Sum-of-Superellipses - A low parameter model for amplitude spectra of natural images

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. © 2011 Springer-Verlag.