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CN115267776A - Multi-baseline phase unwrapping method considering robust Chinese remainder theorem of branch tangent lines - Google Patents

Multi-baseline phase unwrapping method considering robust Chinese remainder theorem of branch tangent lines Download PDF

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CN115267776A
CN115267776A CN202210871213.6A CN202210871213A CN115267776A CN 115267776 A CN115267776 A CN 115267776A CN 202210871213 A CN202210871213 A CN 202210871213A CN 115267776 A CN115267776 A CN 115267776A
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CN115267776B (en
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王启贵
周明
毛永生
王毅
陈兴红
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Zhejiang Huadong Mapping And Engineering Safety Technology Co ltd
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Abstract

本发明公开了一种顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,所述方法包括以下步骤:针对同一感兴趣区域生成多基线InSAR相位干涉图;采用枝切法对所述干涉图设置枝切线,并采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位;针对枝切线分布区域生成局部范围内的枝切线,并再次采用中国余数定理进行解缠;将大范围区域的相位解缠信息及局部区域结合获得最终相位解缠信息。本方案利用枝切线及自适应矩形框提取噪声强的区域,利用相关的滤波算法减弱噪声对干涉相位信息的干扰,利用两次中国余数定理算法分别解缠噪声信息弱的大面积区域及噪声信息强的局部区域,拼接其解缠的相位信息实现抗噪的多基线相位解缠算法。

Figure 202210871213

The invention discloses a multi-baseline phase unwrapping method considering the robust Chinese remainder theorem of branch and tangent lines. The method includes the following steps: generating a multi-baseline InSAR phase interferogram for the same region of interest; The interferogram sets the branch tangent, and adopts the Chinese remainder theorem to avoid the branch tangent and takes an appropriate approach to obtain the large-scale unwrapped phase; for the branch tangent distribution area, the branch tangent in a local range is generated, and the Chinese remainder theorem is used again for unwrapping. ; Combine the phase unwrapping information of a large area with a local area to obtain the final phase unwrapping information. This scheme uses branch tangents and adaptive rectangular frames to extract areas with strong noise, uses related filtering algorithms to reduce the interference of noise on interference phase information, and uses two Chinese remainder theorem algorithms to disentangle large areas with weak noise information and noise information respectively. Strong local area, splicing its unwrapped phase information to achieve anti-noise multi-baseline phase unwrapping algorithm.

Figure 202210871213

Description

一种顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法A Multi-Baseline Phase Unwrapping Method Considering the Robust Chinese Remainder Theorem of Branch Tangents

技术领域technical field

本发明涉及一种基顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,属于微波遥感测量技术领域,主要是应用在多基线、高精度的相位信息解缠及数字高程模型重建领域。The invention relates to a multi-baseline phase unwrapping method based on the robust Chinese remainder theorem considering branch tangents, which belongs to the field of microwave remote sensing measurement technology, and is mainly applied in the field of multi-baseline, high-precision phase information unwrapping and digital elevation model reconstruction .

背景技术Background technique

为了获取难以人工量测的陡峭、起伏地段的高程信息,合成孔径雷达干涉测量技术(InSAR)以信号处理及影像处理结合的形式实现了无需现场量测,就可获取地形测绘的数字高程模型(DEM),这是一项发展迅速的雷达微波遥感测量的现代新型测量技术之一。同时凭借其成像全天候,全天时,穿透力强的工作特点,为数字影像的处理提供了技术支持和技术手段。目前该测量手段为山区测绘、环境监测、地质勘探和气候分析等提供了数据支持及流程化管理,为其进一步硏究有着重要价值。In order to obtain the elevation information of the steep and undulating areas that are difficult to measure manually, the Synthetic Aperture Radar Interferometry (InSAR) technology combines signal processing and image processing to achieve digital elevation models for terrain surveying and mapping without on-site measurement ( DEM), which is one of the modern new measurement techniques of radar microwave remote sensing measurement, which is developing rapidly. At the same time, with its all-weather, all-day, penetrating working characteristics, it provides technical support and technical means for digital image processing. At present, this measurement method provides data support and process management for mountain surveying and mapping, environmental monitoring, geological exploration and climate analysis, and is of great value for further research.

相位解缠技术一直是合成孔径雷达干涉测量技术中的关键。针对反演高程信息中的相位解缠技术,其解缠算法的性能好坏直接关系到高程信息的精确度和准确度。相位解缠在近几十年的研究进程中,已经发展为一门独特且多学科交融的技术,尤其随着深度学习算法的发展,对传统算法的改进和新算法的提出必然成为相位解缠技术新型趋势。Phase unwrapping technology has always been the key in synthetic aperture radar interferometry technology. For the phase unwrapping technology in the inversion of elevation information, the performance of the unwrapping algorithm is directly related to the accuracy and accuracy of the elevation information. Phase unwrapping has developed into a unique and multidisciplinary technology during the research process in recent decades. Especially with the development of deep learning algorithms, the improvement of traditional algorithms and the proposal of new algorithms will inevitably become phase unwrapping technology. New trends in technology.

目前相位解缠的方法以基线的条数划分主要有单基线相位解缠算法和位移多基线相位解缠算法。单基线相位解缠算法由于受限于相位连续性的假设,例如枝切法,虽然设置了枝切线,有效的避开了含残差点的区域,但对相位欠采样区域的解缠效果不佳,多基线相位解缠算法通过引入多张相位干涉图求解缠绕相位微分的模糊数,并广泛应用于相位不连续的复杂地形,例如中国余数定理,借助求解同余方程组的形式精确同时求解多幅干涉图对应单一点位的模糊数,有较高的精确度,但其受噪声干扰程度大,其噪声鲁棒性差的特点使其不能在实测数据中大规模使用。At present, the methods of phase unwrapping mainly include single-baseline phase unwrapping algorithm and shifted multi-baseline phase unwrapping algorithm based on the number of baselines. The single-baseline phase unwrapping algorithm is limited by the assumption of phase continuity, such as the branch cut method. Although the branch tangent line is set, the area containing residual points is effectively avoided, but the unwrapping effect on the phase undersampled area is not good. , the multi-baseline phase unwrapping algorithm solves the fuzzy numbers of phase differentials by introducing multiple phase interferograms, and is widely used in complex terrains with discontinuous phases, such as the Chinese remainder theorem, which can accurately and simultaneously solve multiple The fuzzy number corresponding to a single point of the interferogram has high accuracy, but it is greatly disturbed by noise, and its noise robustness is poor, so it cannot be used on a large scale in the measured data.

