METHOD AND APPARATUS FOR MONITORING SURFACE DEFORMATIONS OF A SCENARIO
20210286071 · 2021-09-16
Assignee
Inventors
Cpc classification
International classification
Abstract
A method for monitoring surface deformations of a scenario by means of differential interferometry technique, said method comprising the steps of prearranging a radar sensor comprising at least one transmitting antenna and a receiving antenna arranged to transmission and acquisition of radar signals, said radar sensor arranged to move along a planar trajectory γ having centre O; defining a reference system S having origin in said centre O; acquiring by SAR technique said scenario by means of handling said radar sensor along said planar trajectory γ, said radar sensor being configured in such a way that the radiation pattern of said antennas is oriented radially with respect to said centre O, said acquisition occurring at points of acquisition s.sub.i arranged on said trajectory γ, obtaining a plurality of data for each point of acquisition s.sub.i; defining a plurality of target points t.sub.i of said scenario, the three-dimensional position of each target point t.sub.i being definable by means of spherical coordinates (ρ.sub.i,θ.sub.i,β.sub.i) referring to said reference system S, being known the values of said coordinates ρ.sub.i and θ.sub.i. The method further comprises a step of three-dimensional determining of said target points t.sub.i by the steps of focusing at a first height of acquisition h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.t predetermined and equal to β.sub.0, focusing at a second height of acquisition h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0, controlling, by means of interferometric technique, said focusings at the height of acquisition h.sub.a1 and h.sub.a2 obtaining a value of said coordinate β.sub.i for each target point. The method further comprises a step of global focusing each target point t.sub.i with respect to its own three-dimensional position definable by said spherical coordinates (ρ.sub.i,θ.sub.i,β.sub.i), obtaining a first focused radar datum, said step of focusing being obtained, for each target point t.sub.i, by analyzing data obtained at each point of acquisition s.sub.i wherein said target point t.sub.i is detectable.
Claims
1. A method for monitoring surface deformations of a scenario by means of differential interferometry technique, said method comprising the steps of: prearranging a radar sensor (110) comprising at least one transmitting antenna (111) and a receiving antenna (112) arranged to transmission and acquisition of radar signals, said radar sensor (110) arranged to move along a planar trajectory γ having centre O; defining a reference system S having origin in said centre O; acquiring by SAR technique said scenario by means of handling said radar sensor (110) along said planar trajectory γ, said radar sensor (110) being configured in such a way that the radiation pattern of said antennas (111,112) is oriented radially with respect to said centre O, said acquisition occurring at points of acquisition s.sub.i arranged on said trajectory γ, obtaining a plurality of data for each point of acquisition s.sub.i; defining a plurality of target points t.sub.i of said scenario, the three-dimensional position of each target point t.sub.i being definable by means of spherical coordinates (ρ.sub.i,θ.sub.i,β.sub.i) referring to said reference system S, being known the values of said coordinates ρ.sub.i and θ.sub.i; said method characterized in that it further comprises a step of three-dimensional determining of said target points t.sub.i by the steps of: focusing at a first height of acquisition h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; focusing at a second height of acquisition h.sub.a1≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; controlling, by means of interferometric technique, said focusings at the height of acquisition h.sub.a1 and h.sub.a2 obtaining a value of said coordinate β.sub.i for each target point; and by that a step is further provided of global focusing each target point t.sub.i with respect to its own three-dimensional position definable by said spherical coordinates (ρ.sub.i,θ.sub.i,β.sub.i), obtaining a first focused radar datum, said step of focusing being obtained, for each target point t.sub.i, by analyzing data obtained at each point of acquisition s.sub.i wherein said target point t.sub.i is detectable.
2. The method for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 1, wherein, downstream of said step of global focusing, is provided a reiteration of said steps of: acquiring by means of SAR technique said scenario; global focusing each target point t.sub.i, obtaining a second focused radar datum; and where a step is then provided of comparing said first and second focused datum by means of differential interferometry technique, in order to monitor the variation of said scenario and to measure its deformation.
3. The method for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 1, wherein downstream of said step of three-dimensional determining of said target points t.sub.i a step is provided of simplifying said plurality of target points t.sub.i of said scenario, said step of simplifying providing the steps of: selecting, in said plurality of target points target points t.sub.i having identical values of θ.sub.i, obtaining a subgroup of said target points t.sub.i; arranging target points t.sub.i in said subgroup for increasing values of ρ.sub.1, obtaining an ordered succession of target points t.sub.i of said subgroup; attributing a same value of β.sub.i to target points t.sub.i of said subgroup selected by means of isotonic regression technique according to said ordered succession.
