Information processing device, information processing method, and program

The information processing device and method utilize single-satellite SAR data and physical constraints to estimate bridge displacement in multiple directions, enhancing accuracy and applicability of bridge displacement analysis.

JP2026042288APending Publication Date: 2026-03-11NEC CORP
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Patent Information

Authority / Receiving Office
JP · JP
Patent Type
Applications
Current Assignee / Owner
Filing Date
2024-08-27
Publication Date
2026-03-11

AI Technical Summary

Technical Problem

Existing bridge displacement analysis methods using satellite SAR are limited by the need for two satellites to determine displacement direction, restricting their applicability to specific targets.

Method used

An information processing device and method that estimates displacement in multiple directions using irradiation direction data from a single satellite, employing physical constraints and residual calculations to decompose displacement into bridge axis and vertical components.

Benefits of technology

Enables accurate calculation of bridge displacement in both bridge axis and vertical directions using data from a single satellite, overcoming limitations of conventional methods and improving accuracy.

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Abstract

Using only one projectile, it is possible to calculate the amount of displacement in a direction appropriate for the object of analysis. [Solution] The information processing device 10 includes a data acquisition unit 11 that acquires irradiation direction displacement data that indicates the amount of displacement in the irradiation direction of the object, generated by irradiation of radio waves from a flying object to the object; a displacement amount estimation unit 12 that estimates the amount of displacement of the object in a first direction under physical constraints on the object; a residual calculation unit 13 that calculates a residual by subtracting a value obtained by projecting the estimated amount of displacement in the first direction into the irradiation direction from the amount of displacement indicated by the irradiation direction displacement data; and a residual conversion unit 14 that projects the calculated residual into a displacement amount of the object in the second direction.
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Description

[Technical Field]

[0001] The present disclosure relates to an information processing device and an information processing method for calculating displacement occurring in a structure, and further to a program for realizing these. [Background technology]

[0002] In general, infrastructure structures such as bridges have a limited lifespan, and in recent years, the aging of many infrastructure structures has become a major social issue. Periodic inspections are essential for the maintenance and management of such infrastructure structures, and these inspections are typically carried out manually. However, due to labor shortages, there are limitations to manual inspections, so monitoring technologies using various sensors are attracting attention.

[0003] For example, bridge displacement analysis using satellite synthetic aperture radar (SAR) has been proposed for bridges. In bridge displacement analysis using satellite SAR, radio waves are emitted from an artificial satellite toward the bridge at set intervals, and the reflected waves are received. Then, the phase difference between the reflected waves is calculated through interference processing. This phase difference is caused by the displacement that occurred on the bridge during the radio wave emission interval. The phase difference is then converted into displacement using the wavelength of the radio waves.

[0004] However, the displacement calculated in the above bridge displacement analysis is the displacement in the line of sight between the ground and the satellite (hereinafter referred to as "LOS (Line of Sight) displacement"). It is difficult to determine the direction and magnitude of the actual bridge displacement from this LOS displacement. For this reason, a displacement analysis (2.5-dimensional analysis) using two satellites on different orbits has been proposed (see, for example, Non-Patent Document 1).

[0005] In the displacement analysis disclosed in Non-Patent Document 1, the displacement analysis result of the northward orbit (ascending orbit) of the first satellite and the displacement analysis result of the southward orbit (descending orbit) of the second satellite are combined. As a result, the displacement of the target is decomposed into quasi-east-west and quasi-up-down components. [Prior art documents] [Non-patent literature]

[0006] [Non-Patent Document 1] Satoshi Fujiwara et al., “2.5-D surface deformation of M6.1 earthquake near Mt Iwate detected by SAR interferometry”, Geophysical Research Letters, Vol.27, No.14, pp.2049-2052, July 15, 2000. Summary of the Invention [Problem to be solved by the invention]

[0007] However, there is a problem in that there are very few cases where two different satellites irradiate radio waves to the same target. For this reason, the targets to which the displacement analysis disclosed in Non-Patent Document 1 can be applied are very limited. Therefore, there is a need to use only one satellite to identify the amount of displacement in the direction in which the displacement actually occurred in an infrastructure structure such as a bridge.