基于这两种方法的特点,可以借助枝切法设置有效的途径,将路径其扩展中国余数定理相位解缠中,解缠大范围区域的受噪声程度小的相位模糊数,再采用自适应矩形框的方式提取受噪声信息较大的点位,对其采用滤波的形式,再次利用中国余数定理解缠算法处理该区域的相位模糊数,最后拼接大范围区域及各个矩形框区域的解缠相位。Based on the characteristics of these two methods, it is possible to use the branch-cut method to set up an effective way to unwrap the phase ambiguous numbers with a small degree of noise in a large area in the phase unwrapping of the path and its extension of the Chinese remainder theorem, and then use the adaptive rectangular Extract the points with large noise information by means of frames, filter them, and use the Chinese remainder theorem unwrapping algorithm to process the phase fuzzy numbers in this area, and finally splicing the unwrapped phases of large-scale areas and each rectangular frame area .

发明内容Contents of the invention

本发明是为了克服现有技术中的相位解缠的方法,单基线枝切法算法对相位突变解缠存在孤岛现象以及多基线中国余数定理算法抗噪性弱的缺点,提供一种顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,采用单基线相位解缠算法结合多基线相位解缠方法的技术,既解决了孤岛区域难以解缠的难题,又增强了算法的噪声鲁棒性。The present invention aims to overcome the shortcomings of the phase unwrapping method in the prior art, the single-baseline branch-cut method algorithm has an island phenomenon for phase mutation unwrapping, and the multi-baseline Chinese remainder theorem algorithm has weak anti-noise, and provides a method that takes into account the branch-cut line The multi-baseline phase unwrapping method based on the robust Chinese remainder theorem adopts the single-baseline phase unwrapping algorithm combined with the multi-baseline phase unwrapping method, which not only solves the problem of difficult unwrapping in the island area, but also enhances the noise robustness of the algorithm sex.

为实现上述目的,本发明采用以下技术方案:To achieve the above object, the present invention adopts the following technical solutions:

本发明的一种顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,所述方法包括以下步骤:A kind of multi-baseline phase unwrapping method of the robust Chinese remainder theorem considering branch tangents of the present invention, said method comprises the following steps:

针对同一感兴趣区域生成多基线InSAR相位干涉图;Generate multi-baseline InSAR phase interferograms for the same region of interest;

采用枝切法对所述干涉图设置枝切线,并采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位;Using the branch cutting method to set the branch tangent line on the interferogram, and adopting the Chinese remainder theorem to avoid the branch tangent line and adopting a suitable way to obtain the large-scale unwrapped phase;

针对干涉图中的枝切线分布区域,采用枝切法生成局部范围内的枝切线,并再次采用中国余数定理进行解缠,获得局部区域的解缠信息;For the branch tangent distribution area in the interferogram, the branch tangent method is used to generate the branch tangent in the local range, and the Chinese remainder theorem is used to unwrap to obtain the unwrapping information of the local area;

将大范围区域的相位解缠信息及局部区域的解缠信息结合,获得干涉图全部点位的相位解缠信息。The phase unwrapping information of the large-scale area and the unwrapping information of the local area are combined to obtain the phase unwrapping information of all points in the interferogram.

作为优选,所述针对同一感兴趣区域生成多基线InSAR相位干涉图,进一步包括:As preferably, said generating multi-baseline InSAR phase interferogram for the same region of interest further includes:

步骤1,获取针对同一区域的多幅多基线SAR影像,选择一幅主影像及多幅辅影像;Step 1, obtain multiple multi-baseline SAR images for the same area, select a main image and multiple auxiliary images;

步骤2,所述主影像与辅影像逐一进行差分干涉处理,并按基线的长度排列,生成多幅待解缠的多基线InSAR相位干涉图。In step 2, the main image and the auxiliary image are subjected to differential interference processing one by one, and arranged according to the length of the baseline to generate multiple multi-baseline InSAR phase interferograms to be unwrapped.

作为优选,所述的采用枝切法对所述干涉图设置枝切线,并采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位,进一步包括:As a preference, the described adopting the branch cutting method to set the branch tangent line on the interferogram, and adopting the Chinese remainder theorem to avoid the branch tangent line and adopting a suitable way to obtain the large-scale unwrapped phase further includes:

步骤3,采用枝切法对所述的干涉图预处理,生成枝切线;Step 3, using the branch cut method to preprocess the interferogram to generate branch cut lines;

步骤4,根据所述的多幅干涉图建立多基线InSAR几何模型,根据多基线InSAR几何模型搭建中国余数定理数学模型;Step 4, establish a multi-baseline InSAR geometric model according to the multiple interferograms, and build a Chinese remainder theorem mathematical model according to the multi-baseline InSAR geometric model;

步骤5,根据预处理的枝切线分布,避开枝切线采用合理的途径,使用中国余数定理对干涉图解缠,获得大范围区域的相位解缠信息。Step 5, according to the preprocessed distribution of branch tangents, avoid branch tangents and adopt a reasonable approach, use the Chinese remainder theorem to unwrap the interferogram, and obtain phase unwrapping information in a large area.

作为优选,所述的针对干涉图中的枝切线分布区域,采用枝切法生成局部范围内的枝切线,并再次采用中国余数定理进行解缠,获得局部区域的解缠信息,进一步包括:As a preference, for the branch tangent distribution area in the interferogram, the branch tangent method is used to generate the branch tangent in the local range, and the Chinese remainder theorem is used to unwrap to obtain the unwrapping information of the local area, further comprising:

步骤6:针对干涉图中的枝切线分布区域采用自适应矩形框逐一提取;Step 6: Extract one by one with an adaptive rectangular frame for the branch tangent distribution area in the interferogram;

步骤7:对框内的干涉相位采用枝切法重新选取展开点,生成局部范围内的枝切线;Step 7: Use the branch cutting method to reselect the expansion point for the interference phase in the frame, and generate the branch tangent line in the local range;

步骤8:对局部范围内的枝切线上点的相位信息进行滤波处理;Step 8: Filtering the phase information of the points on the branch tangent line in the local range;

步骤9:对矩形框内滤波处理后的干涉相位再次使用中国余数定理进行解缠,获得局部区域的解缠信息。Step 9: Unwrap the interferometric phase after filtering in the rectangular frame using the Chinese remainder theorem again to obtain the unwrapped information of the local area.