4. The method for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 1, wherein said step of three-dimensional determining of said target points t.sub.i is made by said radar sensor (110).
5. The method for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 4, wherein said step of three-dimensional determining of said target points t.sub.i is made by at least one transmitting antenna (111) and at least two receiving antennas (112) having heights of location, respectively, h.sub.t1, h.sub.r1, h.sub.r2, with h.sub.r1≠h.sub.r2, said first height of acquisition h.sub.a1 and said second height of acquisition h.sub.a2≠h.sub.a1 being function of said heights of location h.sub.t1, h.sub.r1, h.sub.r2 according to the equations:
6. The method for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 4, wherein said step of three-dimensional determining of said target points t.sub.i is made by at least two transmitting antennas (111) and a receiving antenna (112) having heights of location, respectively, h.sub.t1, h.sub.a, h.sub.r1, with h.sub.t1≠h.sub.t2, said first height of acquisition h.sub.a1 and said second height of acquisition h.sub.a2≠h.sub.a1 being function of said heights of location h.sub.t1, h.sub.t2, h.sub.r1 according to the equations:
7. The method for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 4, wherein said radar sensor (110) comprises two transmitting antennas (111) and two receiving antennas (112) having heights of location, respectively, h.sub.t1, h.sub.t2, h.sub.r1, h.sub.r2, and wherein said step of three-dimensional tracking of said target points t.sub.i furthermore comprises the steps of: focusing at a third height of acquisition h.sub.a3≠h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; focusing at a fourth height of acquisition h.sub.a4≠h.sub.a3≠h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; said heights of acquisition being function of said heights of location h.sub.t1, h.sub.t2, h.sub.r1, h.sub.r2 according to the equations:
8. The method for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 4, wherein said radar sensor (110) comprises a transmitting antenna (111) and four receiving antennas (112) having heights of location, respectively, h.sub.t1, h.sub.r1, h.sub.r2, h.sub.r3, h.sub.r4, with h.sub.r1≠h.sub.r2≠h.sub.r3≠h.sub.r4, and wherein said step of three-dimensional determining of said target points t.sub.i also comprises the steps of: focusing at a third height of acquisition h.sub.a3≠h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; focusing at a fourth height of acquisition h.sub.a4≠h.sub.a3≠h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; said heights of acquisition being function of said heights of location h.sub.t1, h.sub.r1, h.sub.r2, h.sub.r3, h.sub.r4 according to the equations:
9. A method for monitoring surface deformations of a scenario by means of differential interferometry technique, said method comprising the steps of: prearranging a radar sensor (110) comprising at least one transmitting antenna (111) and one receiving antenna (112) arranged to acquisition of radar signals, said radar sensor (110) arranged to move along a planar trajectory γ having centre O; defining a reference system S having origin in said centre O; acquiring by SAR technique said scenario by means of handling said radar sensor (110) along said planar trajectory γ, said radar sensor (110) being configured in such a way that the radiation pattern of said antennas (111,112) is oriented radially with respect to said centre O, said acquisition occurring at points of acquisition s.sub.i arranged on said trajectory γ, obtaining a plurality of data for each point of acquisition s.sub.i; defining a plurality of target points t.sub.i of said scenario, the three-dimensional position of each target point t.sub.i being definable by means of spherical coordinates (ρ.sub.i,θ.sub.i,β.sub.i) referring to said reference system S, being known the values of said coordinates ρ.sub.i and θ.sub.i; said method characterized in that are also provided the steps of: acquiring a three-dimensional mapping of said scenario, said mapping comprising a cloud of highlights p.sub.i arranged to define a three-dimensional surface Σ superimposable to said scenario, each highlight p.sub.i definable by means of spherical coordinates (ρ.sub.k,θ.sub.k,β.sub.k) referring to said reference system S; three-dimensional determining said target points t.sub.i by means of intersection, for each target point between said three-dimensional surface Σ and the locus of points having the coordinates ρ.sub.i and θ.sub.i of said target point t.sub.i, obtaining a value of β.sub.i for each target point t.sub.i; global focusing each target point t.sub.i with respect to its own three-dimensional position definable by said spherical coordinates (ρ.sub.i,θ.sub.i,β.sub.i), said step of focusing being obtained, for each target point by analyzing data obtained at each point of acquisition s.sub.i wherein said target point t.sub.i is detectable.
