radar has the advantages of flexible observation angle, non-contact, high measurement precision and the like, is an important technical means for high-precision deformation monitoring, and is widely applied to the fields of strip mine side slopes, landslide, infrastructure health monitoring and the like. However, the method can only acquire one-dimensional deformation in the direction of connecting the radar and the target, and cannot accurately reflect the real three-dimensional deformation information of the target, so that the method is not beneficial to analyzing the real current situation of the target. In addition, the existing three-dimensional deformation resolving method generally adopts equal weight resolving, the influence of errors among different radar data on resolving precision is less considered, and the situation that the weight matrix is unreasonably set exists, so that the resolving precision is low, and the monitoring precision and the disaster early warning capability are affected.
Disclosure of Invention
The invention aims to provide a three-dimensional deformation resolving method and a three-dimensional deformation resolving system for a ground-based radar, so that the three-dimensional deformation resolving precision is improved, and the monitoring precision and the early warning capability of disasters are improved.
In a first aspect of an embodiment of the present disclosure, a method for resolving three-dimensional deformation of a ground-based radar is provided, including:
Performing multi-angle observation on deformation information of the same observation target based on a plurality of radars to obtain multi-angle one-dimensional vision deformation data of the same observation target;
And comprehensively resolving the multi-angle one-dimensional view line deformation data based on a parameterized least square method to obtain target three-dimensional deformation data of the same observation target, wherein a resolving weight matrix of the parameterized least square method is determined by a variance component estimation method.
A second aspect of the embodiments of the present disclosure provides a ground-based radar three-dimensional deformation calculation system, including:
The data acquisition module is used for carrying out multi-angle observation on deformation information of the same observation target based on a plurality of radars to obtain multi-angle one-dimensional vision line deformation data of the same observation target;
And the resolving module is used for comprehensively resolving the multi-angle one-dimensional view line deformation data based on a parameterized least square method to obtain target three-dimensional deformation data of the same observation target, wherein a resolving weight matrix of the parameterized least square method is determined by a variance component estimation method.
In a third aspect of the embodiments of the present disclosure, there is provided an electronic device including a memory, a processor, and a computer program stored in the memory and running on the processor, the processor implementing the steps of the above-described three-dimensional deformation resolving method of a ground-based radar when executing the computer program.
In a fourth aspect of the disclosed embodiments, there is provided a computer-readable storage medium storing a computer program which, when executed by a processor, implements the steps of a three-dimensional deformation resolving method described above.
The three-dimensional deformation resolving method and system provided by the embodiment of the disclosure have the beneficial effects that:
The method adopts the parameterized least square method and determines the resolving weight matrix by means of the variance component estimation method to carry out three-dimensional deformation resolving, can comprehensively consider the influence of various factors on different data, reasonably distributes weights, enables the resolving process to be more accurate, improves the reliability of target three-dimensional deformation data, can be accurately used in the fields of infrastructure health detection monitoring, geological disaster early warning and the like, and provides powerful and accurate data support for related decisions. Therefore, the three-dimensional deformation resolving precision can be improved, and the monitoring precision and the early warning capability of geological disasters are improved.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present disclosure, the drawings that are required for the embodiments or the description of the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present disclosure, and other drawings may be obtained according to these drawings without inventive effort for a person of ordinary skill in the art.
Fig. 1 is a schematic flow chart of a three-dimensional deformation resolving method of a ground-based radar according to an embodiment of the disclosure;
FIG. 2 is a view of a radar calculated according to an embodiment of the disclosure, wherein FIG. 2 (a) is a view of radar 1, FIG. 2 (b) is a view of radar 2, and FIG. 2 (c) is a view of radar 3;
FIG. 3 (a) is a parameterized least squares X-direction solution based on variance component estimation, FIG. 3 (b) is a parameterized least squares Y-direction solution based on variance component estimation, and FIG. 3 (c) is a parameterized least squares Z-direction solution based on variance component estimation;
FIG. 4 shows the actual deformation of the observation target according to an embodiment of the present disclosure, wherein FIG. 4 (a) shows the actual deformation in the X direction, FIG. 4 (b) shows the actual deformation in the Y direction, and FIG. 4 (c) shows the actual deformation in the Z direction;
Fig. 5 is a schematic flowchart of a three-dimensional deformation resolving method of a ground-based radar according to an embodiment of the disclosure;
Fig. 6 is a block diagram of a three-dimensional deformation calculation system of a ground-based radar according to an embodiment of the present disclosure;
Fig. 7 is a schematic block diagram of an electronic device provided in an embodiment of the present disclosure.
Detailed Description
In the following description, for purposes of explanation and not limitation, specific details are set forth, such as particular system configurations, techniques, etc. in order to provide a thorough understanding of the disclosed embodiments. However, it will be apparent to one skilled in the art that the present disclosure may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present disclosure with unnecessary detail.