作为优选,所述步骤4,进一步包括:As preferably, said step 4 further includes:

对于多基线InSAR系统几何模型的参数表达式如下:The parameter expressions of the multi-baseline InSAR system geometric model are as follows:

Figure BDA0003761418860000041
Figure BDA0003761418860000041

式中,h表示高差,λ表示波长,θ表示侧视角,α表示基线水平角,Bi表示不同的基线长度,R表示相位中心相对于目标点的斜距,ki表示不同点位干涉相位的模糊数。In the formula, h represents the height difference, λ represents the wavelength, θ represents the side viewing angle, α represents the horizontal angle of the baseline, B i represents different baseline lengths, R represents the oblique distance between the phase center and the target point, and ki represents the interference of different points A fuzzy number for the phase.

若设置B0=[B1,B2,…,Bn],其中,[]代表求解最小公倍数,同时设定模长mi=B0/Bi,干涉相位可以用高差表示:If you set B 0 =[B 1 ,B 2 ,…,B n ], where [] means to find the least common multiple, and set the modulus length m i =B 0 /B i , the interferometric phase can be expressed by height difference:

Figure BDA0003761418860000042
Figure BDA0003761418860000042

若设置

Figure BDA0003761418860000043
则不同基线下干涉图中对应于各个点位干涉相位的所要求解的模糊数满足以下等式:If set
Figure BDA0003761418860000043
Then the fuzzy numbers to be solved corresponding to the interferometric phase of each point in the interferogram under different baselines satisfy the following equation:

T=wi+ki·mi T=w i +k i m i

对应于N组基线所形成的N幅干涉图,每个相对应的点位由N组等式组成,且每组等式中,mi是确定的,wi不同,T相同,根据数学理论,即构建了同余方程组,最终所要获取的值模糊数ki是求解中国余数定理数学模型的过程。Corresponding to N interferograms formed by N sets of baselines, each corresponding point is composed of N sets of equations, and in each set of equations, m i is determined, w i is different, and T is the same. According to mathematical theory , that is, the congruence equations are constructed, and the final fuzzy number ki to be obtained is the process of solving the mathematical model of the Chinese remainder theorem.

作为优选,所述步骤5,进一步包括:根据预处理的枝切线分布,对于枝切线衍生较多的地形突变区域,采用中国余数定理对干涉图解缠,获得大范围区域的相位解缠信息。Preferably, the step 5 further includes: according to the pre-processed distribution of branch tangents, for areas with abrupt changes in terrain derived from many branch tangents, unwrapping the interferogram by using the Chinese remainder theorem to obtain phase unwrapping information for a wide range of areas.

作为优选,所述步骤6中,干涉图的尺寸为M×N,矩形框的尺寸为u×v,所述自适应矩形框的尺寸满足公式:Preferably, in the step 6, the size of the interferogram is M×N, the size of the rectangular frame is u×v, and the size of the adaptive rectangular frame satisfies the formula:

u=Floor[0.1×M+Ω]u=Floor[0.1×M+Ω]

v=Floor[0.1×N+Ω]v=Floor[0.1×N+Ω]

其中,Ω为干涉图的信噪比。where Ω is the signal-to-noise ratio of the interferogram.

作为优选,所述步骤8中的滤波处理采用中值滤波处理。Preferably, the filtering process in step 8 adopts a median filtering process.

本发明提供的一种单基线相位解缠算法结合多基线相位解缠方法,考虑了枝切法孤岛现象的受限性及中国余数定理算法的抗噪能力弱,利用枝切线及自适应矩形框提取噪声强的区域,利用相关的滤波算法减弱噪声对干涉相位信息的干扰,利用两次中国余数定理算法分别解缠噪声信息弱的大面积区域及噪声信息强的局部区域,拼接其解缠的相位信息实现抗噪的多基线相位解缠算法。A single-baseline phase unwrapping algorithm combined with a multi-baseline phase unwrapping method provided by the present invention takes into account the limitations of the islanding phenomenon of the branch-cut method and the weak anti-noise ability of the Chinese remainder theorem algorithm, and uses the branch-cut line and self-adaptive rectangular frame Extract the area with strong noise, use the relevant filtering algorithm to reduce the interference of noise on the interferometric phase information, use the Chinese remainder theorem algorithm twice to unwrap the large area area with weak noise information and the local area with strong noise information, and splicing the unwrapped results The phase information implements a noise-resistant multi-baseline phase unwrapping algorithm.

附图说明Description of drawings

图1是本申请实施例三待解缠的干涉图差分处理。Fig. 1 is the differential processing of the interferogram to be unwrapped in the third embodiment of the present application.

图2是本申请实施例三多基线InSAR几何模型。Fig. 2 is the multi-baseline InSAR geometric model of the third embodiment of the present application.

图3是本申请实施例三中对应美国Isolation Peak国家公园真实DEM数据三维及二维参考图。Fig. 3 is a three-dimensional and two-dimensional reference map corresponding to the real DEM data of the Isolation Peak National Park in the United States in the third embodiment of the present application.

图4是本申请实施例三三条基线所对应的差分干涉图,其中按基线的长度排序。Fig. 4 is the differential interferogram corresponding to the third and third baselines in the embodiment of the present application, in which the baselines are sorted according to the length of the baselines.

图5是本申请实施例三的流程图。FIG. 5 is a flow chart of Embodiment 3 of the present application.

图6是本申请实施例三对三幅干涉图采用枝切法处理全局范围所搜索的残差点。FIG. 6 shows the searched residual points for the three interferograms in the third embodiment of the present application using the branch cutting method to process the global scope.

图7是本申请实施例三对三幅干涉图采用枝切法处理全局范围所形成的枝切线。Fig. 7 is the branch cut line formed by processing the global range with the branch cut method for the three interferograms according to the third embodiment of the present application.

图8是本申请实施例三采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位。Fig. 8 is the phase of the large-scale unwrapping obtained by using the Chinese remainder theorem to avoid branch tangents and adopting a suitable method in the third embodiment of the present application.

图9是本申请实施例三采用枝切法对处理任意一处欠采样区域在矩形框内形成的局部枝切线。FIG. 9 is a partial branch tangent line formed in a rectangular frame by using the branch cut method to process any undersampled region in Embodiment 3 of the present application.

图10是本申请实施例三将所有矩形框内相位信息中值滤波之后再次采用中国余数定理所整合的解缠相位。FIG. 10 shows the unwrapped phase integrated by using the Chinese remainder theorem again after median filtering of all the phase information in the rectangular frame according to Embodiment 3 of the present application.

