Interferometry

Phase unwrapping

Physics

Norm (philosophy)

Computer science

Optics

Political science

Geology

Remote sensing

IEEE Transactions on Geoscience and Remote Sensing

Two-dimensional phase unwrapping (PU) is a crucial processing step of synthetic aperture radar interferometry (InSAR). With the rapid advance of InSAR technology, the scale of interferograms is becoming increasingly larger. When the size of the input interferogram exceeds computer hardware capabilities, PU becomes more problematic in terms of computational and memory requirements. In the case of "big-data" PU, the input interferogram needs to be first tiled into a number of subinterferograms, unwrapped separately, and then spliced together. Hence, whether the PU result of each subinterferogram is consistent with that of the whole interferogram is critical to the large-scale PU process. To effectively solve this problem, the L <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> -norm envelope-sparsity theorem, which gives a sufficient condition to exactly guarantee the consistency between local and global L <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" x...

Large-Scale ${L} ^{0}$ -Norm and ${L} ^{1}$ -Norm 2-D Phase Unwrapping