Accurate reconstruction in digital holographic microscopy using antialiasing shift-invariant contourlet transform

Xiaolei Zhang, Xiangchao Zhang, Min Xu, Hao Zhang, Xiangqian Jiang

Research output: Contribution to journalArticle

Abstract

The measurement of microstructured components is a challenging task in optical engineering. Digital holographic microscopy has attracted intensive attention due to its remarkable capability of measuring complex surfaces. However, speckles arise in the recorded interferometric holograms, and they will degrade the reconstructed wavefronts. Existing speckle removal methods suffer from the problems of frequency aliasing and phase distortions. A reconstruction method based on the antialiasing shift-invariant contourlet transform (ASCT) is developed. Salient edges and corners have sparse representations in the transform domain of ASCT, and speckles can be recognized and removed effectively. As subsampling in the scale and directional filtering schemes is avoided, the problems of frequency aliasing and phase distortions occurring in the conventional multiscale transforms can be effectively overcome, thereby improving the accuracy of wavefront reconstruction. As a result, the proposed method is promising for the digital holographic measurement of complex structures.

LanguageEnglish
Article number034108
Number of pages10
JournalOptical Engineering
Volume57
Issue number3
DOIs
Publication statusPublished - 28 Mar 2018

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Speckle
Microscopic examination
Wavefronts
microscopy
shift
Optical engineering
Holograms
engineering

Cite this

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title = "Accurate reconstruction in digital holographic microscopy using antialiasing shift-invariant contourlet transform",
abstract = "The measurement of microstructured components is a challenging task in optical engineering. Digital holographic microscopy has attracted intensive attention due to its remarkable capability of measuring complex surfaces. However, speckles arise in the recorded interferometric holograms, and they will degrade the reconstructed wavefronts. Existing speckle removal methods suffer from the problems of frequency aliasing and phase distortions. A reconstruction method based on the antialiasing shift-invariant contourlet transform (ASCT) is developed. Salient edges and corners have sparse representations in the transform domain of ASCT, and speckles can be recognized and removed effectively. As subsampling in the scale and directional filtering schemes is avoided, the problems of frequency aliasing and phase distortions occurring in the conventional multiscale transforms can be effectively overcome, thereby improving the accuracy of wavefront reconstruction. As a result, the proposed method is promising for the digital holographic measurement of complex structures.",
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Accurate reconstruction in digital holographic microscopy using antialiasing shift-invariant contourlet transform. / Zhang, Xiaolei; Zhang, Xiangchao; Xu, Min; Zhang, Hao; Jiang, Xiangqian.

In: Optical Engineering, Vol. 57, No. 3, 034108, 28.03.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Accurate reconstruction in digital holographic microscopy using antialiasing shift-invariant contourlet transform

AU - Zhang, Xiaolei

AU - Zhang, Xiangchao

AU - Xu, Min

AU - Zhang, Hao

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AB - The measurement of microstructured components is a challenging task in optical engineering. Digital holographic microscopy has attracted intensive attention due to its remarkable capability of measuring complex surfaces. However, speckles arise in the recorded interferometric holograms, and they will degrade the reconstructed wavefronts. Existing speckle removal methods suffer from the problems of frequency aliasing and phase distortions. A reconstruction method based on the antialiasing shift-invariant contourlet transform (ASCT) is developed. Salient edges and corners have sparse representations in the transform domain of ASCT, and speckles can be recognized and removed effectively. As subsampling in the scale and directional filtering schemes is avoided, the problems of frequency aliasing and phase distortions occurring in the conventional multiscale transforms can be effectively overcome, thereby improving the accuracy of wavefront reconstruction. As a result, the proposed method is promising for the digital holographic measurement of complex structures.

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