图11是本申请实施例三将大范围解缠相位及局部区域所拼接的整幅影像的解缠相位。FIG. 11 is the unwrapped phase of the whole image stitched together with the large-scale unwrapped phase and the local area in the third embodiment of the present application.

图12是本申请实施例三获取的解缠相位同参考相位作差的误差分布图。FIG. 12 is an error distribution diagram of the difference between the unwrapped phase and the reference phase obtained in Embodiment 3 of the present application.

图13是本申请实施例三获取的解缠相位同参考相位作差的误差直方图。FIG. 13 is an error histogram of the difference between the unwrapped phase and the reference phase obtained in Embodiment 3 of the present application.

具体实施方式Detailed ways

下面结合附图和具体实施方式对本发明做进一步描述。The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

实施例一Embodiment one

如图1所示,本发明的一种顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,所述方法包括以下步骤:As shown in Figure 1, a kind of multi-baseline phase unwrapping method of the robust Chinese remainder theorem of branch tangents of the present invention, said method comprises the following steps:

步骤S1,针对同一感兴趣区域生成多基线InSAR相位干涉图。Step S1, generate multi-baseline InSAR phase interferograms for the same region of interest.

步骤S2,采用枝切法对所述干涉图设置枝切线,并采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位。Step S2, using the branch cutting method to set branch tangents for the interferogram, and using the Chinese remainder theorem to avoid the branch tangents and obtain the large-scale unwrapped phases in a suitable way.

步骤S3,针对干涉图中的枝切线分布区域,采用枝切法生成局部范围内的枝切线,并再次采用中国余数定理进行解缠,获得局部区域的解缠信息。Step S3, for the distribution area of the branch tangents in the interferogram, use the branch cutting method to generate the branch tangents in the local range, and use the Chinese remainder theorem to unwrap again to obtain the unwrapping information of the local area.

步骤S4,将大范围区域的相位解缠信息及局部区域的解缠信息结合,获得干涉图全部点位的相位解缠信息。Step S4, combining the phase unwrapping information of the large-scale area and the unwrapping information of the local area to obtain the phase unwrapping information of all points in the interferogram.

本方案考虑了枝切法孤岛现象的受限性及中国余数定理算法的抗噪能力弱,利用枝切线及自适应矩形框提取噪声强的区域,利用相关的滤波算法减弱噪声对干涉相位信息的干扰,利用两次中国余数定理算法分别解缠噪声信息弱的大面积区域及噪声信息强的局部区域,拼接其解缠的相位信息实现抗噪的多基线相位解缠算法。This scheme considers the limitations of the island phenomenon of the branch-cut method and the weak anti-noise ability of the Chinese remainder theorem algorithm, uses the branch tangent line and the adaptive rectangular frame to extract the area with strong noise, and uses the relevant filtering algorithm to weaken the influence of noise on the interferometric phase information Interference, use the Chinese remainder theorem algorithm twice to unwrap the large-area area with weak noise information and the local area with strong noise information, and splice the unwrapped phase information to realize the anti-noise multi-baseline phase unwrapping algorithm.

实施例二Embodiment two

本实施例是在实施例一基础上的优化方案,本实施例中分别对实施例一的步骤S1、S2、S3、S4进行了进一步扩展This embodiment is an optimization scheme based on the first embodiment. In this embodiment, the steps S1, S2, S3, and S4 of the first embodiment are further expanded.

步骤S1具体进一步包括以下步骤:Step S1 specifically further includes the following steps:

步骤1,获取针对同一区域的多幅多基线SAR影像,选择一幅主影像及多幅辅影像。Step 1. Acquire multiple multi-baseline SAR images for the same area, and select a main image and multiple auxiliary images.

步骤2,所述主影像与辅影像逐一进行差分干涉处理,并按基线的长度排列,生成多幅待解缠的多基线InSAR相位干涉图。In step 2, the main image and the auxiliary image are subjected to differential interference processing one by one, and arranged according to the length of the baseline to generate multiple multi-baseline InSAR phase interferograms to be unwrapped.

步骤S2具体进一步包括以下步骤:Step S2 specifically further includes the following steps:

步骤3,采用枝切法对所述的干涉图预处理,生成枝切线。Step 3, using the branch cutting method to preprocess the interferogram to generate branch cutting lines.

步骤4,根据所述的多幅干涉图建立多基线InSAR几何模型,根据多基线InSAR几何模型搭建中国余数定理数学模型;Step 4, establish a multi-baseline InSAR geometric model according to the multiple interferograms, and build a Chinese remainder theorem mathematical model according to the multi-baseline InSAR geometric model;

步骤5,根据预处理的枝切线分布,避开枝切线采用合理的途径,使用中国余数定理对干涉图解缠,获得大范围区域的相位解缠信息。Step 5, according to the preprocessed distribution of branch tangents, avoid branch tangents and adopt a reasonable approach, use the Chinese remainder theorem to unwrap the interferogram, and obtain phase unwrapping information in a large area.

具体的,所述步骤3采用枝切法生成枝切线涉及到二维相位解缠理论及残差点。Specifically, the step 3 using the branch cutting method to generate branch tangent lines involves two-dimensional phase unwrapping theory and residual points.

首先,二维相位解缠是针对M×N大小的矩形空间而言的,其中,选取一个空间内的点作为起点向不同的方向展开相位,则二维的相位解缠路径分为水平向和垂直向,其中,设定起点位置的干涉相位φ与解缠相位

Figure BDA0003761418860000071
存在以下关系:First of all, the two-dimensional phase unwrapping is for the rectangular space of M×N size, where a point in a space is selected as the starting point to expand the phase in different directions, then the two-dimensional phase unwrapping path is divided into horizontal and Vertical direction, where the interferometric phase φ and the unwrapping phase of the starting point are set
Figure BDA0003761418860000071
The following relationship exists:

Figure BDA0003761418860000072
Figure BDA0003761418860000072

其中,定义W[φ(i,j)]为相位缠绕函数,而上述提及的路径中,对于水平向及垂直向的相位梯度,可以定义为:Among them, W[φ(i,j)] is defined as the phase winding function, and in the path mentioned above, the phase gradients in the horizontal and vertical directions can be defined as:

iφ(i,j)=φ(i,j)-φ(i-1,j) (2)i φ(i,j)=φ(i,j)-φ(i-1,j) (2)

jφ(i,j)=φ(i,j)-φ(i,j-1) (3)j φ(i,j)=φ(i,j)-φ(i,j-1) (3)

