Sum-of-superellipses: a low parameter model for amplitude spectra of natural images

Authors:
Marcel Spehr;Stefan Gumhold;Roland W. Fleming
Affiliations:
Technische Universität Dresden, Inst. of Software- and Multimedia-Technology, Computer Graphics and Visualization lab, Dresden, Germany;Technische Universität Dresden, Inst. of Software- and Multimedia-Technology, Computer Graphics and Visualization lab, Dresden, Germany;University of Giessen, Dept. of Psychology, Giessen, Germany
Venue:
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
Year:
2011

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Abstract

Amplitude spectra of natural images look surprisingly alike. Their shape is governed by the famous 1/f power law. In this work we propose a novel low parameter model for describing these spectra. The Sum-of-Superellipses conserves their common falloff behavior while simultaneously capturing the dimensions of variation--concavity, isotropy, slope, main orientation--in a small set of meaningful illustrative parameters. We demonstrate its general usefulness in standard computer vision tasks like scene recognition and image compression.