CN110441770A - Three-dimensional deformation measurement method based on multi-section MIMO-SAR joint observation - Google Patents
Three-dimensional deformation measurement method based on multi-section MIMO-SAR joint observation Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/89—Radar or analogous systems specially adapted for specific applications for mapping or imaging
- G01S13/90—Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
- G01S13/9021—SAR image post-processing techniques
- G01S13/9023—SAR image post-processing techniques combined with interferometric techniques
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/87—Combinations of radar systems, e.g. primary radar and secondary radar
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/89—Radar or analogous systems specially adapted for specific applications for mapping or imaging
- G01S13/90—Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
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Abstract
The present invention provides a kind of three-dimensional deformation measurement method based on multi-section MIMO-SAR joint observation, detailed process are as follows: carries out cloth station at least three MIMO-SAR, is observed it to same region to be monitored;The radar image of MIMO-SAR is registrated, the PS point set of the same name of common observation area is obtained;In each measurement period, observation area is treated using MIMO-SAR and carries out one-dimensional deformation measurement, obtain deformation data corresponding to every PS point on image;Deformation data corresponding to PS point of the same name is selected to carry out three-dimensional deformation measurement from all PS points.The present invention can be realized the real-time high-precision acquisition to the three-dimensional deformation information of observation area.
Description
Technical field
The invention belongs to synthetic aperture radar technique fields, specifically, being related to a kind of based on multi-section MIMO-SAR joint
The three-dimensional deformation measurement method of observation.
Background technique
Landslide disaster is occurrence frequency highest and maximum one kind of harm in geological disaster, it is however generally that, it is caused on landslide
Major accident in, open-pit slope landslide, landslide, tailing dam slope and land slide and dam landslide generation it is the most frequent,
Caused by lose it is also maximum.The trigger mechanism of Study of Landslides simultaneously realizes that fast and accurately lin-gang new city has become very urgent
Task.The factor of induced landslide mainly includes natural cause (climate change, colcanism and geological movement etc.) and human factor
(mining, depletion of groundwater and vegetation deterioration etc.), still, no matter coming down is induced by which kind of factor, side slope macroscopic view unstability it
Before, micro-displacement all can first occur for surface.Therefore, the surface deformation information for obtaining monitoring region, it is sliding for timely early warning
The generation of slope disaster, and the triggering factors of further investigation slope and land slide, tool have very important significance.
According to the operating mode and measuring characteristic of distortion measurement, distortion measurement technology can be divided into two classes: one kind is with list
Based on point measurement, then the deformation by the result of spot measurement by compensating computation estimation whole region, including total station, GPS
Measurement, displacement meter, Fibre Optical Sensor measurement etc.;One kind is the totality in available monitoring region with the characteristics of being measured by continuous level
Deformation characteristics and trend, as laser scanner, satellite-borne SAR (synthetic aperture radar, Synthetic Aperture Radar) and
Ground SAR etc..Ground SAR is round-the-clock, a wide range of with round-the-clock to cover, is non-as a kind of high-precision distortion measurement instrument
The advantages that contact type measurement and high-precision, is widely used in landslide monitoring, dam monitoring, glacier monitoring and building monitoring etc..
Ground SAR is normally based on antenna along the Mechanical Moving of high-accuracy sliding rail to form synthetic aperture.It is high to realize
Precision distortion measurement, antenna need sliding rail to keep the attitude stability of height when carrying out Mechanical Moving along sliding rail.As one kind
Novel quick and high-precision deformation monitoring instrument, in recent years, MIMO-SAR (Multiple-Input Multiple-
Output SAR) start to have obtained extensive concern in deformation monitoring field.MIMO-SAR is to use MIMO technique,
By the specific arrangement of multiple transmitting antennas and receiving antenna come equivalent at a big synthetic aperture.MIMO-SAR can be considered as
A kind of ground SAR of particular job system, is not needed to be realized synthetic aperture using high-accuracy sliding rail, on the one hand avoids day
When line moves on the slide rail, due to antenna vibration on the slide rail or the unsteady attitude of sliding rail, brought orbital phase
On the other hand system cost greatly reduces in error, the large-scale commercial applications for being advantageously implemented MIMO-SAR are promoted.
