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A Factorized Variational Technique for Phase Unwrapping in Markov Random Fields

2013/01/10 by Kannan Achan, Achan, Kannan, Brendan J. Frey +3
Earth and Planetary Sciences · Engineering · Environmental Science · #3D Surveying and Cultural Heritage #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Remote Sensing and LiDAR Applications #Synthetic Aperture Radar (SAR) Applications and Techniques

paper · pdf · doi:10.48550/arxiv.1301.2252

openalex publication_date 2013/01/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Some types of medical and topographic imaging device produce images in which the pixel values are "phase-wrapped", i.e. measured modulus a known scalar. Phase unwrapping can be viewed as the problem of inferring the number of shifts between each and every pair of neighboring pixels, subject to an a priori preference for smooth surfaces, and subject to a zero curl constraint, which requires that the shifts must sum to 0 around every loop. We formulate phase unwrapping as a mean field inference problem in a Markov network, where the prior favors the zero curl constraint. We compare our mean field technique with the least squares method on a synthetic 100x100 image, and give results on a 512x512 synthetic aperture radar image from Sandia National Laboratories.

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