根据路径的不同,利用相位缠绕函数,对相邻像元垂直向和水平向做缠绕相位梯度:According to the different paths, use the phase wrapping function to wrap the phase gradients in the vertical and horizontal directions of adjacent pixels:

iW[φ(i,j)]=△iφ(i,j)+2π△ik(i,j) (5)i W[φ(i,j)]=△ i φ(i,j)+2π△ i k(i,j) (5)

jW[φ(i,j)]=△jφ(i,j)+2π△jk(i,j) (6)j W[φ(i,j)]=△ j φ(i,j)+2π△ j k(i,j) (6)

对上述不同方位的缠绕相位梯度再次利用相位缠绕函数,可以得到相邻像元垂直向和水平向做缠绕相位:Using the phase wrapping function again for the above wrapping phase gradients in different orientations, the vertical and horizontal wrapping phases of adjacent pixels can be obtained:

W2[△iW1[φ(i,j)]=△iφ(i,j)+2π[△ik1(i,j)+△ik2(i,j)] (7)W 2 [△ i W 1 [φ(i,j)]=△ i φ(i,j)+2π[△ i k 1 (i,j)+△ i k 2 (i,j)] (7)

W3[△jW1[φ(i,j)]=△jφ(i,j)+2π[△jk3(i,j)+△jk4(i,j)] (8)W 3 [△ j W 1 [φ(i,j)]=△ j φ(i,j)+2π[△ j k 3 (i,j)+△ j k 4 (i,j)] (8)

要保障缠绕相位在-π到π之间,式中对应的各个参数要满足以下关系式:To ensure that the winding phase is between -π and π, the corresponding parameters in the formula must satisfy the following relationship:

π≤△iφ(i,j)<π (9)π≤△ i φ(i,j)<π (9)

π≤△jφ(i,j)<π (10)π≤△ j φ(i,j)<π (10)

ik1(i,j)+△ik2(i,j)=0 (11)i k 1 (i, j) + △ i k 2 (i, j) = 0 (11)

jk3(i,j)+△jk4(i,j)=0 (12)j k 3 (i, j) + △ j k 4 (i, j) = 0 (12)

接下来,将会采取可靠的路径积分来实现解缠,先垂直向积分再水平向积分,先水平向积分再垂直向积分。Next, reliable path integration will be adopted to achieve unwrapping, first vertical integration and then horizontal integration, first horizontal integration and then vertical integration.

先垂直向积分再水平向积分:Integrate vertically and then horizontally:

首先进行垂直方向的首列进行像元解缠处理:First, the first column in the vertical direction is unwrapped:

Figure BDA0003761418860000081
Figure BDA0003761418860000081

将首列的像元解缠之后,作为新的起始列,此时每一列依次对前一列进行水平向梯度积分处理,j列处理完毕则完成解缠过程After the pixels in the first column are unwrapped, it is used as a new starting column. At this time, each column performs horizontal gradient integration processing on the previous column in turn. After j columns are processed, the unwrapping process is completed.

Figure BDA0003761418860000082
Figure BDA0003761418860000082

先水平向积分再垂直向积分:Integrate first horizontally and then vertically:

首先进行水平方向的首列进行像元解缠处理:Firstly, the first column in the horizontal direction is processed for pixel unwrapping:

Figure BDA0003761418860000083
Figure BDA0003761418860000083

将首行的像元解缠之后,作为新的起始行,此时每一行依次对前一行进行水平向梯度积分处理,i行处理完毕则完成解缠过程After the pixels in the first row are unwrapped, it is used as a new starting row. At this time, each row performs horizontal gradient integration processing on the previous row in turn, and the unwrapping process is completed after the i row is processed.

Figure BDA0003761418860000091
Figure BDA0003761418860000091

理想情况下,规定为相位连续的情形,根据上述两种路径积分的任意一种途径,就可从一点缠绕相位扩展到整幅影像的真实相位,但实际情况中,有噪声的存在,则路径的选取就会产生偏差,甚至会将点位误差积累,扩展为更大区间的误差。Ideally, if the phase is defined as continuous, according to any one of the above two path integration methods, the winding phase at one point can be extended to the real phase of the whole image, but in reality, if there is noise, the path The selection will produce deviations, and even accumulate point errors and expand them into larger interval errors.

基于上述情况,需要引入残差点的概念,即通过求解相邻像元各个方位梯度的方式判定相位连续性:Based on the above situation, it is necessary to introduce the concept of residual point, that is, to determine the phase continuity by solving the gradient of each azimuth of adjacent pixels:

1=φ(i+1,j)-φ(i,j) (17)1 = φ(i+1,j)-φ(i,j) (17)

2=φ(i+1,j+1)-φ(i+1,j) (18)2 =φ(i+1,j+1)-φ(i+1,j) (18)

3=φ(i,j+1)-φ(i+1,j+1) (19)3 =φ(i,j+1)-φ(i+1,j+1) (19)

4=φ(i,j)-φ(i,j+1) (20)4 =φ(i,j)-φ(i,j+1) (20)

将求解的各个方位梯度求和即为残差:The sum of all azimuth gradients solved is the residual:

Figure BDA0003761418860000092
Figure BDA0003761418860000092

利用求解的残差判定相位信息的连续性,即:T=0,该点判定为相位连续点,T≠0,该点判定为残差点,通常定义为:T>0,该点判定为正残差点,T<0,该点判定为负残差点。The continuity of the phase information is judged by the residual of the solution, that is: T=0, the point is judged as a phase continuous point, T≠0, the point is judged as a residual point, usually defined as: T>0, the point is judged as positive Residual point, T<0, this point is judged as a negative residual point.

残差点的引入对路径跟踪算法有着引导作用,尤其对于单基线解缠算法保证了大范围区域内相位连续性的假设。The introduction of residual points has a guiding effect on the path tracking algorithm, especially for the single baseline unwrapping algorithm, which guarantees the assumption of phase continuity in a large area.

