改进的多基线InSAR高程重建方法
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摘要
针对在复杂不连续地形中,传统多基线高程重建算法噪声适应性差的缺点,该文先利用经验模态分解法对选定干涉图滤波,再通过基于马尔科夫模型的多基线最大后验估计重建地形高程。经验模态分解法滤波在抑制干涉图噪声的同时,较好地保留了条纹细节和边缘信息,使得重建的高程更为精准。相较于传统多基线高程重建算法,该文算法噪声适应性更好,估计精度更高,且边缘信息更清晰。最后通过3种地形的仿真实验,证明了该方法简单有效。
Considering the low noise immunity for multi-baseline InSAR height reconstruction algorithm in complex or strongly discontinuous terrain,a method based on empirical mode decomposition and maximum a posteriori estimation was proposed.In this paper,the empirical mode decomposition method was used to filter interferograms,and then reconstructs the elevation of the area by the maximum aposteriori estimation based on Markov random fields.The empirical mode decomposition method suppressed the noise of the interferogram while preserving the fringe detail and the edge information,which made the reconstruction of the elevation more accurate.Compared with traditional multi-baseline InSAR height reconstruction algorithm,the present algorithm had better noise adaptability,higher accuracy and clearer edge information.Finally,the three types of simulation experimences proved that the method was simple and effective.
Considering the low noise immunity for multi-baseline InSAR height reconstruction algorithm in complex or strongly discontinuous terrain,a method based on empirical mode decomposition and maximum a posteriori estimation was proposed.In this paper,the empirical mode decomposition method was used to filter interferograms,and then reconstructs the elevation of the area by the maximum aposteriori estimation based on Markov random fields.The empirical mode decomposition method suppressed the noise of the interferogram while preserving the fringe detail and the edge information,which made the reconstruction of the elevation more accurate.Compared with traditional multi-baseline InSAR height reconstruction algorithm,the present algorithm had better noise adaptability,higher accuracy and clearer edge information.Finally,the three types of simulation experimences proved that the method was simple and effective.
引文
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[2] XU W,CHANG E C,KWOH L K,et al.Phaseunwrapping of SAR interferogram with multi-frequency or multi-baseline[C]∥Proceeding of IEEE International Geoscience and Remote Sensing Symposium.Piscataway:IEEE,1994:730-732.
[3] THOMPSON D G,ROBERTSON A E,ARNOLD D V,et al.Multi-baseline interferometric SAR for iterative height estimation[C]∥Proceeding of IEEE International Geoscience and Remote Sensing Symposium.Piscataway:IEEE,1999:251-253.
[4] PASCAZIO V,SCHIRINZI G.Multifrequency InSAR height reconstruction through maximum likelihood estimation of local planes parameters[J].IEEE Transactions on Image Processing,2002,11(12):1478-1489.
[5]袁志辉,邓云凯,李飞,等.改进的基于最大似然估计的多通道InSAR高程重建方法[J].电子与信息学报,2013,35(9):2161-2167.(YUAN Zhihui,DENG Yunkai,LI Fei,et al.Improved multichannel InSAR height reconstruction method based on maximum likelihood estimation[J].Journal of Electronics&Information Technology,2013,35(9):2161-2167.)
[6] FERRAIUOLO G,PASCAZIO V,SCHIRINZI G.Maximum a posteriori estimation of height profiles in InSAR imaging[J].IEEE Geoscience&Remote Sensing Letters,2004,1(2):66-70.
[7] LI Zhengfang,BAO Zheng,SUO Zhiyong.A joint image coregistration,phase noise suppression,and phase unwrapping method based on subspace projection for multibaseline InSAR systems[J].IEEE Transctions on Geoscience and Remote Sensing,2007,45(3):584-591.
[8]张红敏,靳国旺,徐青,等.中国余数定理在双基线InSAR相位解缠中的应用[J].测绘学报,2011,40(6):770-777.(ZHANG Hongmin,JIN Guowang,XU Qing,et al.Application of Chinese remainder theorem in phase unwrapping for dual-baseline InSAR[J].Acta Geodaetica et Cartographica Sinica,2011,40(6):770-777.)
[9]靳国旺,张红敏,徐青,等.多波段InSAR的CRT相位解缠方法[J].西安电子科技大学学报(自然科学版),2011,38(6):97-102.(JIN Guowang,ZHANG Hongmin,XU Qing,et al.Phase unwrapping algorithm with CRT for multi-band InSAR[J].Journal of Xidian University,2011,38(6):97-102.)
[10]于瀚雯,保铮.利用L1范数的多基线InSAR相位解缠绕技术[J].西安电子科技大学学报(自然科学版),2013,40(4):37-41.(YU Hanwen,BAO Zheng.L1-norm method for multi-baseline InSAR phase unwrapping[J].Journal of Xidian University,2013,40(4):37-41.)
[11]YU Hanwen,YANG Lan.Robust two-dimensional phase unwrapping for multibaseline SAR Interferograms:a two-stage programming approach[J].IEEE Transactions on Geoscience&Remote Sensing,2016,54(9):5217-5225.
[12]毛志杰,廖桂生,李海.自适应图像配准多基线InSAR干涉相位展开方法[J].电波科学学报,2008,23(5):877-882,898.(MAO Zhijie,LIAO Guisheng,LI Hai.Multibaseline InSAR with image auto-coregistration for phase unwrapping[J].Chinese Journal of Radio Science,2008,23(5):877-882,898.)
[13]索志勇,李真芳,吴建新,等.联合像素多基线InSAR降维处理方法[J].西安电子科技大学学报(自然科学版),2009,36(3):385-389,417.(SUO Zhiyong,LI Zhenfang,WU Jianxin,et al.Reduced-dimension method for joint-pixel multi-baseline InSAR processing[J].Journal of Xidian University,2009,36(3):385-389,417.)
[14]刘会涛,邢孟道,保铮.利用L∞+L1范数的多基线相位解缠绕方法[J].电子与信息学报,2015,37(5):1111-1115.(LIU Huitao,XING Mengdao,BAO Zheng.L∞+L1-norm method for multi-baseline phase unwrapping[J].Journal of Electronics&Information Technology,2015,37(5):1111-1115.)
[15]YUE Huanyin,GUO Huadong,HAN Chunming,et al.A SAR interferogram filter based on the empirical mode decomposition method[C]∥Geoscience and Remote Sensing Symposium,Sydney Australia.Piscataway:IEEE,2001:2061-2063.
[16]HUANG N E,SHEN Z,LONG S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].The Royal Society,1998,454(1971):903-995.
[17]岳焕印,郭华东,韩春明,等.噪声条件下的干涉SAR相位解缠[J].测绘学报,2002,31(2):151-156.(YUE Huanyin,GUO Huadong,HAN Chunming,et al.Phase unwrapping of noisy sar interferograms[J].Acta Geodaetica et Cartographic Sinica,2002,31(2):151-156.)
[2] XU W,CHANG E C,KWOH L K,et al.Phaseunwrapping of SAR interferogram with multi-frequency or multi-baseline[C]∥Proceeding of IEEE International Geoscience and Remote Sensing Symposium.Piscataway:IEEE,1994:730-732.
[3] THOMPSON D G,ROBERTSON A E,ARNOLD D V,et al.Multi-baseline interferometric SAR for iterative height estimation[C]∥Proceeding of IEEE International Geoscience and Remote Sensing Symposium.Piscataway:IEEE,1999:251-253.
[4] PASCAZIO V,SCHIRINZI G.Multifrequency InSAR height reconstruction through maximum likelihood estimation of local planes parameters[J].IEEE Transactions on Image Processing,2002,11(12):1478-1489.
[5]袁志辉,邓云凯,李飞,等.改进的基于最大似然估计的多通道InSAR高程重建方法[J].电子与信息学报,2013,35(9):2161-2167.(YUAN Zhihui,DENG Yunkai,LI Fei,et al.Improved multichannel InSAR height reconstruction method based on maximum likelihood estimation[J].Journal of Electronics&Information Technology,2013,35(9):2161-2167.)
[6] FERRAIUOLO G,PASCAZIO V,SCHIRINZI G.Maximum a posteriori estimation of height profiles in InSAR imaging[J].IEEE Geoscience&Remote Sensing Letters,2004,1(2):66-70.
[7] LI Zhengfang,BAO Zheng,SUO Zhiyong.A joint image coregistration,phase noise suppression,and phase unwrapping method based on subspace projection for multibaseline InSAR systems[J].IEEE Transctions on Geoscience and Remote Sensing,2007,45(3):584-591.
[8]张红敏,靳国旺,徐青,等.中国余数定理在双基线InSAR相位解缠中的应用[J].测绘学报,2011,40(6):770-777.(ZHANG Hongmin,JIN Guowang,XU Qing,et al.Application of Chinese remainder theorem in phase unwrapping for dual-baseline InSAR[J].Acta Geodaetica et Cartographica Sinica,2011,40(6):770-777.)
[9]靳国旺,张红敏,徐青,等.多波段InSAR的CRT相位解缠方法[J].西安电子科技大学学报(自然科学版),2011,38(6):97-102.(JIN Guowang,ZHANG Hongmin,XU Qing,et al.Phase unwrapping algorithm with CRT for multi-band InSAR[J].Journal of Xidian University,2011,38(6):97-102.)
[10]于瀚雯,保铮.利用L1范数的多基线InSAR相位解缠绕技术[J].西安电子科技大学学报(自然科学版),2013,40(4):37-41.(YU Hanwen,BAO Zheng.L1-norm method for multi-baseline InSAR phase unwrapping[J].Journal of Xidian University,2013,40(4):37-41.)
[11]YU Hanwen,YANG Lan.Robust two-dimensional phase unwrapping for multibaseline SAR Interferograms:a two-stage programming approach[J].IEEE Transactions on Geoscience&Remote Sensing,2016,54(9):5217-5225.
[12]毛志杰,廖桂生,李海.自适应图像配准多基线InSAR干涉相位展开方法[J].电波科学学报,2008,23(5):877-882,898.(MAO Zhijie,LIAO Guisheng,LI Hai.Multibaseline InSAR with image auto-coregistration for phase unwrapping[J].Chinese Journal of Radio Science,2008,23(5):877-882,898.)
[13]索志勇,李真芳,吴建新,等.联合像素多基线InSAR降维处理方法[J].西安电子科技大学学报(自然科学版),2009,36(3):385-389,417.(SUO Zhiyong,LI Zhenfang,WU Jianxin,et al.Reduced-dimension method for joint-pixel multi-baseline InSAR processing[J].Journal of Xidian University,2009,36(3):385-389,417.)
[14]刘会涛,邢孟道,保铮.利用L∞+L1范数的多基线相位解缠绕方法[J].电子与信息学报,2015,37(5):1111-1115.(LIU Huitao,XING Mengdao,BAO Zheng.L∞+L1-norm method for multi-baseline phase unwrapping[J].Journal of Electronics&Information Technology,2015,37(5):1111-1115.)
[15]YUE Huanyin,GUO Huadong,HAN Chunming,et al.A SAR interferogram filter based on the empirical mode decomposition method[C]∥Geoscience and Remote Sensing Symposium,Sydney Australia.Piscataway:IEEE,2001:2061-2063.
[16]HUANG N E,SHEN Z,LONG S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].The Royal Society,1998,454(1971):903-995.
[17]岳焕印,郭华东,韩春明,等.噪声条件下的干涉SAR相位解缠[J].测绘学报,2002,31(2):151-156.(YUE Huanyin,GUO Huadong,HAN Chunming,et al.Phase unwrapping of noisy sar interferograms[J].Acta Geodaetica et Cartographic Sinica,2002,31(2):151-156.)