Exemplary shortcomings when radar distortion measurement are that it can only obtain target area along the one of radar line of sight direction
Deformation data is tieed up, however the formation condition of landslide disaster and influence factor are very complicated, can be divided into creep, cunning according to deformation mechanism
Types, the different types of landslides such as shifting, bending, modeling shifting can show different surface deformation modes;And one complete sliding
Slope element is complicated, including slip mass, sliding surface, rupture wall, landslide ladder, landslide crack etc., the not same district on same landslide
The surface deformation feature in domain is not also identical;In addition, landslide breeds different parts of the evolving stage in earth's surface and can successively occur one
The different microgeomorphologyd of a little properties can be divided into creep phase, constant velocity stage, boost phase and acute sliding stage, same landslide
The rate of deformation for being in different phase is different.
Therefore, because the formation condition of landslide disaster and the complexity of influence factor, the deformation characteristics on surface also compare
Complexity obtains the one-dimensional deformation information of its direction of visual lines only with a MIMO-SAR, is difficult accurately to reflect monitoring region
True deformation data.It, will if the three-dimensional deformation information of different location in monitoring region can be got in real time and accurately
The place that most probable can come down is facilitated deciding on, spatial prediction is advantageously implemented, to carry out emphasis prison to danger zone
It surveys, and combines corresponding mechanical mechanism and geological model, be advantageously implemented the prediction to landslide time, to carry out timely
Forecasting and warning.
In conclusion aiming at the problem that MIMO-SAR is only capable of obtaining one-dimensional deformation information, it is necessary to carry out high-precision three-dimensional
The research of distortion measurement technology.
Summary of the invention
In view of this, the present invention provides a kind of three-dimensional deformation measurement method based on multi-section MIMO-SAR joint observation,
It can be realized the real-time high-precision acquisition to the three-dimensional deformation information of observation area.
Realize that technical scheme is as follows:
A kind of three-dimensional deformation measurement method based on multi-section MIMO-SAR joint observation, detailed process are as follows:
Cloth station is carried out at least three MIMO-SAR, is observed it to same region to be monitored;
The radar image of MIMO-SAR is registrated, the PS point set of the same name of common observation area is obtained;
In each measurement period, observation area is treated using MIMO-SAR and carries out one-dimensional deformation measurement, obtain every on image
Deformation data corresponding to 1 PS point;Deformation data corresponding to PS point of the same name is selected to carry out three-dimensional deformation survey from all PS points
Amount.
Further, the PS point set of the same name of the present invention for obtaining common observation area is combined into the DEM based on observation scene
The geometrical relationship of information, the location information of MIMO-SAR and imaging obtains.
Further, the process of the PS point set of the same name of the present invention for obtaining common observation area are as follows:
For each MIMO-SAR, PS point is selected from the image acquired in it, constitutes PS point set;
For each MIMO-SAR, it is based on its imaging geometry, the DEM information of scene will be observed in each portion's radar
It is projected respectively under imaging angle, obtains projection point set;
It for PS point set corresponding to each MIMO-SAR and projection point set, carries out that intersection is taken to handle, obtain effectively
Project point set;
It finds with effectively projection point set there are the DEM mesh point of corresponding relationship, constitutes effective grid point set, then by institute
There is the common intersection of the corresponding effective grid point set of MIMO-SAR to be defined as mesh point subset of the same name;
It concentrates, obtains and PS point corresponding to the mesh point subset of the same name, composition from the corresponding PS point of each portion MIMO-SAR
PS point set of the same name.
Further, of the present invention that cloth stations are carried out at least three MIMO-SAR are as follows: from allowing to lay MIMO-SAR's
In observation point, maximum cloth station of distance interval is selected.