具体的,所述步骤4,进一步包括:Specifically, the step 4 further includes:

对于多基线InSAR系统几何模型的参数表达式如下:The parameter expressions of the multi-baseline InSAR system geometric model are as follows:

Figure BDA0003761418860000093
Figure BDA0003761418860000093

式中,h表示高差,λ表示波长,θ表示侧视角,α表示基线水平角,Bi表示不同的基线长度,R表示相位中心相对于目标点的斜距,ki表示不同点位干涉相位的模糊数。In the formula, h represents the height difference, λ represents the wavelength, θ represents the side viewing angle, α represents the horizontal angle of the baseline, B i represents different baseline lengths, R represents the oblique distance between the phase center and the target point, and ki represents the interference of different points A fuzzy number for the phase.

若设置B0=[B1,B2,…,Bn],其中,[]代表求解最小公倍数,同时设定模长mi=B0/Bi,干涉相位可以用高差表示:If B 0 =[B 1 ,B 2 ,…,B n ] is set, where [] means to find the least common multiple, and the modulus length m i =B 0 /B i is set at the same time, the interferometric phase can be expressed by height difference:

Figure BDA0003761418860000101
Figure BDA0003761418860000101

若设置

Figure BDA0003761418860000102
则不同基线下干涉图中对应于各个点位干涉相位的所要求解的模糊数满足以下等式:If set
Figure BDA0003761418860000102
Then the fuzzy numbers to be solved corresponding to the interferometric phase of each point in the interferogram under different baselines satisfy the following equation:

T=wi+ki·mi (24)T=w i +k i m i (24)

对应于N组基线所形成的N幅干涉图,每个相对应的点位由N组等式组成,且每组等式中,mi是确定的,wi不同,T相同,根据数学理论,即构建了同余方程组,最终所要获取的值模糊数ki是求解中国余数定理数学模型的过程。Corresponding to N interferograms formed by N groups of baselines, each corresponding point is composed of N groups of equations, and in each group of equations, m i is determined, w i is different, and T is the same. According to mathematical theory , that is, the congruence equations are constructed, and the final fuzzy number ki to be obtained is the process of solving the mathematical model of the Chinese remainder theorem.

具体的,所述步骤5进一步包括,根据预处理的枝切线分布,对于枝切线衍生较多的地形突变区域,采用中国余数定理对干涉图解缠,获得大范围区域的相位解缠信息。Specifically, the step 5 further includes, according to the preprocessed distribution of branch tangents, for areas with abrupt changes in terrain derived from many branch tangents, unwrapping the interferogram by using the Chinese remainder theorem to obtain phase unwrapping information for large-scale areas.

步骤S3具体进一步包括以下步骤:Step S3 specifically further includes the following steps:

步骤6:针对干涉图中的枝切线分布区域采用自适应矩形框逐一提取;Step 6: Extract one by one with an adaptive rectangular frame for the branch tangent distribution area in the interferogram;

步骤7:对框内的干涉相位采用枝切法重新选取展开点,生成局部范围内的枝切线;Step 7: Use the branch cutting method to reselect the expansion point for the interference phase in the frame, and generate the branch tangent line in the local range;

步骤8:对局部范围内的枝切线上点的相位信息进行滤波处理,所述步骤8中的滤波处理采用中值滤波处理;Step 8: Perform filtering processing on the phase information of the points on the branch tangent line in the local range, and the filtering processing in the step 8 adopts median filtering processing;

步骤9:对矩形框内滤波处理后的干涉相位再次使用中国余数定理进行解缠,获得局部区域的解缠信息。Step 9: Unwrap the interferometric phase after filtering in the rectangular frame using the Chinese remainder theorem again to obtain the unwrapped information of the local area.

具体的,所述步骤6中,干涉图的尺寸为M×N,矩形框的尺寸为u×v,所述自适应矩形框的尺寸满足公式:Specifically, in the step 6, the size of the interferogram is M×N, the size of the rectangular frame is u×v, and the size of the adaptive rectangular frame satisfies the formula:

u=Floor[0.1×M+Ω] (25)u=Floor[0.1×M+Ω] (25)

v=Floor[0.1×N+Ω] (26)v=Floor[0.1×N+Ω] (26)

其中,Ω为干涉图的信噪比。where Ω is the signal-to-noise ratio of the interferogram.

实施例三Embodiment Three

本实施例是应用实施例二的方法,利用美国IsolationPeak国家公园数据作为一个具体操作实例,对本申请方案的详细说明。This embodiment is to apply the method of Embodiment 2, using the data of the IsolationPeak National Park in the United States as a specific operation example, to describe the solution of this application in detail.

如图1、图2、图3、图4所示,本实施例采用的数据为一景主影像及三景辅影像,根据多基线几何模型及差分原理生成3组不同基线下所对应的干涉图作为待解缠的数据。如图5所示,以下本实施例的方法具体实施流程的进一步说明。As shown in Figure 1, Figure 2, Figure 3, and Figure 4, the data used in this embodiment are the main image of one scene and the auxiliary images of three scenes, and the corresponding interferograms under three sets of different baselines are generated according to the multi-baseline geometric model and the principle of difference as the data to be unwrapped. As shown in FIG. 5 , the specific implementation process of the method of this embodiment will be further described below.

步骤一:将四景影像区分出主影像与辅影像,进行差分干涉处理,并按基线的长度排列,形成多基线InSAR相位干涉图。Step 1: Divide the four scene images into the main image and the auxiliary image, perform differential interference processing, and arrange them according to the length of the baseline to form a multi-baseline InSAR phase interferogram.

步骤二:为了数据的准确性及实验对比分析,图3给出了美国Isolation Peak国家公园真实DEM数据三维及二维参考图。Step 2: For the accuracy of data and comparative analysis of experiments, Figure 3 shows the 3D and 2D reference images of the real DEM data of the Isolation Peak National Park in the United States.

步骤三:对三幅干涉图分别采用枝切法处理全局范围所搜索的正负残差点,采用公式

Figure BDA0003761418860000111
计算,正残差点用1表示,负残差点用-1表示。Step 3: For the three interferograms, use the branch cutting method to process the positive and negative residual points searched in the global range, and use the formula
Figure BDA0003761418860000111
For calculation, positive residual points are represented by 1, and negative residual points are represented by -1.

步骤四:利用步骤三提取的残差点对全局相位设置枝切线,作路径跟踪指导作用。Step 4: Use the residual points extracted in Step 3 to set branch tangents to the global phase, which serves as a path tracking guide.

步骤五:基于干涉图中已经生成的枝切线,采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位。Step 5: Based on the generated branch tangents in the interferogram, use the Chinese remainder theorem to avoid the branch tangents and obtain the large-scale unwrapped phases in a suitable way.

