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Journal of Electronic Imaging

Fast and exact method for computing a stack of images at various focuses from a four-dimensional light field
Author(s): Eran Small; Ziv Mhabary; Ofer Levi; Adrian Stern
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Paper Abstract

This paper presents an efficient method for computing a stack of images digitally focused at various lengths from a four-dimensional light field (LF). The main contribution of this work is a fast and algebraically exact method that does not require interpolation in the frequency or spatial domains as alternative methods do. The proposed imaging operator combines two-dimensional (2-D) fast Fourier transform with 2-D fractional Fourier transform and has computational complexity of O(N log N), where N is the number of pixels in the LF tesseract of dimension N=nx×ny×nu×nv. The whole method consists of unitary vector-based operations; therefore, parallel implementation is easy and can contribute additional speed up. While current state of the art methods suffer from inherent tradeoff between the reconstruction quality and computational complexity, the proposed method benefits of both low-computational complexity and high-reconstruction quality. We also offer a solution for refocusing at distances that are not included in the reconstructed images stack. For such a case, we provide a modified version of our method, which is also algebraically exact and has lower computational complexity than other exact methods.

Paper Details

Date Published: 11 July 2016
PDF: 7 pages
J. Electron. Imag. 25(4) 043002 doi: 10.1117/1.JEI.25.4.043002
Published in: Journal of Electronic Imaging Volume 25, Issue 4
Show Author Affiliations
Eran Small, Weizmann Institute of Science (Israel)
Ziv Mhabary, Ben-Gurion Univ. of the Negev (Israel)
Ofer Levi, The Open Univ. of Israel (Israel)
Adrian Stern, Ben-Gurion Univ. of the Negev (Israel)

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