2014
DOI: 10.1109/lgrs.2014.2313854
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PUMA-SPA: A Phase Unwrapping Method Based on PUMA and Second-Order Polynomial Approximation

Abstract: This letter focuses on the phase unwrapping algorithm. A state-of-the-art phase unwrapping method called PUMA which is based on the max-flow/min-cut was proposed recently. The proposed method in this letter postprocesses the results of PUMA to improve the unwrapping results. A pointwise local second-order polynomial approximation method is considered to suppress the noise. We estimate the parameters of the polynomial by solving the overdetermined equations and get the solution with the Least Squares Error Fitt… Show more

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Cited by 4 publications
(2 citation statements)
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“…From Equation 1, PU was an illposed inverse problem. As k (x, y) was discrete, the traditional algorithms to solve this kind of problem approximated it by a continuous function to obtain the final solution (e.g., (Hongxing and LingdaPUMA-SPA, 2014)). As mentioned above, the discrete term is usually made continuous by use of the differential term in PU methods based on deep learning.…”
Section: Discussion Of Two Problem Modelsmentioning
confidence: 99%
“…From Equation 1, PU was an illposed inverse problem. As k (x, y) was discrete, the traditional algorithms to solve this kind of problem approximated it by a continuous function to obtain the final solution (e.g., (Hongxing and LingdaPUMA-SPA, 2014)). As mentioned above, the discrete term is usually made continuous by use of the differential term in PU methods based on deep learning.…”
Section: Discussion Of Two Problem Modelsmentioning
confidence: 99%
“…Although it is computationally efficient to solve Poisson's equation using a multigrid solver as described, there is no inherent regularization or smoothing of the solution in this step. A phase unwrapper that can incorporate a smoothness criterion, such as in previous works , could possibly increase the robustness further. The water‐fat classification only failed in 10 cases of smaller and peripheral clusters during this evaluation, and it may be possible to improve the classification step further.…”
Section: Discussionmentioning
confidence: 99%