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An Effective Two-Dimensional Phase Unwrapping Method Using Cost Function Model of L~0 Norm

SHI Juan;GAO Jian;ZHANG Chengbin;FEI Xianyun;School of Surveying and Oceanographic Information Engineering,Huaihai Institute of Technology;School of Geographic and Biologic Information,Nanjing University of Posts and Telecommunications;Shandong Provincal Institute of Land Surveying and Mapping;  
In order to improve the cost model and convergence speed of the minimum norm unwrapping,we propose a two-dimensional global phase unwrapping method optimized with L0 norm.By analyzing the features of cost model in phase unwrapping with minimum norm,a cost function definition is employed in line with the L0 norm,which imposes a stronger constraint in the tangent direction of phase discontinuity boundary than that in normal direction.Meanwhile,to overcome slow convergence of low-frequency error compensation in linear equations,a data partitioning strategy is adopted in unwrapping processing,in view of the intrinsic independence of the minimum norm method,which only focuses on high-frequency information to improve efficiency in the iterative process,but processing of the low-frequency part is transferred to offsetting between data partitions.The experiment shows that reliability and efficiency of the proposed phase unwrapping method are enhanced.
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