Beneficial effect
The present invention carries out joint observation by using multi-section MIMO-SAR, and obtains observation area respectively in every radar
The one-dimensional deformation information under visual angle is observed, based on radar image registration as a result, it is possible to achieve three-dimensional deformation to observation area
The measurement of information.The technology is based on multi-section MIMO-SAR joint observation, had both had single portion MIMO-SAR and has carried out one-dimensional deformation measurement
When round-the-clock, round-the-clock, a wide range of and high-precision the advantages that, and solve single portion MIMO-SAR cannot achieve three-dimensional deformation survey
The problem of amount.
Detailed description of the invention
Fig. 1 is multi-section MIMO-SAR joint observation geometric representation of the invention.
Fig. 2 is that radar image of the invention is registrated schematic diagram.
Fig. 3 is that radar image of the invention is registrated flow chart.
Fig. 4 is three-dimensional deformation instrumentation plan of the invention.
Specific embodiment
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention
In attached drawing, the technical scheme in the embodiment of the invention is clearly and completely described.
The present invention provides a kind of three-dimensional deformation measurement methods based on multi-section MIMO-SAR joint observation, including following step
It is rapid:
Multi-section MIMO-SAR cloth station
Fig. 1 show the geometric representation of multi-section MIMO-SAR joint observation.To realize the three-dimensional shaped to a monitoring region
The measurement for becoming information at least needs three MIMO-SAR that the region is carried out while being monitored from different positions.Using multi-section
When MIMO-SAR joint observation, the difference of observation angle directly affects the precision of three-dimensional deformation resolving between different radars.For
It realizes Optimal Station when multi-section radar joint observation, needs to consider the line directions of different radars and scene center, each portion's thunder
Up to distortion measurement precision height the problems such as.When it is assumed that the distortion measurement of each portion's radar is independent of one another and precision is identical, radar
The optimization at cloth station is only dependent upon the observation visual angle of radar.When such as using three MIMO-SAR, every radar and scene center
When line is mutually orthogonal, Method in Positioning of Radar is optimal.But in fact, due to around the side slope of mining area scene it is sufficiently complex, be difficult to accomplish spirit
Selection observation place living, the radar Optimal Station obtained based on theory analysis are difficult to realize.Premise in limited observation place
Under, when being typically chosen distance interval maximum between each portion's radar, Optimal Station may be implemented.
Radar image registration
To realize three-dimensional deformation measurement, multi-section MIMO-SAR needs to be in different positions and is observed to the same area.
Due to the influence of geometric distortion, the imaging results difference of different radar images is very big, is on the one hand not easily found pixel of the same name,
On the other hand image registration cannot achieve based on conventional geometric transformation.Fig. 2 show radar image registration schematic diagram.Fig. 2 (a)
It show two MIMO-SAR and is in the geometric representation that different location is observed same ideal ramp, Fig. 2 (b) and 2 (c)
Shown is respectively the imaging results of radar 1 and radar 2, it is clear that characteristics of image difference is very big, conventional based on geometric transformation
Method for registering images is no longer applicable in.It is, therefore, desirable to provide when a kind of new suitable three-dimensional deformation measures, multi-section MIMO-SAR joint
Method for registering images under observation.
In DEM (Digital Elevation Model, the digital elevation model) information and multi-section for obtaining observation scene
, can be based on the geometrical relationship of radar imagery after the location information of radar, the DEM for obtaining observation scene first is seen in each radar
Then subpoint information under measuring angle can will characterize each mesh point of DEM and the pixel in different radar images
It connects, then by means of DEM information, the matching of pixel of the same name in different radar images may be implemented.In Fig. 2, scene
There are a mesh point P in DEM, and in the imaging results of two radars, corresponding subpoint is respectively P1And P2, by means of DEM
Information, the geometrical relationship based on radar imagery can be by P1And P2It associates, that is, realizes same place P1And P2Registration.It is right
It in other mesh points of characterization DEM, is handled using identical method, it can realize the radar under multi-section radar joint observation
The registration of image.