[0008] An example of an object of the present disclosure is to enable calculation of a displacement amount in a direction according to an analysis target using only one flying object. [Means for solving the problem]

[0009] In order to achieve the above object, an information processing device according to one aspect of the present disclosure includes: a data acquisition unit that acquires irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimation unit that estimates a displacement amount of the object in a first direction under a physical constraint condition of the object; a residual calculation unit that calculates a residual by subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data; a residual conversion unit that projects the calculated residual in a second direction, thereby converting the residual into a displacement amount of the object in the second direction; The present invention is characterized in that it is provided with:

[0010] In order to achieve the above object, an information processing method according to one aspect of the present disclosure includes: a data acquisition step of acquiring irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimating step of estimating a displacement amount of the object in a first direction under physical constraint conditions of the object; a residual calculation step of subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data to calculate a residual; a residual transformation step of projecting the calculated residual in a second direction, thereby transforming the residual into a displacement amount of the object in the second direction; The present invention is characterized by having the following:

[0011] Furthermore, in order to achieve the above object, a program according to one aspect of the present disclosure includes: On the computer, a data acquisition step of acquiring irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimating step of estimating a displacement amount of the object in a first direction under physical constraint conditions of the object; a residual calculation step of subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data to calculate a residual; a residual transformation step of projecting the calculated residual in a second direction, thereby transforming the residual into a displacement amount of the object in the second direction; The method is characterized in that: [Effects of the Invention]

[0012] As described above, according to the present disclosure, it is possible to calculate the amount of displacement in a direction according to the analysis target using only one flying object. [Brief explanation of the drawings]

[0013] [Figure 1] FIG. 1 is a diagram illustrating a schematic configuration of an example of an information processing device. [Figure 2] FIG. 2 is a diagram showing a more specific configuration of an example of the information processing device. [Figure 3] FIG. 3 is a diagram showing reflection points and an object for which irradiation direction displacement data is generated. [Figure 4] FIG. 4 is a diagram showing an example of irradiation direction displacement data measured by an artificial satellite. [Figure 5] FIG. 5 is a diagram showing the relationship between the Loss displacement and the set direction of the object. [Figure 6] FIG. 6 is a flow diagram illustrating an example of the operation of the information processing device. [Figure 7] FIG. 7 is a flowchart showing in detail an example of the process of estimating the displacement amount in the bridge axis direction shown in FIG. [Figure 8] FIG. 8 is a block diagram illustrating an example of a computer that realizes the information processing device. DETAILED DESCRIPTION OF THE INVENTION

[0014] (Embodiment) An information processing device, an information processing method, and a program according to an embodiment will be described below with reference to FIGS.

[0015] [Device configuration] First, a schematic configuration of an information processing device according to an embodiment will be described with reference to Fig. 1. Fig. 1 is a diagram showing a schematic configuration of an example of an information processing device.

[0016] An information processing device 10 shown in Fig. 1 is a device for calculating a displacement occurring in an object. As shown in Fig. 1, the information processing device 10 includes a data acquisition unit 11, a displacement amount estimation unit 12, a residual calculation unit 13, and a residual conversion unit 14.

[0017] The data acquisition unit 11 acquires irradiation direction displacement data that indicates the amount of displacement of the object in the irradiation direction, the data being generated by irradiation of the object with radio waves from the flying object. The displacement amount estimation unit 12 estimates the amount of displacement of the object in a first direction under physical constraints on the object.

[0018] The residual calculation unit 13 calculates a residual by subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data. The residual conversion unit 14 projects the calculated residual into a displacement amount of the object in the second direction.

[0019] In this way, the information processing device 10 can estimate the displacement amount of the target object in the first direction and the second direction using only irradiation direction displacement data obtained from one flying object. According to the information processing device 10, it is possible to calculate the displacement amount in a direction corresponding to the target object (analysis target) using only one flying object.

[0020] Next, the configuration and functions of the information processing device 10 will be specifically described with reference to Figs. 2 to 5. Fig. 2 is a configuration diagram showing the configuration of an example of the information processing device in more detail. Fig. 3 is a diagram showing reflection points and an object for which irradiation direction displacement data is generated. Fig. 4 is a diagram showing an example of irradiation direction displacement data measured by an artificial satellite. Fig. 5 is a diagram showing the relationship between Loss displacement and the set direction of the object.

[0021] 2, the information processing device 10 includes a filter unit 15 and an output unit 16 in addition to the above-mentioned data acquisition unit 11, displacement amount estimation unit 12, residual calculation unit 13, and residual conversion unit 14. In the following description, it is assumed that the flying object is an artificial satellite 20 and the target object is a bridge 30. It is also assumed that the first direction of the target object is the bridge axis direction (x direction) of the bridge 30, and the second direction is the vertical direction (z direction).

