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.
Alecu, A, Munteanu, A, Pizurica, A, Philips, W, Cornelis, J & Schelkens, P 2006, Information-Theoretic Analysis of Dependencies between Curvelet Coefficients. in Ieee (ed.), IEEE International Conference on Image Processing, ICIP 2006, Atlanta, USA, October 8-11, 2006. pp. 1617-1620, Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet, Stockholm, Sweden, 21/09/09.
Alecu, A., Munteanu, A., Pizurica, A., Philips, W., Cornelis, J., & Schelkens, P. (2006). Information-Theoretic Analysis of Dependencies between Curvelet Coefficients. In Ieee (Ed.), IEEE International Conference on Image Processing, ICIP 2006, Atlanta, USA, October 8-11, 2006 (pp. 1617-1620)
@inproceedings{41a44822f4bf412689c81b9a8458ef2c,
title = "Information-Theoretic Analysis of Dependencies between Curvelet Coefficients",
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.",
keywords = "curvelets, mutual information, coefficient dependencies",
author = "Alin Alecu and Adrian Munteanu and Alexandra Pizurica and Wilfried Philips and Jan Cornelis and Peter Schelkens",
note = "IEEE; Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet ; Conference date: 21-09-2009 Through 25-09-2009",
year = "2006",
month = oct,
day = "8",
language = "English",
pages = "1617--1620",
editor = "Ieee",
booktitle = "IEEE International Conference on Image Processing, ICIP 2006, Atlanta, USA, October 8-11, 2006",
}