10. An apparatus (100) for monitoring surface deformations of a scenario by means of differential interferometry technique, said apparatus (100) comprising: a radar sensor (110) comprising at least one transmitting antenna (111) and one receiving antenna (112) arranged to acquisition of radar signals; a kinematical chain (120) arranged to actuate said radar sensor (110) along a planar trajectory γ having centre O for carrying out an acquisition by means of SAR technique of said scenario, said radar sensor (110) being configured in such a way that the radiation pattern of said antennas (111,112) is oriented radially with respect to said centre O, said acquisition occurring at points of acquisition s.sub.i arranged on said trajectory γ, obtaining a plurality of data for each point of acquisition s.sub.i; a control unit arranged to provide the steps of: defining a plurality of target points t.sub.i of said scenario, the three-dimensional position of each target point t.sub.i being definable by means of spherical coordinates (ρ.sub.i,θ.sub.i,β.sub.i) referring to said reference system S, being known the values of said coordinates ρ.sub.i and θ.sub.i, said focusing comprising the steps of: three-dimensional determining said target points t.sub.i by the steps of: focusing at a first height of acquisition h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; focusing at a second height of acquisition h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; controlling said focusings at the heights of acquisition h.sub.a1 and h.sub.a2 obtaining a value of said coordinate β.sub.i for each target point; said apparatus (100) characterized in that said control unit is also arranged for carrying out a step of global focusing each target point t.sub.i with respect to its own three-dimensional position definable by said spherical coordinates (ρ.sub.i,θ.sub.i,β.sub.i), said step of focusing being obtained, for each target point t.sub.i, by analyzing data obtained at each point of acquisition s.sub.i wherein said target point t.sub.i is detectable.
11. The apparatus (100) for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 10, wherein said radar sensor (110) comprises at least one transmitting antenna (111) and at least two receiving antennas (112) having heights of location, respectively, h.sub.t1, h.sub.r1, h.sub.r2, with h.sub.r1≠h.sub.r2, said first height of acquisition h.sub.a1 and said second height of acquisition h.sub.a1≠h.sub.a1 being function of said heights of location h.sub.t1, h.sub.r1, h.sub.r2 according to the equations:
12. The apparatus (100) for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 10, wherein said radar sensor (110) comprises at least two transmitting antennas (111) and a receiving antenna (112) having heights of location, respectively, h.sub.t1, h.sub.t2, h.sub.r1, with h.sub.t1≠h.sub.t2, said first height of acquisition h.sub.a1 and said second height of acquisition h.sub.a2≠h.sub.a1 being function of said heights of location h.sub.t1, h.sub.t2, h.sub.r1 according to the equations:
13. The apparatus (100) for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 10, wherein said radar sensor (110) comprises two transmitting antennas (111) and two receiving antennas (112) having heights of location, respectively, h.sub.t1, h.sub.t2, h.sub.r1, h.sub.r2, and wherein said step of three-dimensional determining of said target points t.sub.i furthermore comprises the steps of: focusing at a third height of acquisition h.sub.a3≠h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; focusing at a fourth height of acquisition h.sub.a4≠h.sub.a3≠h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; said heights of acquisition being function of said heights of location h.sub.t1, h.sub.t2, h.sub.r1, h.sub.r2 according to the equations:
14. The apparatus (100) for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 13, wherein h.sub.t1=h.sub.r1 e h.sub.t2≠h.sub.t1 e h.sub.r2≠h.sub.t2.
15. The apparatus (100) for monitoring surface deformations of a scenario by means of differential interferometry technique, according to claim 10, wherein said radar sensor (110) comprises a transmitting antenna (111) and four receiving antennas (112) having heights of location, respectively, h.sub.t1, h.sub.r1, h.sub.r2, h.sub.r3, h.sub.r4, with h.sub.r1≠h.sub.r2≠h.sub.r3≠h.sub.r4, and wherein said step of three-dimensional determining of said target points t.sub.i also comprises the steps of: focusing at a third height of acquisition h.sub.a3≠h.sub.a2≠ h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; focusing at a fourth height of acquisition h.sub.a4≠h.sub.a3≠h.sub.2≠h.sub.1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0; said heights of acquisition being function of said heights of location h.sub.t1, h.sub.r1, h.sub.r2, h.sub.r3, h.sub.r4 according to the equations:
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0106] Further characteristic and/or advantages of the present invention are more bright with the following description of an exemplary embodiment thereof, exemplifying but not limitative, with reference to the attached drawings in which:
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DESCRIPTION OF SOME PREFERRED EXEMPLARY EMBODIMENTS
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[0117] The method comprise furthermore a step of defining a reference system S having origin in said centre O [302] and a step of acquiring, by SAR technique, the scenario by means of handling the radar sensor 110 along the planar trajectory γ. In particular, the acquisition is carried out at points of acquisition s.sub.i arranged on the trajectory γ, obtaining a plurality of data for each point of acquisition s.sub.i [303].