[0022] 3, the radiation direction displacement data transmitted from the artificial satellite 20 is data on the LOS displacement for each reflection point 31 analyzed by the satellite SAR. In FIG. 3, the dashed arrow indicates the radiation direction of the radio waves from the artificial satellite 20, and the solid arrow indicates the orbit of the artificial satellite 20.

[0023] As shown in Fig. 4, the LOS displacement is the displacement in the line of sight (illumination direction) of the satellite. On the other hand, the displacements being calculated are the displacement of the bridge 30 in the bridge axis direction and the vertical direction, as will be described later. Also, in Fig. 4, the bridge is shown as a model. In the example of Fig. 4, the bridge is deformed by thermal expansion or contraction, which causes displacement. Note that the bridge 30 is also deformed by factors other than heat, for example, the weight of passing vehicles.

[0024] 2, the artificial satellite 20 transmits irradiation direction displacement data to a base (not shown in FIG. 2) at a set date and time or periodically. The irradiation direction displacement data received at the base is accumulated in a database 21. The irradiation direction displacement data also includes an observation time, and the accumulated irradiation direction displacement data is time-series data.

[0025] In this embodiment, the data acquisition unit 11 acquires irradiation direction displacement data at each reflection point of the bridge 30 from the database 21. Since irradiation direction displacement data is acquired for each reflection point in this manner, the processing by the displacement amount estimation unit 12, residual calculation unit 13, and residual conversion unit 14 is performed for each reflection point.

[0026] In this embodiment, the displacement estimation unit 12 estimates the displacement of the bridge 30, which is the object, in the bridge axis direction under the physical constraints of the bridge 30. Here, in the case where the object is the bridge 30, examples of the physical constraints include constraints due to thermal expansion and contraction, deformation due to load, and the like.

[0027] In the embodiment, the physical constraint is the displacement dx in the bridge axis direction (in the first direction) and the specific parameter C x Therefore, the displacement estimation unit 12 determines the relationship between the specific parameter C x Then, the displacement estimation unit 12 estimates the estimated specific parameter C x is applied to the constraint condition equation to estimate the displacement dx in the bridge axis direction (first direction). The constraint condition equation is expressed by, for example, the following equation 1.

[0028]

number

[0029] Here, the specific parameter C x The estimation process of the displacement d in the irradiation direction will be described in more detail. los can be expressed by the following equation 2 using the displacement dx in the bridge axis direction (first direction) and the displacement dz in the vertical direction (second direction). The following equation 2 is also called the projection equation.

[0030]

number

[0031] In the above equation 2, as shown in FIG. 5, θ is the angle between the line of sight of the satellite 20 on the zx plane and the vertical direction. Also, as shown in FIG. 5, α is the angle between the line of sight of the satellite 20 on the xy plane and the bridge axis direction. The y axis direction is perpendicular to the bridge axis direction and the vertical direction. Also, in the above equation 2, the vertical displacement dz is extremely small compared to the displacement dx in the bridge axis direction, so the above equation 2 can be rewritten as the following equation 3 using the above equation 1.

[0032]

number

[0033] Therefore, the displacement estimation unit 12 first calculates the specific parameter C x is set as the initial value, and the provisional displacement d los Next, the displacement estimation unit 12 calculates the provisional displacement d los and the displacement amount specified by the irradiation direction displacement data. Then, the displacement amount estimation unit 12 adjusts the specified parameter C x The displacement estimation unit 12 updates the provisional displacement d los Calculation of difference, parameter C x This updates the specific parameter C x This will be obtained.

[0034] In this embodiment, the residual calculation unit 13 calculates the residual E by applying the displacement dx in the bridge axis direction estimated by the displacement estimation unit 12 to the projection equation shown in the above equation 2. Specifically, the residual E can be expressed by the following equation 4. Therefore, the projection equation can be expressed as shown in the following equation 5.

[0035]

number

[0036]

number

[0037] Therefore, the residual calculation unit 13 calculates the residual E by applying the displacement amount specified by the irradiation direction displacement data and the displacement amount dx estimated by the displacement amount estimation unit 12 to the above equation (5).

