Information-Theoretic Analysis of Dependencies between Curvelet Coefficients

Alin Alecu, Adrian Munteanu, Alexandra Pizurica, Wilfried Philips, Jan Cornelis, Peter Schelkens

Research output: Chapter in Book/Report/Conference proceedingConference paper

18 Citations (Scopus)

Abstract

This paper reports an information-theoretic analysis of the inter-scale, inter-orientation and inter-location dependencies that exist between curvelet coefficients. We show that the marginal statistics of these coefficients can be accurately modeled using generalized Gaussian density functions. Though generally decorrelated, we find that curvelets exhibit unusually high dependencies in intra-band local micro-neighborhoods, of a magnitude not found for instance in classical wavelets. Furthermore, dependencies are subject to and decrease with increasing orientation and location differences. Finally, we conclude that intra-band coefficient dependencies are stronger than either their inter-scale or inter-direction counterparts.
Original languageEnglish
Title of host publicationIEEE International Conference on Image Processing, ICIP 2006, Atlanta, USA, October 8-11, 2006
Editors Ieee
Pages1617-1620
Number of pages4
Publication statusPublished - 8 Oct 2006
EventFinds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet - Stockholm, Sweden
Duration: 21 Sep 200925 Sep 2009

Conference

ConferenceFinds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet
Country/TerritorySweden
CityStockholm
Period21/09/0925/09/09

Bibliographical note

IEEE

Keywords

  • curvelets
  • mutual information
  • coefficient dependencies

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