图6是对三幅干涉图采用枝切法处理全局范围所搜索的残差点,图7是对三幅干涉图采用枝切法处理全局范围所形成的枝切线。Fig. 6 is the residual points searched by using the branch cutting method to process the global range of the three interferograms, and Fig. 7 is the branch tangent line formed by using the branch cutting method to process the global range on the three interferograms.

图8是采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位。Fig. 8 is the large-scale unwrapped phase obtained by using the Chinese remainder theorem to avoid branch tangents and adopting a suitable approach.

步骤六:全局范围内的解缠相位生成,则需要考虑局部欠采样及相位突变处的区域,采用枝切法逐一对欠采样及相位突变处的区域处理,以形成矩形框内的局部枝切线,并标记该位置,其中,实验过程中有一处欠采样区域相位突变点较多,为了确保60%稳定的相位信息,自适应矩形框的尺寸扩展为98*52,展示为图9所示。Step 6: Unwrapped phase generation in the global range, it is necessary to consider the area of local undersampling and phase mutation, and use the branch cutting method to process the regions of undersampling and phase mutation one by one to form the local branch tangent line in the rectangular frame , and mark the position, where there are many phase mutation points in an under-sampled area during the experiment, in order to ensure 60% stable phase information, the size of the adaptive rectangular frame is expanded to 98*52, as shown in Figure 9.

步骤七:对枝切线上点的相位信息进行中值滤波处理,若矩形框内仅有1-2个相位突变点,则默认该矩形框内解缠效果良好,无需滤波处理再次解缠。Step 7: Perform median filter processing on the phase information of the points on the branch tangent line. If there are only 1-2 phase mutation points in the rectangular frame, it is assumed that the unwrapping effect in the rectangular frame is good, and there is no need for filtering to unwrap again.

步骤八:对矩形框内滤波处理后的干涉相位再次使用中国余数定理进行解缠,结果如图10所示。Step 8: Unwrap the interferometric phase after filtering in the rectangular frame using the Chinese remainder theorem again, and the result is shown in Figure 10.

步骤九:将整体的相位解缠信息及小区域解缠信息结合,则得到了干涉图全部点位的相位解缠信息;如图11所示是大范围解缠相位及局部区域所拼接的整幅影像的解缠相位。Step 9: Combining the overall phase unwrapping information and the small area unwrapping information, the phase unwrapping information of all points in the interferogram is obtained; as shown in Figure 11, it is the whole area spliced by the large-scale unwrapping phase and the local area. unwrapped phase of an image.

步骤十:为验证该算法的抗噪性及相位突变处的解缠性能,作解缠相位同参考相位作差的误差分布图及误差直方图。Step 10: In order to verify the anti-noise performance of the algorithm and the unwrapping performance at the sudden phase change, make an error distribution diagram and an error histogram of the difference between the unwrapped phase and the reference phase.

由图11可见,该算法整合的多基线相位解缠图同原始的DEM整体吻合程度较高,并没有出现孤岛现象。It can be seen from Figure 11 that the multi-baseline phase unwrapped map integrated by the algorithm is in good agreement with the original DEM as a whole, and there is no island phenomenon.

由图12可见,该算法作解缠相位同参考相位作差的误差分布图中,整体相位误差值较低,仅有几处亮点为忽略的矩形框内仅有1-2个没有经过滤波处理的相位突变点,其误差值较大。It can be seen from Figure 12 that in the error distribution diagram of the difference between the unwrapped phase and the reference phase by this algorithm, the overall phase error value is relatively low, and only a few bright spots are neglected, and only 1-2 in the rectangular frame have not been filtered. The phase mutation point of , the error value is larger.

由图13可见,误差直方图分布也均在0rad左右,突变的点位占的频率很低,则该算法的鲁棒性有所提升,抗噪能力得到了验证。It can be seen from Figure 13 that the distribution of the error histogram is also around 0rad, and the frequency of mutation points is very low, so the robustness of the algorithm has been improved, and the anti-noise ability has been verified.

Claims (8)