For the purposes of promoting an understanding of the principles and advantages of the disclosure, reference will now be made to the embodiments illustrated in the drawings.
Referring to fig. 1, fig. 1 is a flow chart of a three-dimensional deformation resolving method of a ground-based radar according to an embodiment of the disclosure, where the method includes:
s101, multi-angle observation is carried out on deformation information of the same observation target based on a plurality of radars, and multi-angle one-dimensional vision line deformation data of the same observation target are obtained.
In this embodiment, deformation information of a certain object is observed, and if the observed object is a landslide, one-dimensional line of sight deformation data of the landslide is calculated.
The deformation information is a description of the relevant conditions of the object (namely, the observation object) which is reflected by the change of the shape, the size and the like of the object under the action of various internal and external forces.
The one-dimensional line-of-sight deformation data is data which only reflects the deformation condition of the target object in a single dimension direction. In practical applications, the line of sight is often used as a single dimension to acquire data, i.e. only the displacement or deformation amount information of the target object in a specific straight line direction is concerned, for example, the straight line direction determined by the radar wave transmitting direction and the receiving reflected wave direction when the radar is observed.
Therefore, the radar acquires the deformation information of the target object in the sight line direction, and one-dimensional sight line deformation data of the target object can be obtained. In addition, the embodiment can acquire multi-angle one-dimensional visual line deformation data from multiple directions by utilizing multiple radars.
S102, resolving the multi-angle one-dimensional visual line deformation data based on a parameterized least square method to obtain target three-dimensional deformation data of the same observation target, wherein a resolving weight matrix of the parameterized least square method is determined by a variance component estimation method.
In the present embodiment, ‌ parameterized least squares is a method ‌ of estimating model parameters by minimizing the sum of squares of residuals between observations and model predictions.
The solution is a process of in turn deriving unknown parameters or physical quantities in the model from known observation data and mathematical models. According to the calculated one-dimensional visual line deformation data, the three-dimensional deformation data of the object to be observed are calculated through a parameterized least square method.
The solution weight matrix is a matrix used for measuring the importance of different observation data or model parameters in the parameterized least square solution process. The larger the weight of each element in the solution weight matrix corresponding to the corresponding observed data or parameter, the greater the influence of the data or parameter in the fitting process is, and the more important the contribution to the final result is. Therefore, the embodiment can make the parameterized least square method pay more attention to certain key data or parameters by reasonably setting the resolving weight matrix, thereby improving the resolving accuracy and reliability.
The variance component estimation method is a statistical method for estimating variance components of different observed data sources or different error sources. Under the condition that multiple kinds of observation data participate, different types of data can have different precision and reliability, and the variance component estimation method can analyze and determine the variance of each group of data according to the actual condition of the observation data, so that weights are reasonably distributed according to the variances, and the overall data processing and analyzing precision is improved.
Specifically, the steps of the present embodiment may be as follows:
firstly, taking the calculated multi-angle one-dimensional line of sight as input to deform data, and adopting a parameterized least square method to calculate;
secondly, calculating initial three-dimensional deformation data;
Then, in the parameterized least square method solution process, one key step is to determine a solution weight matrix;
Finally, the determination of the solution weight matrix can be obtained through a variance component estimation method, and the determination of the solution weight matrix is beneficial to the subsequent obtaining of target three-dimensional deformation data which are more accurate than the initial three-dimensional deformation data.
In this embodiment, a solution weight matrix is determined according to the variance component estimation method, and the parameterized least square method is updated through the solution weight matrix, so that target three-dimensional deformation data of the observation target can be obtained. Therefore, the initial three-dimensional deformation data is also updated. Compared with the initial three-dimensional deformation data, the accuracy and the reliability of the target three-dimensional deformation data and the degree of fit between the target three-dimensional deformation data and the actual observed object three-dimensional deformation data are improved.
From the above, the method and the device adopt the parameterized least square method and determine the resolving weight matrix by means of the variance component estimation method to carry out three-dimensional deformation resolving, can comprehensively consider the influence of various factors on different data, reasonably allocate weights, enable the resolving process to be more accurate, improve the reliability of target three-dimensional deformation data, can be accurately used in the fields of infrastructure health detection monitoring, geological disaster early warning and the like, and provide powerful and accurate data support for related decisions. Therefore, the three-dimensional deformation resolving precision can be improved, and the monitoring precision and the early warning capability of geological disasters are improved.