[0038] The residual conversion unit 14 applies the residual E calculated by the residual calculation unit 13 to the following equation 6 obtained from the above equation 4. As a result, the residual E is projected in the vertical direction and, as a result, converted into a displacement amount dz in the vertical direction.

[0039]

number

[0040] As described above, since the irradiation direction displacement data is acquired for each reflection point, the processing by the displacement amount estimation unit 12, the residual calculation unit 13, and the residual conversion unit 14 is performed for each reflection point. Therefore, the displacement amount dz is calculated for each reflection point. For this reason, the filter unit 15 identifies the displacement amount dz that is noise among the multiple displacement amounts dz calculated for each reflection point, and corrects the identified displacement amount dz.

[0041] Specifically, the filter unit 15 spatially arranges the displacement amounts dz calculated for each reflection point and applies a spatial filter to them. Examples of the spatial filter in this case include a Gaussian filter and a moving average filter.

[0042] The output unit 16 outputs the displacement dx in the bridge axis direction estimated by the displacement estimation unit 12 and the displacement dz in the vertical direction processed by the filter unit 15 to an external device. An example of the external device is a terminal device 40 of a user of the information processing device 10.

[0043] [Device operation] Next, an example of the operation of the information processing device 10 will be described with reference to Figures 6 and 7. In the following description, Figures 1 to 5 will be referenced as appropriate. Also, an information processing method is implemented by operating the information processing device 10. Therefore, in the embodiment, the description of the information processing method will be replaced with the following description of the operation of the information processing device 10.

[0044] First, the overall operation of the information processing device will be described with reference to Fig. 6. Fig. 6 is a flow chart showing an example of the operation of the information processing device.

[0045] As shown in FIG. 6, first, the data acquisition unit 11 acquires irradiation direction displacement data that indicates the amount of displacement in the irradiation direction of the target object, generated by irradiation of radio waves from the artificial satellite 20, which is a flying object, to the bridge 30, which is the target object (step A1).

[0046] Specifically, in step A1, the data acquisition unit 11 acquires, from the database 21 that stores the irradiation direction displacement data, irradiation direction displacement data at each reflection point of the bridge 30. Further, the subsequent steps A2 to A4 are performed for each acquired irradiation direction displacement data, i.e., for each reflection point.

[0047] Next, the displacement estimation unit 12 estimates the displacement dx in the bridge axis direction (first direction) of the bridge 30 under physical constraint conditions of the bridge 30 (step A2). Step A2 will be described in more detail below with reference to FIG. 7.

[0048] Next, the residual calculation unit 13 subtracts the value obtained by projecting the displacement dx in the bridge axis direction estimated in step A2 onto the irradiation direction from the displacement indicated by the irradiation direction displacement data acquired in step A1 to calculate the residual E (step A3).

[0049] Specifically, in step A3, the residual calculation unit 13 calculates the residual E by applying the displacement dx in the bridge axis direction estimated in step A2 to the projection equation shown in equation 2 above.

[0050] Next, the residual converter 14 projects the residual E calculated in step A3 in the vertical direction (second direction), thereby converting the residual E into a displacement dz of the bridge 30 in the vertical direction (step A4). Specifically, in step A4, the residual converter 14 applies the residual E calculated in step A3 to the following equation 6 to calculate the displacement dz.

[0051] Next, the filter unit 15 performs filtering on the displacement amount dz calculated in step A4 (step A5). Specifically, in step A5, the filter unit 15 spatially arranges the multiple displacement amounts dz calculated for each reflection point, and applies a spatial filter to these.

[0052] Thereafter, the output unit 16 outputs the displacement amount dx in the bridge axis direction estimated in step A2 and the displacement amount dz in the vertical direction after filtering in step A5 to the external terminal device 40 (step A6).

[0053] Next, the process of estimating the displacement amount dz in the bridge axis direction in step A2 will be specifically described with reference to Fig. 7. Fig. 7 is a flow chart showing in detail an example of the process of estimating the displacement amount in the bridge axis direction shown in Fig. 6.

[0054] As shown in FIG. 7, in step A2, first, the displacement estimation unit 12 calculates the specific parameter C x is set to the initial value (step A21).

[0055] Next, the displacement amount estimation unit 12 calculates a tentative displacement amount d in the irradiation direction using the above equation 3. los is calculated (step A22).