[0118] A step is then provided of defining a plurality of target points t.sub.i of the scenario. The three-dimensional position of each target point t.sub.i is definable by means of spherical coordinates ρ.sub.i,θ.sub.b,β.sub.i referring to the reference system S, wherein are known the values of the coordinates ρ.sub.i and θ.sub.i [304].
[0119] The method then provides a step of three-dimensional determining the target points t.sub.i, by means of: [0120] focusing at a first height of acquisition h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0 [305]; [0121] focusing at a second height of acquisition h.sub.a2≠h.sub.a1 each target point t.sub.i with respect to its own position considering a value of β.sub.i predetermined and equal to β.sub.0 [306]; [0122] controlling the above described focusings at the height of acquisition h.sub.a1 and h.sub.a2 obtaining a value of the coordinate β.sub.i for each target point [307].
[0123] A step is furthermore provided of global focusing each target point t.sub.i with respect to its own three-dimensional position definable by the spherical coordinates ρ.sub.i,θ.sub.i,β.sub.i. In particular, this step of focusing is obtained, for each target point t.sub.i, by analyzing data obtained at each point of acquisition s.sub.i where the target point t.sub.i is detectable [308].
[0124] In
[0125] In particular, the step [401] provides the acquisition of a three-dimensional mapping of the scenario from the outside. The mapping comprises a cloud of highlights p.sub.i arranged to define a three-dimensional surface superimposable to the scenario, each highlight p.sub.i definable by means of spherical coordinates ρ.sub.k,θ.sub.k,β.sub.k referring to the reference system S.
[0126] The step [402] provides instead the three-dimensional determining of the target points t.sub.i by means of intersection, for each target point t.sub.i, between the three-dimensional surface Σ and the locus of points having the coordinates ρ.sub.i and θ.sub.i of the target point t.sub.i itself, obtaining a value of β.sub.i for each target point t.sub.i.
[0127] This way, the step of three-dimensional determining the target points t.sub.i is simplified, but at a same time, is dependent to an external acquisition, that is not always available. The exemplary embodiment of
[0128] In
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[0130] In general, the difference between two acquisition heights h.sub.a1 e h.sub.a2, also called baselines (B=|h.sub.a1−h.sub.a2∥) is chosen so as to avoid phase ambiguity in determining the height of the target with respect to the rotation plane by means of the use of the interferometric technique between acquisitions made at different heights. The condition to be respected to avoid phase ambiguity is the following:
[0131] where λ is the wavelength of the radar signal, R.sub.min is the minimum distance between radar and the target/measurement area and ΔZ.sub.max the maximum elevation in the measurement area.
[0132] On the other hand, with the same accuracy σ.sub.φ in the measurement of the interferometric phase φ the greater the baseline the better the accuracy σ.sub.z n the measure of the height Z, since:
[0133] where R is the distance from the radar.
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[0136] For the sake of clarity, in
[0137] As can be seen, by appropriately differentiating the positioning heights of the antennas, it is possible to provide up to four different heights of acquisition h.sub.a4≠h.sub.a3≠h.sub.a2≠h.sub.a1, and such heights of acquisition may vary in value both changing the values of the positioning heights of the antennas both changing the dependence of each height of acquisition by the positioning heights. Even maintaining constant the positioning heights, it is therefore possible to change the height of acquisition combining differently the positioning heights itself.
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[0139] Also in this case, as shown by way of example in
[0140] The foregoing description some exemplary specific embodiments will so fully reveal the invention according to the conceptual point of view, so that others, by applying current knowledge, will be able to modify and/or adapt in various applications the specific exemplary embodiments without further research and without parting from the invention, and, accordingly, it is meant that such adaptations and modifications will have to be considered as equivalent to the specific embodiments. The means and the materials to realise the different functions described herein could have a different nature without, for this reason, departing from the field of the invention. it is to be understood that the phraseology or terminology that is employed herein is for the purpose of description and not of limitation.