In one embodiment of the present disclosure, performing multi-angle observation on deformation information of a same observation target based on a plurality of radars, obtaining multi-angle one-dimensional line of sight deformation data of the same observation target, includes:
Measuring the deformation of the real deformation of the observation target point projected to the sight line direction, and obtaining multidirectional sight line deformation data, wherein the multidirectional sight line deformation data are multi-angle one-dimensional sight line deformation data;
wherein, the radar has at least three parts.
In this embodiment, the radar can emit electromagnetic wave signals and receive signals reflected by the target object, so as to monitor deformation of the target object, for example, in a landslide deformation monitoring scene, the radar can be used to observe displacement of a target point on a landslide.
The line of sight deformation data is calculated based on the observation principle of the radar, and the displacement, deformation and other deformation conditions of the target object are generated by the target point in the straight line direction (namely, the sight direction) determined by the radar wave transmitting direction and the receiving reflected wave direction. Meanwhile, the sight line deformation data are also one-dimensional sight line deformation data.
The radar according to this embodiment has three parts, and can obtain deformation data of one-dimensional vision lines in three directions, see fig. 2, where fig. 2 (a) is a radar 1 vision line direction observation result, fig. 2 (b) is a radar 2 vision line direction observation result, and fig. 2 (c) is a radar 3 vision line direction observation result.
According to the method, multiple radars can be accurately monitored from a specific direction, basic data support is provided for subsequent three-dimensional deformation calculation, and rapid development of deformation analysis of an observation target is facilitated.
In one embodiment of the present disclosure, resolving multi-angle one-dimensional gaze direction deformation data based on a parameterized least square method to obtain target three-dimensional deformation data of the same observation target, including:
determining a least square method observation equation;
determining fusion space parameters;
Determining a parameterized least square method observation equation based on the least square method observation equation and the fusion space parameter, wherein the parameterized least square method observation equation is a parameterized least square method;
And inputting the multi-angle one-dimensional view line into the deformation data to determine the target three-dimensional deformation data of the observation target by using a parameterized least square method.
In the present embodiment, the least square observation equation is:
Wherein, Representation radarThe one-dimensional line-of-sight deformation data of the target object observed at each point in time,,The matrix of the unit direction is represented,Representing the three-dimensional deformation data that is sought,The residual is represented by a representation of the residual,Representing the deformation data of the one-dimensional line of sight observed by the radar 1,Representing the deformation data of the one-dimensional line of sight observed by the radar 2,Representing the deformation data of the one-dimensional line of sight observed by the radar 3.
The fusion space parameter is a parameter related to a space characteristic, and the space characteristic relates to different directions (such as east-west, north-south, vertical directions and the like) and relations among different positions and the like under a scene of three-dimensional deformation of a target object.
Specifically, determining fusion space parameters) Comprising:
Defining a row vector As a fused spatial parameterWhere k represents the number of target points, k= {1,2,..,Represents the coordinate value of the target point, G is defined as follows,
Fusion of spatial parametersA design matrix is also provided.
The parameterized least squares observation equation is:
Wherein, Representation radarFor one-dimensional line of sight deformation data of the observation target point,The matrix of coefficients is represented and,Representing the design matrix.
Expressed as basis functionsCan be expressed as a linear superposition of:
Wherein, Representing a three-dimensional deformation vector, i.e. three-dimensional deformation data,The design matrix is represented by a representation of the design matrix,The parameter vector is represented by a vector of parameters,The values of the parameters are represented by the values,Representing the degree of the introduced polynomial,Representation ofIs the first of (2)Column vectors.
Is a block matrix composed ofThe composition of the composite material comprises the components,Representing target scatterers to each radarIs used for the matrix of unit vectors of (a),AndThe following is shown:
The purpose of the parameter least square method is to obtain To the point ofA kind of electronic device:
The multi-angle one-dimensional visual line direction deformation data is used as the input of the parameterized least square method, and the target three-dimensional deformation data can be determined.
The target three-dimensional deformation data is a solution result of the present disclosure, see fig. 3, where fig. 3 (a) is a solution result of a parameterized least square method X direction based on variance component estimation, fig. 3 (b) is a solution result of a parameterized least square method Y direction based on variance component estimation, and fig. 3 (c) is a solution result of a parameterized least square method Z direction based on variance component estimation.
According to the method, the fusion space parameters are tightly combined with the three-dimensional space characteristics, so that the constructed parameterized least square observation equation and the corresponding method can effectively process the calculation from deformation data of a plurality of radar one-dimensional vision lines to three-dimensional deformation data of a target, and reliable initial data support is provided for follow-up accurate analysis of the overall deformation trend of the observed target, evaluation of stability, prediction of geological disaster risk and the like.
In one embodiment of the present disclosure, a method for three-dimensional deformation resolution of a ground-based radar further includes:
Determining an initial variance based on a parameterized least squares method;
