ICIP 2006, Atlanta, GA
 

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Paper Detail

Paper:TA-P8.9
Session:Wavelets and Filter Banks
Time:Tuesday, October 10, 09:40 - 12:20
Presentation: Poster
Topic: Image & Video Multiresolution Processing: Wavelets
Title: INFORMATION-THEORETIC ANALYSIS OF DEPENDENCIES BETWEEN CURVELET COEFFICIENTS
Authors: Alin Alecu; Vrije Universiteit Brussel 
 Adrian Munteanu; Vrije Universiteit Brussel 
 Aleksandra Pizurica; Ghent University 
 Wilfried Philips; Ghent University 
 Jan Cornelis; Vrije Universiteit Brussel 
 Peter Schelkens; Vrije Universiteit Brussel 
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.