New Algorithm for Phase Unwrapping
We have developed a new algorithm, that uses fast transforms, for robustly
solving the previously unsolved weighted least-squares two-dimensional
phase unwrapping problem. Phase unwrapping problems arise in scientific
applications when a physical quantity (i.e., surface deformation, time
delay, terrain elevation, Etc. ) is transduced or related to the phase of a
complex signal. These signals are obtained, for example, during optical
interferometry experiments, microwave interferometry, coherent sonar
beamforming, and other applications. Our new algorithm for weighted
least-squares unwrapping can be used to isolate inconsistent regions and
provide an exact solution to the weighted unwrapping problem in a robust
manner. Our method has been applied in SAR Interferometry and has enabled
substantial improvements for terrain elevation mapping. A patent disclosure
is in progress.
Wrapped phase from synthetic aperature radar interferometric image pairs.
Unwrapped phase representing terrain elevation.
Perspective rendering of digital terrain elevation map.