[0056] Next, the displacement amount estimation unit 12 determines whether step A22 and the subsequent steps A24 and A25 have been executed a predetermined number of times (step A23).

[0057] If the result of the determination in step A23 is that the predetermined number of times has not been executed (step A23: No), the displacement amount estimation unit 12 calculates a tentative displacement amount dlos and the difference between the displacement amount specified by the irradiation direction displacement data (step A24).

[0058] Next, the displacement amount estimation unit 12 adjusts the specific parameter C so that the difference calculated in step A24 becomes smaller. x (Step A25). After that, the updated specific parameter C x Step A22 is performed again using

[0059] On the other hand, if the result of the determination in step A23 indicates that the predetermined number of times has been executed (step A23: No), the displacement amount estimation unit 12 x is applied to the constraint condition equation shown in the above equation 1 to estimate the displacement dx in the bridge axis direction (first direction) (step A26). Step A2 ends when step A26 is executed.

[0060] In this way, the displacement amount estimation unit 12 calculates the provisional displacement amount d los (Step A22), the difference (Step A24), and the parameter C x (Step A25) is executed a set number of times. x is obtained, the estimation accuracy of the displacement dx is also improved.

[0061] [Effects of the embodiment] As described above, in the embodiment, the information processing device 10 can estimate the amount of displacement in both the bridge axis direction and the vertical direction of the bridge 30 using only irradiation direction displacement data obtained from one artificial satellite 20. According to the information processing device 10, it is possible to calculate the amount of displacement in a direction according to the object (object of analysis) using only one artificial satellite 20.

[0062] In the conventional technology disclosed in Non-Patent Document 1, in order to calculate the displacement dz of a bridge in the vertical direction, it is necessary to set a constraint equation for the displacement dz and model the displacement dz. However, unlike deck slabs, the superstructure of a bridge varies from bridge to bridge, making it extremely difficult to model (express as a function) the displacement dz. For this reason, the conventional technology disclosed in Non-Patent Document 1 has the problem of being unable to accurately calculate the displacement dz of a bridge in the vertical direction.

[0063] In contrast to this, in the embodiment, there is no need to model the displacement amount dz of the bridge 30 in the vertical direction, and it is estimated as the residual E. Therefore, according to the embodiment, the displacement amount dz of the bridge in the vertical direction can be calculated with higher accuracy than in the conventional technology.

[0064] [program] In the embodiment, the program may be a program that causes a computer to execute steps A1 to A6 shown in Fig. 6. By installing and executing this program on a computer, it is possible to realize an information processing device 10 and an information processing method. In this case, the processor of the computer functions as a data acquisition unit 11, a displacement estimation unit 12, a residual calculation unit 13, a residual conversion unit 14, a filter unit 15, and an output unit 16 to perform processing. Furthermore, examples of the computer include a general-purpose PC, a server computer, a smartphone, and a tablet terminal device.

[0065] In the embodiment, the program may be executed by a computer system constructed by a plurality of computers, in which case, for example, each computer may function as any one of the data acquisition unit 11, the displacement estimation unit 12, the residual calculation unit 13, the residual conversion unit 14, the filter unit 15, and the output unit 16.

[0066] [Physical configuration] A computer that implements the information processing device 10 by executing the program in the embodiment will now be described with reference to Fig. 8. Fig. 8 is a block diagram showing an example of a computer that implements the information processing device.

[0067] 8, the computer 110 includes a CPU (Central Processing Unit) 111, a main memory 112, a storage device 113, an input interface 114, a display controller 115, a data reader / writer 116, and a communication interface 117. These components are connected to each other via a bus 121 so as to be able to communicate data with each other.

[0068] Furthermore, the computer 110 may include a GPU (Graphics Processing Unit) or an FPGA (Field-Programmable Gate Array) in addition to or instead of the CPU 111. In this aspect, the GPU or FPGA can execute the programs in the embodiments.

[0069] The CPU 111 loads a program in the embodiment, which is composed of a group of codes and stored in the storage device 113, into the main memory 112 and executes each code in a predetermined order to perform various calculations. The main memory 112 is typically a volatile storage device such as a DRAM (Dynamic Random Access Memory).

[0070] The program in the embodiment is provided in a state stored in a computer-readable recording medium 120. The program in the embodiment may be distributed over the Internet connected via the communication interface 117.

