Convex optimization-based windowed Fourier filtering with multiple windows for wrapped-phase denoising

Kohei Yatabe*, Yasuhiro Oikawa

*この研究の対応する著者

研究成果: Article査読

22 被引用数 (Scopus)

抄録

The windowed Fourier filtering (WFF), defined as a thresholding operation in the windowed Fourier transform (WFT) domain, is a successful method for denoising a phase map and analyzing a fringe pattern. However, it has some shortcomings, such as extremely high redundancy, which results in high computational cost, and difficulty in selecting an appropriate window size. In this paper, an extension of WFF for denoising a wrapped-phase map is proposed. It is formulated as a convex optimization problem using Gabor frames instead of WFT. Two Gabor frames with differently sized windows are used simultaneously so that the above-mentioned issues are resolved. In addition, a differential operator is combined with a Gabor frame in order to preserve discontinuity of the underlying phase map better. Some numerical experiments demonstrate that the proposed method is able to reconstruct a wrapped-phase map, even for a severely contaminated situation.

本文言語English
ページ(範囲)4632-4641
ページ数10
ジャーナルApplied Optics
55
17
DOI
出版ステータスPublished - 2016 6月 10

ASJC Scopus subject areas

  • 原子分子物理学および光学
  • 工学(その他)
  • 電子工学および電気工学

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