1.一种顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,其特征是,所述方法包括以下步骤:1. a kind of multi-baseline phase unwrapping method of the robust Chinese remainder theorem of branch tangent, it is characterized in that, described method comprises the following steps: 针对同一感兴趣区域生成多基线InSAR相位干涉图;Generate multi-baseline InSAR phase interferograms for the same region of interest; 采用枝切法对所述干涉图设置枝切线,并采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位;Using the branch cutting method to set the branch tangent line on the interferogram, and adopting the Chinese remainder theorem to avoid the branch tangent line and adopting a suitable way to obtain the large-scale unwrapped phase; 针对干涉图中的枝切线分布区域,采用枝切法生成局部范围内的枝切线,并再次采用中国余数定理进行解缠,获得局部区域的解缠信息;For the branch tangent distribution area in the interferogram, the branch tangent method is used to generate the branch tangent in the local range, and the Chinese remainder theorem is used to unwrap to obtain the unwrapping information of the local area; 将大范围区域的相位解缠信息及局部区域的解缠信息结合,获得干涉图全部点位的相位解缠信息。The phase unwrapping information of the large-scale area and the unwrapping information of the local area are combined to obtain the phase unwrapping information of all points in the interferogram. 2.根据权利要求1所述的顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,其特征是,所述针对同一感兴趣区域生成多基线InSAR相位干涉图,进一步包括:2. The multi-baseline phase unwrapping method of the robust Chinese remainder theorem considering branch tangents according to claim 1, wherein said generation of multi-baseline InSAR phase interferograms for the same region of interest further comprises: 步骤1,获取针对同一区域的多幅多基线SAR影像,选择一幅主影像及多幅辅影像;Step 1, obtain multiple multi-baseline SAR images for the same area, select a main image and multiple auxiliary images; 步骤2,所述主影像与辅影像逐一进行差分干涉处理,并按基线的长度排列,生成多幅待解缠的多基线InSAR相位干涉图。In step 2, the main image and the auxiliary image are subjected to differential interference processing one by one, and arranged according to the length of the baseline to generate multiple multi-baseline InSAR phase interferograms to be unwrapped. 3.根据权利要求1所述的顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,其特征是,所述的采用枝切法对所述干涉图设置枝切线,并采用中国余数定理避开枝切线采取合适的途径获取的大范围解缠的相位,进一步包括:3. The multi-baseline phase unwrapping method of the robust Chinese remainder theorem considering branch tangents according to claim 1, characterized in that, the branch tangent method is used to set branch tangents to the interferogram, and the Chinese remainder is adopted The theorem avoids the branch tangents and adopts a suitable way to obtain the large-scale disentangled phase, which further includes: 步骤3,采用枝切法对所述的干涉图预处理,生成枝切线;Step 3, using the branch cut method to preprocess the interferogram to generate branch cut lines; 步骤4,根据所述的多幅干涉图建立多基线InSAR几何模型,根据多基线InSAR几何模型搭建中国余数定理数学模型;Step 4, establish a multi-baseline InSAR geometric model according to the multiple interferograms, and build a Chinese remainder theorem mathematical model according to the multi-baseline InSAR geometric model; 步骤5,根据预处理的枝切线分布,避开枝切线采用合理的途径,使用中国余数定理对干涉图解缠,获得大范围区域的相位解缠信息。Step 5, according to the preprocessed distribution of branch tangents, avoid branch tangents and adopt a reasonable approach, use the Chinese remainder theorem to unwrap the interferogram, and obtain phase unwrapping information in a large area. 4.根据权利要求1所述的顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,其特征是,所述的针对干涉图中的枝切线分布区域,采用枝切法生成局部范围内的枝切线,并再次采用中国余数定理进行解缠,获得局部区域的解缠信息,进一步包括:4. The multi-baseline phase unwrapping method considering the robust Chinese remainder theorem of branch tangents according to claim 1, characterized in that, for the distribution area of branch tangents in the interferogram, the branch cutting method is used to generate a local range The branch tangent line in , and use the Chinese remainder theorem to unwrap again to obtain the unwrapping information of the local area, which further includes: 步骤6:针对干涉图中的枝切线分布区域采用自适应矩形框逐一提取;Step 6: Extract one by one with an adaptive rectangular frame for the branch tangent distribution area in the interferogram; 步骤7:对框内的干涉相位采用枝切法重新选取展开点,生成局部范围内的枝切线;Step 7: Use the branch cutting method to reselect the expansion point for the interference phase in the frame, and generate the branch tangent line in the local range; 步骤8:对局部范围内的枝切线上点的相位信息进行滤波处理;Step 8: Filtering the phase information of the points on the branch tangent line in the local range; 步骤9:对矩形框内滤波处理后的干涉相位再次使用中国余数定理进行解缠,获得局部区域的解缠信息。Step 9: Unwrap the interferometric phase after filtering in the rectangular frame using the Chinese remainder theorem again to obtain the unwrapped information of the local area. 5.根据权利要求3所述的顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,其特征是,所述步骤4,进一步包括:5. The multi-baseline phase unwrapping method considering the robust Chinese remainder theorem of branch tangents according to claim 3, characterized in that, said step 4, further comprising: 对于多基线InSAR系统几何模型的参数表达式如下:The parameter expressions of the multi-baseline InSAR system geometric model are as follows:
Figure FDA0003761418850000021
Figure FDA0003761418850000021
式中,h表示高差,λ表示波长,θ表示侧视角,α表示基线水平角,Bi表示不同的基线长度,R表示相位中心相对于目标点的斜距,ki表示不同点位干涉相位的模糊数。In the formula, h represents the height difference, λ represents the wavelength, θ represents the side viewing angle, α represents the horizontal angle of the baseline, B i represents different baseline lengths, R represents the oblique distance between the phase center and the target point, and ki represents the interference of different points A fuzzy number for the phase. 若设置B0=[B1,B2,…,Bn],其中,[]代表求解最小公倍数,同时设定模长mi=B0/Bi,干涉相位可以用高差表示:If B 0 =[B 1 ,B 2 ,…,B n ] is set, where [] means to find the least common multiple, and the modulus length m i =B 0 /B i is set at the same time, the interferometric phase can be expressed by height difference:
Figure FDA0003761418850000022
Figure FDA0003761418850000022
若设置
Figure FDA0003761418850000031
则不同基线下干涉图中对应于各个点位干涉相位的所要求解的模糊数满足以下等式:
If set
Figure FDA0003761418850000031
Then the fuzzy numbers to be solved corresponding to the interferometric phase of each point in the interferogram under different baselines satisfy the following equation:
T=wi+ki·mi T=w i +k i m i 对应于N组基线所形成的N幅干涉图,每个相对应的点位由N组等式组成,且每组等式中,mi是确定的,wi不同,T相同,根据数学理论,即构建了同余方程组,最终所要获取的值模糊数ki是求解中国余数定理数学模型的过程。Corresponding to N interferograms formed by N sets of baselines, each corresponding point is composed of N sets of equations, and in each set of equations, m i is determined, w i is different, and T is the same. According to mathematical theory , that is, the congruence equations are constructed, and the final fuzzy number ki to be obtained is the process of solving the mathematical model of the Chinese remainder theorem.
6.根据权利要求3所述的顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,其特征是,所述步骤5,进一步包括:根据预处理的枝切线分布,对于枝切线衍生较多的地形突变区域,采用中国余数定理对干涉图解缠,获得大范围区域的相位解缠信息。6. The multi-baseline phase unwrapping method considering the robust Chinese remainder theorem of branch tangents according to claim 3, characterized in that, said step 5, further comprising: according to the preprocessed branch tangent distribution, for branch tangent derivatives In areas with more abrupt terrain changes, the Chinese remainder theorem is used to unwrap the interferogram to obtain phase unwrapped information in a large area. 7.根据权利要求4所述的顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,其特征是,所述步骤6中,干涉图的尺寸为M×N,矩形框的尺寸为u×v,所述自适应矩形框的尺寸满足公式:7. The multi-baseline phase unwrapping method considering the robust Chinese remainder theorem of branch tangents according to claim 4, characterized in that, in the step 6, the size of the interferogram is M×N, and the size of the rectangular frame is u×v, the size of the adaptive rectangular frame satisfies the formula: u=Floor[0.1×M+Ω]u=Floor[0.1×M+Ω] v=Floor[0.1×N+Ω]v=Floor[0.1×N+Ω] 其中,Ω为干涉图的信噪比。Among them, Ω is the signal-to-noise ratio of the interferogram. 8.根据权利要求4所述的顾及枝切线的鲁棒中国余数定理的多基线相位解缠方法,其特征是,所述步骤8中的滤波处理采用中值滤波处理。8. The multi-baseline phase unwrapping method considering the robust Chinese remainder theorem of branch tangents according to claim 4, characterized in that, the filtering process in the step 8 adopts median filtering process.
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