an initial weight matrix is determined based on the initial variance.
In this embodiment, a weighting matrix is introduced,Is thatIs used for the matrix of the matrix,Is a diagonal matrix.
According to the known conditions, byCan calculate the parameter vector and then calculateCan calculate three-dimensional deformation result and weighting matrixThe initial weight matrix is represented, and is composed of initial variances.
From the above, the present embodiment determines the initial variance and quantifiable data discrete degree, and knows the fluctuation characteristics of the data. And an initial weight matrix is constructed based on the initial variance, so that different weights can be given according to the stability and reliability differences of the data. Therefore, in the resolving process, more stable and reliable data are strengthened, the influence of unstable data is weakened, and the resolving accuracy and reliability are effectively improved.
In one embodiment of the present disclosure, the solution weight matrix of the parameterized least squares method is determined by a variance component estimation method, comprising:
iterating the initial variance based on the variance component estimation method;
if the iteration is carried out until the difference value between the two adjacent variances is greater than or equal to a first threshold value, continuing the iteration;
if the iteration is carried out until the difference value between the two adjacent variances is smaller than a first threshold value, stopping the iteration;
After iteration is completed, obtaining a target variance;
a solution weight matrix is determined based on the target variance.
In the present embodiment of the present invention, in the present embodiment,Representing a covariance matrix, defined as follows:
Wherein, Representing an initial standard deviation, obtained by a parameterized least squares method,The initial weight matrix representing the radar observation of section b, typically consists of an identity matrix,Representing an identity matrix of size,Indicating the observation time value.
Residual vectorThe calculation of (a) depends on the residual projection matrix,
The residual vector is defined as the sum of the values,
Construction matrixSum vector:
Wherein, each element is defined as follows:
Wherein, The quadratic vector representing the observed value correction is updated for variance by:
Iterating the process until The difference is less than a thresholdThe selection of the threshold value can be determined according to the empirical variance level of various observed values. With the algorithm iterated, the updated variance components are used to recalculate the weight matrix and again to calculate the regression coefficients to ensure that the regression model is gradually optimized. Obtaining a new weight matrix by using the updated variance valueI.e. a solution weight matrix for the subsequent three-dimensional deformation solution.
From the above, the present embodiment updates the weight matrix by the variance component estimation method, so as to solve the problem of unreasonable weight matrix setting. And then, the determined resolving weight matrix can reasonably distribute data weights in the parameterized least square method, so that the accuracy of the subsequent three-dimensional deformation resolving is improved, and the geological research and disaster early warning are facilitated.
In one embodiment of the present disclosure, a method for three-dimensional deformation resolution of a ground-based radar further includes:
Obtaining a target parameter vector based on the solution weight matrix;
and updating the initial three-dimensional deformation data based on the target parameter vector, and determining the target three-dimensional deformation data.
In this embodiment, first, each weight value in the solution weight matrix affects different data elements or parameters to different extents, so as to guide the generation of the target parameter vector.
And then, updating the initial three-dimensional deformation data by using the obtained target parameter vector. And correcting and perfecting deformation values (such as displacement amounts, strain values and the like in different directions) of each dimension in the initial three-dimensional deformation data. Because the target parameter vector is generated by integrating more accurate data weight relation reflected by the target weight matrix, the method can provide more reasonable and more practical basis for updating the initial three-dimensional deformation data.
And finally, determining target three-dimensional deformation data which is more accurate and can more truly reflect the actual three-dimensional deformation condition of the observed target object. The target three-dimensional deformation data can be used for subsequent important application scenes such as infrastructure health detection, geological disaster early warning and the like, and reliable data support is provided for related decisions.
In one embodiment of the present disclosure, a method for three-dimensional deformation resolution of a ground-based radar further includes:
Determining real three-dimensional deformation data of an observation target;
and calculating based on the real three-dimensional deformation data and the target three-dimensional deformation data, and evaluating the accuracy of the calculation result.
In this embodiment, the real three-dimensional deformation data is used as standard or reference three-dimensional deformation data for evaluating the resolution accuracy of the target three-dimensional deformation data.
The real three-dimensional deformation data of the target observation point is shown in fig. 4, wherein fig. 4 (a) is the real deformation in the X direction, fig. 4 (b) is the real deformation in the Y direction, and fig. 4 (c) is the real deformation in the Z direction.
The three-dimensional deformation data of the target can be obtained by resolving in steps S101-S102.
The present embodiment is used to evaluate the accuracy of the solution by calculating the root mean square error (Root Mean Squared Error, RMSE).
Wherein, Representing the actual three-dimensional deformation data,Representing three-dimensional deformation data of the object,Indicating the observation time value.
