Cauchy Aperture and Perfect Reconstruction Filters for Extending Depth-of-Field from Focal Stack

Akira KUBOTA  Kazuya KODAMA  Asami ITO  

IEICE TRANSACTIONS on Information and Systems   Vol.E102-D   No.11   pp.2093-2100
Publication Date: 2019/11/01
Publicized: 2019/08/16
Online ISSN: 1745-1361
DOI: 10.1587/transinf.2019PCP0006
Type of Manuscript: Special Section PAPER (Special Section on Picture Coding and Image Media Processing)
extended depth-of-field,  focal stack,  aperture,  perfect reconstruction filters,  image fusion,  

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A pupil function of aperture in image capturing systems is theoretically derived such that one can perfectly reconstruct all-in-focus image through linear filtering of the focal stack. The perfect reconstruction filters are also designed based on the derived pupil function. The designed filters are space-invariant; hence the presented method does not require region segmentation. Simulation results using synthetic scenes shows effectiveness of the derived pupil function and the filters.