Sum-of-Superellipses – A Low Parameter Model for Amplitude Spectra of Natural Images

  • Marcel Spehr
  • Stefan Gumhold
  • Roland W. Fleming
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6978)


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.


Natural images image statistics amplitude spectrum Lamé curve superellipse image retrieval 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Marcel Spehr
    • 1
  • Stefan Gumhold
    • 1
  • Roland W. Fleming
    • 2
  1. 1.Inst. of Software- and Multimedia-Technology, Computer Graphics and Visualization (CGV) labTechnische Universität DresdenDresdenGermany
  2. 2.Dept. of PsychologyUniversity of GiessenGiessenGermany

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