Optical sectioning using compressive Fresnel holography with dictionary learning

Junkyu Yim; KiHong Choi; Sung-Wook Min

doi:10.1117/1.OE.57.7.073102

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5 July 2018 Optical sectioning using compressive Fresnel holography with dictionary learning

Junkyu Yim, KiHong Choi, Sung-Wook Min

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Optical Engineering, 57(7), 073102 (2018). https://doi.org/10.1117/1.OE.57.7.073102

Abstract

Optical sectioning through the numerical reconstruction of digital holographic data with low diffraction noise is the key process for understanding the structure of a recorded three-dimensional object. Recently, this has been enabled by compressive holography, by virtue of sparse signal processing. However, interpretation of the object signal domain has been limited to predefined domains, such as spatial, discrete cosine transform, and wavelet transform domains. We propose a reconstruction technique of compressive Fresnel holographic data using an overcomplete dictionary learned from natural images to enhance the axial resolution of the sectional images. The redundant (overcomplete) dictionary gives sparser and more flexible solutions for representing the two-dimensional images compared to predefined transforms. We provide simulation results to verify the feasibility of our proposed method.

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Junkyu Yim, KiHong Choi, and Sung-Wook Min "Optical sectioning using compressive Fresnel holography with dictionary learning," Optical Engineering 57(7), 073102 (5 July 2018). https://doi.org/10.1117/1.OE.57.7.073102

Received: 8 January 2018; Accepted: 12 June 2018; Published: 5 July 2018

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