In actual treatment, due to being influenced by non-ideal factors such as system thermal noise, atmospheric perturbations, in radar image
And not all pixel is suitable for carrying out deformation analysis, needs to select the high pixel of some phase masses, as PS point
(Permanent Scatterers, Permanent scatterers).Therefore, radar image is being carried out with punctual, it may be considered that be based on PS point
Method for registering.Fig. 3 show image registration flow chart, it is assumed that realize that three-dimensional deformation is measured using the portion M MIMO-SAR system,
The following steps can be divided by being then registrated process:
(1) location information that the DEM information and each portion's radar of scene will be observed, the input ginseng as radar image registration
Number.In addition, needing each portion's radar to obtain a certain number of images respectively in the initial stage of distortion measurement, and carry out PS point
Selection, define PS point set 1, PS point set 2 ..., PS point set M, each PS point has uniquely in radar image in set
Row coordinate and column coordinate;
(2) based on the geometrical relationship of radar imagery, DEM information is thrown respectively under the imaging angle of each portion's radar
Shadow, obtain projection point set 1, projection point set 2 ..., projection point set M, project point set in each subpoint in radar
Equally have unique row coordinate and column coordinate in image, respectively with corresponding PS point set conjunction intersection, available effective projection
Point set 1, effectively projection point set 2 ..., effectively projection point set M;
(3) due between projection point set and DEM grid point set there are corresponding relationship, based on every radar
Effectively projection point set, available corresponding effective grid point set 1, effective grid point set 2 ..., effective grid point set
M is closed, the common intersection of all effective grid point sets is defined as mesh point subset of the same name, i.e. each of subset mesh point
It is PS point under the observation angle of each portion's radar;
(4) it is based on mesh point subset of the same name, combines the PS point set of each portion's radar, available corresponding PS point set of the same name
Close 1, PS point set 2 of the same name ..., PS point set M of the same name realized under multi-section radar joint observation that is, by means of DEM information,
The registration of PS point of the same name.
Radar image, which is registered in entire monitoring process, to be only needed to be performed once, and the result of acquisition is used each observation
It is carried out in three-dimensional deformation measurement in period.
One-dimensional deformation measurement
Single portion MIMO-SAR is in a fixed position, carries out continuous observation to a region, obtains a large amount of radar images, pass through
These radar images are handled, one-dimensional deformation measurement are realized, after the real-time and precision of distortion measurement directly affect
Continuous three-dimensional deformation resolves.MIMO-SAR is normally based on differential SAR Interferometry technology and realizes High Precision One Dimensional deformation letter at this stage
The acquisition of breath, key technology are as follows:
Differential interferometry
All pixels point in MIMO-SAR imaging results is plural number, and the amplitude of pixel reflects that the pixel is corresponding
The power of the radar scattering ability in region, phase reflect the actual range between corresponding region and radar.Therefore, for not
Corresponding pixel points are carried out complex conjugate multiplication, available width differential interferometry by the two width MIMO-SAR images obtained in the same time
Figure, phase information can reflect in the time interval for obtaining this two width SAR image, monitor the deformation data of scene.
The selection of PS point
When obtaining a width differential interferometry phase diagram based on two width MIMO-SAR images, due to by system thermal noise, atmosphere
The influence of the non-ideal factors such as disturbance, the phase masses of part pixel are very low in interferometric phase image, therefore, generally select out PS
Point is to carry out deformation analysis.In the field differential interferometry SAR, amplitude departure method is generallyd use to carry out the selection of PS point.Amplitude from
Poor method selects PS point by the estimation of the range stability to a pixel in several timing SAR images, clicks for PS
The SAR image quantity selected generally is no less than 20 width.The amplitude deviation value D of one pixelACalculation formula be
DA=σA/mA (1)
Wherein, σAAnd mARespectively indicate the standard deviation and mean value of pixel amplitude time series.By to DAIt is arranged centainly
Threshold value DT, it can realize the selection of PS point, Criterion of Selecting is
DA≤DT (2)
In general, DTValue range be 0.15-0.25.