[0071] Specific examples of the storage device 113 include a hard disk drive and a semiconductor storage device such as a flash memory. The input interface 114 mediates data transmission between the CPU 111 and input devices 118 such as a keyboard and a mouse. The display controller 115 is connected to a display device 119 and controls the display on the display device 119.

[0072] The data reader / writer 116 mediates data transmission between the CPU 111 and the recording medium 120, reads programs from the recording medium 120, and writes processing results from the computer 110 to the recording medium 120. The communication interface 117 mediates data transmission between the CPU 111 and other computers.

[0073] Specific examples of the recording medium 120 include general-purpose semiconductor storage devices such as CF (Compact Flash (registered trademark)) and SD (Secure Digital), magnetic recording media such as flexible disks, or optical recording media such as CD-ROMs (Compact Disk Read Only Memory).

[0074] The information processing device 10 can be realized not by a computer on which a program is installed, but by hardware corresponding to each unit, such as an electronic circuit. Furthermore, the information processing device 10 may be partially realized by a program and the remaining unit by hardware. In the embodiment, the computer is not limited to the computer shown in FIG. 8.

[0075] Some or all of the above-described embodiments can be expressed by (Supplementary Note 1) to (Supplementary Note 16) described below, but are not limited to the following descriptions.

[0076] (Appendix 1) a data acquisition unit that acquires irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimation unit that estimates a displacement amount of the object in a first direction under a physical constraint condition of the object; a residual calculation unit that calculates a residual by subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data; a residual conversion unit that projects the calculated residual in a second direction, thereby converting the residual into a displacement amount of the object in the second direction; An information processing device comprising:

[0077] (Appendix 2) the physical constraint is expressed by a constraint equation that defines a relationship between a displacement amount in the first direction and a specific parameter; the displacement amount estimation unit estimates the specific parameter in the constraint condition equation, and applies the estimated specific parameter to the constraint condition equation to estimate the displacement amount in the first direction; 10. The information processing device according to claim 1.

[0078] (Appendix 3) The residual calculation unit calculating the residual by applying the estimated displacement amount in the first direction to a projection equation that expresses the displacement amount in the irradiation direction using the displacement amount in the first direction and the displacement amount in the second direction; 10. The information processing device according to claim 1.

[0079] (Appendix 4) the object is a bridge, the first direction is the bridge axis direction of the bridge, The second direction is a vertical direction. 10. The information processing device according to claim 1.

[0080] (Appendix 5) a data acquisition step of acquiring irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimating step of estimating a displacement amount of the object in a first direction under physical constraint conditions of the object; a residual calculation step of subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data to calculate a residual; a residual transformation step of projecting the calculated residual in a second direction, thereby transforming the residual into a displacement amount of the object in the second direction; An information processing method comprising:

[0081] (Appendix 6) the physical constraint is expressed by a constraint equation that defines a relationship between a displacement amount in the first direction and a specific parameter; In the displacement amount estimation step, estimating the specific parameter in the constraint condition equation, and applying the estimated specific parameter to the constraint condition equation to estimate the displacement amount in the first direction; 1. The information processing method described in Appendix 5.

[0082] (Appendix 7) In the residual calculation step, calculating the residual by applying the estimated displacement amount in the first direction to a projection equation that expresses the displacement amount in the irradiation direction using the displacement amount in the first direction and the displacement amount in the second direction; 1. The information processing method described in Appendix 5.

[0083] (Appendix 8) the object is a bridge, the first direction is the bridge axis direction of the bridge, The second direction is a vertical direction. 1. The information processing method described in Appendix 5.

[0084] (Appendix 9) On the computer, a data acquisition step of acquiring irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimating step of estimating a displacement amount of the object in a first direction under physical constraint conditions of the object; a residual calculation step of subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data to calculate a residual; a residual transformation step of projecting the calculated residual in a second direction, thereby transforming the residual into a displacement amount of the object in the second direction; A program that executes.

[0085] (Appendix 10) the physical constraint is expressed by a constraint equation that defines a relationship between a displacement amount in the first direction and a specific parameter; In the displacement amount estimation step, estimating the specific parameter in the constraint condition equation, and applying the estimated specific parameter to the constraint condition equation to estimate the displacement amount in the first direction; 10. The program described in Appendix 9.

[0086] (Appendix 11) In the residual calculation step, calculating the residual by applying the estimated displacement amount in the first direction to a projection equation that expresses the displacement amount in the irradiation direction using the displacement amount in the first direction and the displacement amount in the second direction; 10. The program described in Appendix 9.