It can be obtained from the above that, in the embodiment, the real three-dimensional deformation data and the target three-dimensional deformation data obtained by resolving are compared and calculated, so that the resolving precision can be evaluated, the accuracy of the resolving result can be intuitively checked, a reliable basis can be provided for geological disaster early warning, the relevant departments can accurately decide, and the disaster loss is reduced.
Referring to fig. 6, fig. 6 is a schematic diagram of a specific flow of a three-dimensional deformation resolving method of a ground-based radar.
Specifically, the step of parameterizing the least squares method is as follows:
firstly, calculating one-dimensional deformation data of multiple radar vision lines;
Secondly, establishing a least square method model;
Third, spatial parameters are introduced by popularization Sum parameter vector;
Fourth, three-dimensional displacement vectorFrom the following componentsLinear superposition;
fifth, design matrix Defining the number k of observation points and polynomial degree,Is a unit vector matrix;
sixth, calculate the initial variance and initial weight matrix
Seventh, calculate the parameter vector;
Eighth, solve to obtain three-dimensional displacement vector
Specifically, the variance component estimation method includes the steps of:
First, constructing a covariance matrix: ;
Second, calculate the residual vector MatrixVector quantity;
Third, update variance component
Fourth, if it does not meetContinuing to execute the third step;
Fifth, if it meets The variance and weight matrix are updated.
In this embodiment, the initial variance and the initial weight matrix are updated, that is, the updated variance (target variance) and the weight matrix (solution weight matrix) may be obtained, and a new parameter vector may be obtained, so as to finally obtain the target three-dimensional deformation data.
According to the method, the target parameter vector is obtained based on the resolving weight matrix, the weight can be reasonably set, the target parameter vector can be more accurate, the final three-dimensional deformation resolving precision can be improved, and the method is beneficial to geological disaster prediction and prevention.
Fig. 6 is a block diagram of a three-dimensional deformation resolving system of a ground-based radar according to an embodiment of the present disclosure. For ease of illustration, only portions relevant to embodiments of the present disclosure are shown. Referring to fig. 6, the three-dimensional deformation resolving system 20 of the ground-based radar includes a data acquisition module 21 and a resolving module 22.
The data acquisition module 21 performs multi-angle observation on deformation information of the same observation target based on multiple radars to obtain multi-angle one-dimensional vision line deformation data of the same observation target;
The resolving module 22 performs comprehensive resolving on the multi-angle one-dimensional visual line deformation data based on a parameterized least square method to obtain target three-dimensional deformation data of the same observation target, wherein a resolving weight matrix of the parameterized least square method is determined by a variance component estimation method.
In one embodiment of the present disclosure, the data acquisition module 21 is specifically further configured to:
Measuring the deformation of the real deformation of the observation target point projected to the sight line direction, and obtaining multidirectional sight line deformation data, wherein the multidirectional sight line deformation data are multi-angle one-dimensional sight line deformation data;
wherein, the radar has at least three parts.
In one embodiment of the present disclosure, the resolving module 22 is specifically further configured to:
determining a least square method observation equation;
determining fusion space parameters;
Determining a parameterized least square method observation equation based on the least square method observation equation and the fusion space parameter, wherein the parameterized least square method observation equation is a parameterized least square method;
And inputting the multi-angle one-dimensional view line into the deformation data to determine target three-dimensional deformation data of the same observation target by using a parameterized least square method.
In one embodiment of the present disclosure, a ground-based radar three-dimensional deformation solution system 20 further comprises an initial weight determination module;
An initial weight determination module for determining an initial variance based on a parameterized least squares method;
an initial weight matrix is determined based on the initial variance.
In one embodiment of the present disclosure, the resolving module 22 is specifically further configured to:
iterating the initial variance based on the variance component estimation method;
if the iteration is carried out until the difference value between the two adjacent variances is greater than or equal to a first threshold value, continuing the iteration;
if the iteration is carried out until the difference value between the two adjacent variances is smaller than a first threshold value, stopping the iteration;
After iteration is completed, obtaining a target variance;
a solution weight matrix is determined based on the target variance.
In one embodiment of the present disclosure, the resolving module 23 is specifically further configured to:
Obtaining a target parameter vector based on the solution weight matrix;
and updating the initial three-dimensional deformation data based on the target parameter vector, and determining the target three-dimensional deformation data.
In one embodiment of the present disclosure, a ground-based radar three-dimensional deformation solution system 20 further comprises a solution result evaluation module;
the resolving result evaluation module is used for determining the real three-dimensional deformation data of the observation target;
and calculating based on the real three-dimensional deformation data and the target three-dimensional deformation data, and evaluating the accuracy of the calculation result.
Referring to fig. 7, fig. 7 is a schematic block diagram of an electronic device according to an embodiment of the disclosure. The electronic device 300 in this embodiment as shown in fig. 7 may include one or more processors 301, one or more input devices 302, one or more output devices 303, and one or more memories 304. The processor 301, the input device 302, the output device 303, and the memory 304 communicate with each other via a communication bus 305. The memory 304 is used to store a computer program comprising program instructions. The processor 301 is configured to execute program instructions stored in the memory 304. Wherein the processor 301 is configured to invoke program instructions to perform the functions of the modules/units of the system embodiments described above, such as the functions of the modules 21 to 22 shown in fig. 6.