Phase unwrapping
Due to the influence of phase cycling variation, in differential interferometry phase diagram the phase of PS point be in [- π, π) in section,
That is what the phase of PS point was wound around.To obtain the true phase of PS point, need to carry out phase unwrapping.Since PS point is heterogeneous
It is distributed in imaging results, phase unwrapping is generally realized using the minimum cost flow method under non-uniform grid.By phase
After solution twines processing, the solution of PS point is twined in phase comprising deformation phase component, atmospheric phase component, noise phase component etc..
Atmospheric phase compensation
The two width MIMO-SAR images for carrying out differential interferometry processing were obtained in different moments, time interval short then a few minutes
Clock, long then a few hours, therefore, in the time interval that two images obtain, weather condition inevitably will appear variation, such as
Temperature, atmospheric pressure, humidity etc..Since transmission of the atmosphere to electromagnetic wave can generate delay, to can be deposited in the differential phase of PS point
Changing caused atmospheric phase error by atmospheric conditions, and the distance change as brought by atmospheric phase error can achieve
Several millimeters.To realize high-precision distortion measurement, it is necessary to carry out reasonable compensation to atmospheric phase, carry out the side of atmospheric phase compensation
There are two types of method is general;First is that establishing weather station, model is established based on atmospheric phase parameter;First is that selecting one from scene
A little stationary reference points, establish multi-parameters model.
Deformation inverting
After above-mentioned steps are handled, the solution of PS point is twined in phase substantially only comprising deformation phase component.Assuming that one
The deformation phase of PS point isDeformation data is Δ d, and the acquisition to deformation data Δ d may be implemented based on following formula,
Δ d=λ Δ φ/(4 π) (3)
Wherein, λ is signal wavelength.
Three-dimensional deformation measurement
It is registrated the stage in radar image, obtains mesh point information of the same name, it, can be with based on the three-dimensional coordinate of mesh point of the same name
The unit vector on each mesh point of the same name and each portion's radar line is calculated, in the one-dimensional deformation distortion measurement stage, is obtained
One-dimensional deformation amount of the PS point of the same name under each portion's radar observation angle, then can directly carry out three-dimensional deformation resolving.Shown in Fig. 4
For the schematic diagram for carrying out three-dimensional deformation measurement using three radars.
If in grid point set of the same name there are the true three-dimension deformation quantity of point a P, defining point P be dP=[dx,dy,dz]T, the
The aperture center of the portion i radar and the unit vector on point P line are Vi=[Vxi,Vyi,Vzi], the direction of visual lines deformation quantity of acquisition
For d 'Pi=Δ d, then can establish observational equation
VidP=d 'Pi+wi (4)
Wherein, wiFor observation noise, if its standard deviation is σi。
The observational equation of the connection portion M radar can establish equation group
VdP=d 'P+w (5)
Wherein, V=[V1;V2;...;VM], d 'P=[d 'P1 d′P2...d′PM]T, w=[w1 w2...wM]T
Therefore, the weighted least square of the three-dimensional shaped variable of point P is
Wherein W is weight matrix,
Using same processing mode, estimating for three-dimensional shaped variable can also be carried out to other points in grid point set of the same name
Meter, finally realizes three distortion measurements of high-precision under multi-section MIMO-SAR joint observation.
During one-dimensional deformation calculates Δ d, due to selected PS point density to the precision of calculated result exist compared with
Big influence computational accuracy if only calculating the PS point of the same name obtained in process of image registration is unable to satisfy requirement, therefore this process
The selection of PS point and the calculating of deformation data are carried out using the method for existing one-dimensional deformation measurement.Due to one-dimensional deformation measurement
The point of PS selected by method contains PS point of the same name, therefore in three-dimensional deformation measurement, measures obtained deformation from one-dimensional deformation
The corresponding deformation data of PS point of the same name is found in information, calculates the corresponding deformation quantity of each PS point of the same name.
