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Phase unwrapping by accumulation of residual maps |
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| Institution: | 1. Research & Development Unit “MEG & Cortical Networks and Cognitive Functions”, Max Planck Institute for Human Cognitive and Brain Sciences, Stephanstraße 1a, 04103 Leipzig, Germany;2. Department of Neuropsychology, Max Planck Institute for Human Cognitive and Brain Sciences, Stephanstraße 1a, 04103 Leipzig, Germany;1. Shenzhen Medical Biometrics Perception and Analysis Engineering Laboratory, Harbin Institute of Technology (Shenzhen), University Town of Shenzhen, Shenzhen 518055, China;2. School of Science and Engineering, The Chinese University of Hong Kong (Shenzhen), Shenzhen, China |
| Abstract: | We present a path independent (global) algorithm for phase unwrapping based on the minimisation of a robust cost function. The algorithm incorporates an outlier rejection mechanism making it robust to large inconsistencies and discontinuities. The proposal consists on an iterative incremental scheme that unwraps a sub-estimation of the residual phase at each iteration. The sub-estimation degree is controlled by an algorithm?s parameter. We present an efficiently computational multigrid implementation based on a nested strategy: the process is iterated by using multiple resolutions. The proposal?s performance is demonstrated by experiments with synthetic and real data, and successfully compared with algorithms of the state of the art. |
| Keywords: | Phase unwrapping Optical metrology Robust regularisation Multigrid methods Inverse problems |
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