It should be appreciated that in the disclosed embodiments, the Processor 301 may be a central processing unit (Central Processing Unit, CPU), which may also be other general purpose processors, digital signal processors (DIGITAL SIGNAL processors, DSPs), application SPECIFIC INTEGRATED Circuits (ASICs), field-Programmable gate arrays (Field-Programmable GATE ARRAY, FPGA) or other Programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
The input device 302 may include a touch pad, a fingerprint collection sensor (for collecting fingerprint information of a user and direction information of a fingerprint), a microphone, etc., and the output device 303 may include a display (LCD, etc.), a speaker, etc.
The memory 304 may include read only memory and random access memory and provides instructions and data to the processor 301. A portion of memory 304 may also include non-volatile random access memory. For example, the memory 304 may also store information of device type.
In a specific implementation, the processor 301, the input device 302, and the output device 303 described in the embodiments of the present disclosure may perform the implementation manners described in the first embodiment and the second embodiment of the three-dimensional deformation resolving method for a ground-based radar provided in the embodiments of the present disclosure, and may also perform the implementation manners of the electronic device described in the embodiments of the present disclosure, which are not described herein again.
In another embodiment of the disclosure, a computer readable storage medium is provided, where the computer readable storage medium stores a computer program, where the computer program includes program instructions, where the program instructions, when executed by a processor, implement all or part of the procedures in the method embodiments described above, or may be implemented by instructing related hardware by the computer program, where the computer program may be stored in a computer readable storage medium, where the computer program, when executed by the processor, implements the steps of each of the method embodiments described above. Wherein the computer program comprises computer program code, which may be in the form of source code, object code, executable files or in some intermediate form, etc. The computer readable medium may include any entity or device capable of carrying computer program code, recording medium, USB flash disk, removable hard disk, magnetic disk, optical disk, computer Memory, read-Only Memory (ROM), random access Memory (RAM, random Access Memory), electrical carrier signals, telecommunications signals, and software distribution media, among others.
The computer readable storage medium may be an internal storage unit of the electronic device of any of the foregoing embodiments, such as a hard disk or a memory of the electronic device. The computer readable storage medium may also be an external storage device of the electronic device, such as a plug-in hard disk provided on the electronic device, a smart memory card (SMART MEDIA CARD, SMC), a Secure Digital (SD) card, a flash memory card (FLASH CARD), or the like. Further, the computer-readable storage medium may also include both internal storage units and external storage devices of the electronic device. The computer-readable storage medium is used to store a computer program and other programs and data required for the electronic device. The computer-readable storage medium may also be used to temporarily store data that has been output or is to be output.
Those of ordinary skill in the art will appreciate that the elements and algorithm steps described in connection with the embodiments disclosed herein may be embodied in electronic hardware, in computer software, or in a combination of the two, and that the elements and steps of the examples have been generally described in terms of function in the foregoing description to clearly illustrate the interchangeability of hardware and software. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the solution. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present disclosure.
It will be clearly understood by those skilled in the art that, for convenience and brevity of description, the specific working process of the electronic device and unit described above may refer to the corresponding process in the foregoing method embodiment, which is not repeated herein.
In the several embodiments provided in the present application, it should be understood that the disclosed electronic device and method may be implemented in other manners. For example, the apparatus embodiments described above are merely illustrative, e.g., the division of elements is merely a logical functional division, and there may be additional divisions of actual implementation, e.g., multiple elements or components may be combined or integrated into another system, or some features may be omitted, or not performed. In addition, the coupling or direct coupling or communication connection shown or discussed may be an indirect coupling or communication connection via some interfaces or units, or may be an electrical, mechanical, or other form of connection.
The units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed over a plurality of network units. Some or all of the units may be selected according to actual needs to achieve the purposes of the embodiments of the present disclosure.
In addition, each functional unit in each embodiment of the present disclosure may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit. The integrated units may be implemented in hardware or in software functional units.
The foregoing is merely a specific embodiment of the present disclosure, but the protection scope of the present disclosure is not limited thereto, and any equivalent modifications or substitutions will be apparent to those skilled in the art within the scope of the present disclosure, and these modifications or substitutions should be covered in the scope of the present disclosure. Therefore, the protection scope of the present disclosure shall be subject to the protection scope of the claims.