In conclusion the above is merely preferred embodiments of the present invention, being not intended to limit the scope of the present invention.
All within the spirits and principles of the present invention, any modification, equivalent replacement, improvement and so on should be included in of the invention
Within protection scope.
Claims (4)
1. a kind of three-dimensional deformation measurement method based on multi-section MIMO-SAR joint observation, which is characterized in that detailed process are as follows:
Cloth station is carried out at least three MIMO-SAR, is observed it to same region to be monitored;
The radar image of MIMO-SAR is registrated, the PS point set of the same name of common observation area is obtained;
In each measurement period, observation area is treated using MIMO-SAR and carries out one-dimensional deformation measurement, obtains every PS on image
The corresponding deformation data of point;Deformation data corresponding to PS point of the same name is selected to carry out three-dimensional deformation measurement from all PS points.
2. the three-dimensional deformation measurement method according to claim 1 based on multi-section MIMO-SAR joint observation, which is characterized in that
The PS point set of the same name for obtaining common observation area is combined into the location information of DEM information based on observation scene, MIMO-SAR
And the geometrical relationship of imaging obtains.
3. the three-dimensional deformation measurement method according to claim 2 based on multi-section MIMO-SAR joint observation, which is characterized in that
The process of the PS point set of the same name for obtaining common observation area are as follows:
For each MIMO-SAR, PS point is selected from the image acquired in it, constitutes PS point set;
For each MIMO-SAR, it is based on its imaging geometry, imaging of the DEM information in each portion's radar of scene will be observed
It is projected respectively under angle, obtains projection point set;
For PS point set corresponding to each MIMO-SAR and projection point set, carries out that intersection is taken to handle, effectively projected
Point set;
It finds and constitutes effective grid point set there are the DEM mesh point of corresponding relationship with effectively projection point set, then will own
The common intersection of the corresponding effective grid point set of MIMO-SAR is defined as mesh point subset of the same name;
It is concentrated from the corresponding PS point of each portion MIMO-SAR, acquisition and PS point corresponding to the mesh point subset of the same name are constituted of the same name
PS point set.
4. the three-dimensional deformation measurement method according to claim 1 based on multi-section MIMO-SAR joint observation, which is characterized in that
It is described that cloth station is carried out at least three MIMO-SAR are as follows: from the observation point for allowing to lay MIMO-SAR, to select distance interval most
Big point cloth station.
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CN111239732A (en) * | 2020-01-19 | 2020-06-05 | 北京理工大学 | Optimal observation geometric configuration method for realizing three-dimensional deformation measurement of multi-foundation SAR |
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CN111243240B (en) * | 2020-01-20 | 2021-09-10 | 内蒙古工业大学 | Landslide early warning method and device |
CN111505634A (en) * | 2020-04-29 | 2020-08-07 | 湖南鼎方量子科技有限公司 | High-precision slope deformation monitoring system and method |
CN111721241A (en) * | 2020-05-08 | 2020-09-29 | 北京理工大学 | GNSS-InBSAR and GB-InSAR cross-system fusion three-dimensional deformation measurement method |
CN113096005A (en) * | 2021-04-06 | 2021-07-09 | 中国科学院生态环境研究中心 | Radar time sequence differential interferometry method for monitoring mountain body lifting speed at present |
CN113096005B (en) * | 2021-04-06 | 2023-07-07 | 中国科学院生态环境研究中心 | Radar time sequence differential interferometry method for monitoring current lifting speed of mountain |
CN114200109A (en) * | 2021-12-14 | 2022-03-18 | 西北大学 | Internal and external coupling landslide disaster-causing mechanism analysis method |
CN115685187A (en) * | 2022-07-08 | 2023-02-03 | 中山大学 | High-integration portable MIMO deformation monitoring radar device and correction method |
CN115685187B (en) * | 2022-07-08 | 2023-10-13 | 中山大学 | High-integration portable MIMO deformation monitoring radar device and correction method |
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