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Journal of Electronic Imaging

Fast approximate 4-D/3-D discrete radon transform for lightfield refocusing
Author(s): Jose G. Marichal-Hernandez; Jonas Philipp Lüke; Fernando L. Rosa González; José Manuel Rodríguez-Ramos
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Paper Abstract

We develop a new algorithm that extends the bidimensional fast digital radon transform from Götz and Druckmüller (1996) to digitally simulate the refocusing of a 4-D lightfield into a 3-D volume of photographic planes as previously done by Ng et al. (2005) but with the minimum number of operations. This new algorithm does not require multiplications just sums and its computational complexity is O(N4) to achieve a volume consisting of 2N photographic planes focused at different depths from a N4 plenoptic image. This reduced complexity allows for the acquisition and processing of a plenoptic sequence with the purpose of estimating 3-D shape at video rate. Examples are given of implementations on GPU and CPU platforms. Finally, a modified version of the algorithm to deal with domains of sizes different than a power of two is proposed.

Paper Details

Date Published: 3 July 2012
PDF: 13 pages
J. Electron. Imag. 21(2) 023026 doi: 10.1117/1.JEI.21.2.023026
Published in: Journal of Electronic Imaging Volume 21, Issue 2
Show Author Affiliations
Jose G. Marichal-Hernandez, Univ. de La Laguna (Spain)
Jonas Philipp Lüke, Univ. de La Laguna (Spain)
Fernando L. Rosa González, Univ. de La Laguna (Spain)
José Manuel Rodríguez-Ramos, Univ. de La Laguna (Spain)

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