Claims (10)

1.一种地基雷达三维形变解算方法,其特征在于,包括:1. A method for solving three-dimensional deformation of ground-based radar, characterized by comprising: 基于多部雷达对同一观测目标的形变信息进行多角度观测,得到所述同一观测目标的多角度一维视线向形变数据;Based on multiple radars, deformation information of the same observation target is observed from multiple angles to obtain multi-angle one-dimensional line-of-sight deformation data of the same observation target; 基于参数化最小二乘法对所述多角度一维视线向形变数据进行综合解算,得到所述同一观测目标的目标三维形变数据;其中,所述参数化最小二乘法的解算权重矩阵由方差分量估计法确定。The multi-angle one-dimensional line-of-sight deformation data are comprehensively solved based on the parameterized least squares method to obtain the target three-dimensional deformation data of the same observation target; wherein the solution weight matrix of the parameterized least squares method is determined by the variance component estimation method. 2.如权利要求1所述的一种地基雷达三维形变解算方法,其特征在于,所述基于多部雷达对同一观测目标的形变信息进行多角度观测,得到所述同一观测目标的多角度一维视线向形变数据,包括:2. A ground-based radar three-dimensional deformation solution method according to claim 1, characterized in that the deformation information of the same observation target is observed from multiple angles by multiple radars to obtain multi-angle one-dimensional line-of-sight deformation data of the same observation target, including: 测量观测目标点发生的真实形变投影到视线向的形变,得到多方向的视线向形变数据,所述多方向的视线向形变数据为所述多角度一维视线向形变数据;The real deformation of the observation target point is measured and projected into the deformation in the sight direction to obtain multi-directional sight direction deformation data, wherein the multi-directional sight direction deformation data is the multi-angle one-dimensional sight direction deformation data; 其中,所述雷达至少有三部。Among them, there are at least three radars. 3.如权利要求1所述的一种地基雷达三维形变解算方法,其特征在于,所述基于参数化最小二乘法对所述多角度一维视线向形变数据进行解算,得到所述同一观测目标的目标三维形变数据,包括:3. A ground-based radar three-dimensional deformation solution method according to claim 1, characterized in that the multi-angle one-dimensional line-of-sight deformation data is solved based on the parameterized least squares method to obtain the target three-dimensional deformation data of the same observation target, including: 确定最小二乘法观测方程;Determine the least squares observation equation; 确定融合空间参数;Determine fusion space parameters; 基于所述最小二乘法观测方程和所述融合空间参数确定参数化最小二乘法观测方程;所述参数化最小二乘法观测方程为所述参数化最小二乘法;Determine a parameterized least squares observation equation based on the least squares observation equation and the fusion space parameter; the parameterized least squares observation equation is the parameterized least squares method; 将所述多角度一维视线向形变数据输入所述参数化最小二乘法确定所述同一观测目标的目标三维形变数据。The multi-angle one-dimensional sight-line deformation data is input into the parameterized least squares method to determine the target three-dimensional deformation data of the same observation target. 4.如权利要求3所述的一种地基雷达三维形变解算方法,其特征在于,还包括:4. The method for solving three-dimensional deformation of ground-based radar according to claim 3, further comprising: 基于所述参数化最小二乘法确定初始方差;determining an initial variance based on the parameterized least squares method; 基于所述初始方差确定初始权重矩阵。An initial weight matrix is determined based on the initial variance. 5.如权利要求4所述的一种地基雷达三维形变解算方法,其特征在于,所述参数化最小二乘法的解算权重矩阵由方差分量估计法确定,包括:5. A method for solving three-dimensional deformation of ground-based radar according to claim 4, characterized in that the solving weight matrix of the parameterized least square method is determined by a variance component estimation method, comprising: 基于所述方差分量估计法对所述初始方差进行迭代;Iterating the initial variance based on the variance component estimation method; 若迭代到相邻两个方差间的差值大于或者等于第一阈值,则继续迭代;If the difference between two adjacent variances during iteration is greater than or equal to the first threshold, continue iterating; 若迭代到相邻两个方差间的差值小于第一阈值,则停止迭代;If the difference between two adjacent variances during iteration is less than the first threshold, the iteration is stopped; 迭代完成之后,得到目标方差;After the iteration is completed, the target variance is obtained; 基于所述目标方差确定解算权重矩阵。A solution weight matrix is determined based on the target variance. 6.如权利要求5所述的一种地基雷达三维形变解算方法,其特征在于,还包括:6. The method for solving three-dimensional deformation of ground-based radar according to claim 5, further comprising: 基于所述解算权重矩阵得到目标参数向量;Obtaining a target parameter vector based on the solution weight matrix; 基于所述目标参数向量对初始三维形变数据进行更新,确定所述目标三维形变数据。The initial three-dimensional deformation data is updated based on the target parameter vector to determine the target three-dimensional deformation data. 7.如权利要求2所述的一种地基雷达三维形变解算方法,其特征在于,还包括:7. The method for solving three-dimensional deformation of ground-based radar according to claim 2, further comprising: 确定所述观测目标的真实三维形变数据;Determining true three-dimensional deformation data of the observed target; 基于所述真实三维形变数据和所述目标三维形变数据进行计算,评估解算结果的精度。Calculation is performed based on the real three-dimensional deformation data and the target three-dimensional deformation data, and the accuracy of the solution result is evaluated. 8.一种地基雷达三维形变解算系统,其特征在于,包括:8. A ground-based radar three-dimensional deformation solution system, characterized by comprising: 数据采集模块,基于多部雷达对同一观测目标的形变信息进行多角度观测,得到所述同一观测目标的多角度一维视线向形变数据;A data acquisition module, based on multiple radars, performs multi-angle observation on the deformation information of the same observation target to obtain multi-angle one-dimensional line-of-sight deformation data of the same observation target; 解算模块,基于参数化最小二乘法对所述多角度一维视线向形变数据进行综合解算,得到所述同一观测目标的目标三维形变数据;其中,所述参数化最小二乘法的解算权重矩阵由方差分量估计法确定。A solution module performs a comprehensive solution on the multi-angle one-dimensional line-of-sight deformation data based on a parameterized least squares method to obtain the target three-dimensional deformation data of the same observed target; wherein the solution weight matrix of the parameterized least squares method is determined by a variance component estimation method. 9.一种电子设备,包括存储器、处理器以及存储在所述存储器中并在所述处理器上运行的计算机程序,其特征在于,所述处理器执行所述计算机程序时实现如权利要求1至7任一项所述方法的步骤。9. An electronic device, comprising a memory, a processor, and a computer program stored in the memory and running on the processor, wherein the processor implements the steps of the method according to any one of claims 1 to 7 when executing the computer program. 10.一种计算机可读存储介质,所述计算机可读存储介质存储有计算机程序,其特征在于,所述计算机程序被处理器执行时实现如权利要求1至7任一项所述方法的步骤。10. A computer-readable storage medium storing a computer program, wherein the computer program implements the steps of the method according to any one of claims 1 to 7 when executed by a processor.
CN202510043171.0A 2025-01-10 2025-01-10 A method and system for calculating three-dimensional deformation of ground-based radar Active CN119936871B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202510043171.0A CN119936871B (en) 2025-01-10 2025-01-10 A method and system for calculating three-dimensional deformation of ground-based radar

