Fourier–Zernike Series of Convolutions on Disks

Arash Ghaani Farashahi; Gregory  S. Chirikjian

doi:10.3390/math6120290

Mathematics (Nov 2018)

Fourier–Zernike Series of Convolutions on Disks

Arash Ghaani Farashahi,
Gregory S. Chirikjian

Affiliations

Arash Ghaani Farashahi: Laboratory for Computational Sensing and Robotics (LCSR), Whiting School of Engineering, Johns Hopkins University, Baltimore, MD 21218-2608, USA
Gregory S. Chirikjian: Laboratory for Computational Sensing and Robotics (LCSR), Whiting School of Engineering, Johns Hopkins University, Baltimore, MD 21218-2608, USA

DOI: https://doi.org/10.3390/math6120290
Journal volume & issue: Vol. 6, no. 12
p. 290

Abstract

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This paper presents a systematic study of the analytic aspects of Fourier⁻Zernike series of convolutions of functions supported on disks. We then investigate different aspects of the presented theory in the cases of zero-padded functions.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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