[0087] (Appendix 12) the object is a bridge, the first direction is the bridge axis direction of the bridge, The second direction is a vertical direction. 10. The program described in Appendix 9. [Industrial Applicability]

[0088] As described above, according to the present disclosure, it is possible to calculate the amount of displacement in a direction corresponding to the analysis target using only one flying object. The present disclosure is useful, for example, in a system for analyzing infrastructure structures. [Explanation of symbols]

[0089] 10. Information processing equipment 11 Data Acquisition Section 12 Displacement estimation unit 13 Residual calculation section 14 Residual transformation section 15 Filter section 16 Output section 20 satellite 21 Databases 30 Bridges 40 Terminal Equipment 110 Computer 111 CPU 112 main memory 113 Storage device 114 Input Interface 115 Display Controller 116 Data Reader / Writer 117 Communication Interface 118 Input Devices 119 Display Device 120 Recording Media 121 Bus

Claims

1. a data acquisition unit that acquires irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimation unit that estimates a displacement amount of the object in a first direction under a physical constraint condition of the object; a residual calculation unit that calculates a residual by subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data; a residual conversion unit that projects the calculated residual in a second direction, thereby converting the residual into a displacement amount of the object in the second direction; An information processing device comprising:

2. the physical constraint is expressed by a constraint equation that defines a relationship between a displacement amount in the first direction and a specific parameter; the displacement amount estimation unit estimates the specific parameter in the constraint condition equation, and applies the estimated specific parameter to the constraint condition equation to estimate the displacement amount in the first direction; The information processing device according to claim 1 .

3. The residual calculation unit calculating the residual by applying the estimated displacement amount in the first direction to a projection equation that expresses the displacement amount in the irradiation direction using the displacement amount in the first direction and the displacement amount in the second direction; The information processing device according to claim 1 .

4. the object is a bridge, the first direction is a bridge axis direction of the bridge, The second direction is a vertical direction. The information processing device according to claim 1 .

5. a data acquisition step of acquiring irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimating step of estimating a displacement amount of the object in a first direction under physical constraint conditions of the object; a residual calculation step of subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data to calculate a residual; a residual transformation step of projecting the calculated residual in a second direction, thereby transforming the residual into a displacement amount of the object in the second direction; An information processing method comprising:

6. the physical constraint is expressed by a constraint equation that defines a relationship between a displacement amount in the first direction and a specific parameter; In the displacement amount estimation step, estimating the specific parameter in the constraint condition equation, and applying the estimated specific parameter to the constraint condition equation to estimate the displacement amount in the first direction; The information processing method according to claim 5 .

7. In the residual calculation step, calculating the residual by applying the estimated displacement amount in the first direction to a projection equation that expresses the displacement amount in the irradiation direction using the displacement amount in the first direction and the displacement amount in the second direction; The information processing method according to claim 5 .

8. the object is a bridge, the first direction is a bridge axis direction of the bridge, The second direction is a vertical direction. The information processing method according to claim 5 .

9. On the computer, a data acquisition step of acquiring irradiation direction displacement data that indicates a displacement amount in the irradiation direction of the target object, the displacement data being generated by irradiation of the target object with radio waves from the flying object; a displacement amount estimating step of estimating a displacement amount of the object in a first direction under physical constraint conditions of the object; a residual calculation step of subtracting a value obtained by projecting the estimated displacement amount in the first direction onto the irradiation direction from the displacement amount indicated by the irradiation direction displacement data to calculate a residual; a residual transformation step of projecting the calculated residual in a second direction, thereby transforming the residual into a displacement amount of the object in the second direction; A program that executes.

10. the physical constraint is expressed by a constraint equation that defines a relationship between a displacement amount in the first direction and a specific parameter; In the displacement amount estimation step, estimating the specific parameter in the constraint condition equation, and applying the estimated specific parameter to the constraint condition equation to estimate the displacement amount in the first direction; The program according to claim 9.

11. In the residual calculation step, calculating the residual by applying the estimated displacement amount in the first direction to a projection equation that expresses the displacement amount in the irradiation direction using the displacement amount in the first direction and the displacement amount in the second direction; The program according to claim 9.

12. the object is a bridge, the first direction is a bridge axis direction of the bridge, The second direction is a vertical direction. The program according to claim 9.