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202510043171.0A CN119936871B (en) 2025-01-10 2025-01-10 A method and system for calculating three-dimensional deformation of ground-based radar

Publications (2)

Publication Number Publication Date
CN119936871A true CN119936871A (en) 2025-05-06
CN119936871B CN119936871B (en) 2025-11-21

Family

ID=95549746

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202510043171.0A Active CN119936871B (en) 2025-01-10 2025-01-10 A method and system for calculating three-dimensional deformation of ground-based radar

Country Status (1)

Country Link
CN (1) CN119936871B (en)

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106526590A (en) * 2016-11-04 2017-03-22 山东科技大学 Method for monitoring and resolving three-dimensional ground surface deformation of industrial and mining area by means of multi-source SAR image
US20210095959A1 (en) * 2019-01-24 2021-04-01 Dalian University Of Technology 3D measurement model and spatial calibration method based on 1D displacement sensor
CN116052009A (en) * 2022-11-01 2023-05-02 中南大学 GNSS Station Layout Method Based on InSAR Deformation and Its Application

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106526590A (en) * 2016-11-04 2017-03-22 山东科技大学 Method for monitoring and resolving three-dimensional ground surface deformation of industrial and mining area by means of multi-source SAR image
US20210095959A1 (en) * 2019-01-24 2021-04-01 Dalian University Of Technology 3D measurement model and spatial calibration method based on 1D displacement sensor
CN116052009A (en) * 2022-11-01 2023-05-02 中南大学 GNSS Station Layout Method Based on InSAR Deformation and Its Application

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
LIU H 等: "Applicability assessment of multi source DEM-assisted InSAR deformation monitoring considering two topographical features", LAND, 25 June 2023 (2023-06-25), pages 1 - 15 *
李如仁 等: "基于InSAR-COMSOL的露天矿边坡稳定性分析及形变预测", 金属矿山, no. 573, 31 March 2024 (2024-03-31), pages 172 - 182 *

Also Published As

Publication number Publication date
CN119936871B (en) 2025-11-21

Similar Documents

Publication Publication Date Title
Homescu Implied volatility surface: Construction methodologies and characteristics
CN109146976B (en) Method and device for locating unmanned vehicles
EP4509797A1 (en) Point cloud matching-based welded seam size measurement method and system, medium, and device
CN115730424B (en) Finite fault inversion method, device and terminal based on multi-source geodetic data
US7787696B2 (en) Systems and methods for adaptive sampling and estimating a systematic relationship between a plurality of points
CN108153979B (en) Deformation information extraction method based on InSAR, terminal and storage medium
CN111080682A (en) Method and device for registration of point cloud data
CN110675440A (en) Confidence evaluation method and device for three-dimensional depth data and computer equipment
CN112967386A (en) Biomechanical modeling method and device, electronic equipment and storage medium
CN116109706B (en) Space target inversion method, device and equipment based on prior geometric constraints
CN108286946B (en) Method and system for sensor position calibration and data splicing
Kikuchi Dynamic spatial treatment effect boundaries: A continuous functional framework from Navier-Stokes equations
CN119936871B (en) A method and system for calculating three-dimensional deformation of ground-based radar
García-Alfonso et al. Comparison of uncertainty analysis of the Montecarlo and Latin Hypercube algorithms in a camera calibration model
CN115079166B (en) Millimeter wave radar disaster monitoring method and system and electronic equipment
Hild et al. Displacement uncertainties with multiview correlation schemes
Godinho et al. An efficient technique for surface strain recovery from photogrammetric data using meshless interpolation
Yang et al. Metrological performance quantification of a 3D-DIC system
CN114449439B (en) Underground pipe gallery space positioning method and device
CN113887280B (en) Motion capture test method, location detection method of occlusion points in motion capture process
US20230401670A1 (en) Multi-scale autoencoder generation method, electronic device and readable storage medium
CN115700760A (en) Multi-mode data-based total-space laser radar scattering cross section calculation method
US20240377528A1 (en) State determination device, state determination method, and recording medium having state determination program stored thereon
CN116610468A (en) Evaluation method, system, server and storage medium
JP2017505474A (en) Method and system for estimating values derived from a large data set based on values calculated from a smaller data set

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant