Superresolving SAR Tomography for Multidimensional Imaging of Urban Areas: Compressive sensing-based TomoSAR inversion

With reference to the current status of VHR spaceborne tomographic SAR inversion presented in this article, the following conclusions can be drawn: VHR tomographic SAR inversion is able to reconstruct the shape and motion of individual buildings and entire city areas. SR is crucial and possible, e.g., using CS, for VHR tomographic SAR inversion for urban infrastructure. The motion or deformation of buildings is often nonlinear (periodic, accelerating, stepwise, etc.). Multicomponent nonlinear motion of multiple scatterers can be separated. The 4-D point clouds retrieved by VHR TomoSAR has a point density comparable to LiDAR and can be potentially used for dynamic city model reconstruction.

[1]  Massimo Fornasier,et al.  Compressive Sensing , 2015, Handbook of Mathematical Methods in Imaging.

[2]  Gianfranco Fornaro,et al.  Tomographic Processing of Interferometric SAR Data: Developments, applications, and future research perspectives , 2014, IEEE Signal Processing Magazine.

[3]  R. Bamler,et al.  Very high Resolution SAR tomography via Compressive Sensing , 2009 .

[4]  Xiaoxiang Zhu,et al.  Facade Reconstruction Using Multiview Spaceborne TomoSAR Point Clouds , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[5]  David R. Anderson,et al.  Multimodel Inference , 2004 .

[6]  Richard Bamler,et al.  Very High Resolution Spaceborne SAR Tomography in Urban Environment , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Stephen J. Wright,et al.  Sparse Reconstruction by Separable Approximation , 2008, IEEE Transactions on Signal Processing.

[8]  Gianfranco Fornaro,et al.  Three-dimensional multipass SAR focusing: experiments with long-term spaceborne data , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[9]  Richard Bamler,et al.  Super-Resolution Power and Robustness of Compressive Sensing for Spectral Estimation With Application to Spaceborne Tomographic SAR , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[10]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[11]  R.G. Baraniuk,et al.  Compressive Sensing [Lecture Notes] , 2007, IEEE Signal Processing Magazine.

[12]  Gilda Schirinzi,et al.  SAR tomography from sparse samples , 2009, 2009 IEEE International Geoscience and Remote Sensing Symposium.

[13]  Richard Bamler,et al.  Tomographic SAR Inversion by $L_{1}$ -Norm Regularization—The Compressive Sensing Approach , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[14]  F. Gini,et al.  Layover solution in multibaseline SAR interferometry , 2002 .

[15]  Alberto Moreira,et al.  First demonstration of airborne SAR tomography using multibaseline L-band data , 2000, IEEE Trans. Geosci. Remote. Sens..

[16]  Fabrizio Lombardini,et al.  Differential tomography: a new framework for SAR interferometry , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[17]  Richard Bamler,et al.  Demonstration of Super-Resolution for Tomographic SAR Imaging in Urban Environment , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[18]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[19]  E.J. Candes Compressive Sampling , 2022 .

[20]  Richard Bamler,et al.  Tomographic Imaging and Monitoring of Buildings With Very High Resolution SAR Data , 2011, IEEE Geoscience and Remote Sensing Letters.

[21]  Richard Bamler,et al.  Let's Do the Time Warp: Multicomponent Nonlinear Motion Estimation in Differential SAR Tomography , 2011, IEEE Geoscience and Remote Sensing Letters.

[22]  S. Gernhardt,et al.  Interferometric Potential of High Resolution Spaceborne SAR , 2009 .

[23]  Igal Bilik,et al.  Compressive sensing-based SAR tomography , 2010, 2010 IEEE Radar Conference.

[24]  Gianfranco Fornaro,et al.  Four-Dimensional SAR Imaging for Height Estimation and Monitoring of Single and Double Scatterers , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[25]  Xiao Xiang Zhu,et al.  Very High Resolution Tomographic SAR Inversion for Urban Infrastructure Monitoring — A Sparse and Nonlinear Tour , 2011 .