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» On Sparsity and Overcompleteness in Image Models
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ICIP
2003
IEEE
14 years 7 months ago
Redundant representation with complex wavelets: how to achieve sparsity
Overcomplete transforms, like the Dual-Tree Complex Wavelet Transform, offer more flexible signal representations than critically-sampled transforms, due to their properties of sh...
Nick G. Kingsbury, Tanya Reeves
ICA
2004
Springer
13 years 10 months ago
Postnonlinear Overcomplete Blind Source Separation Using Sparse Sources
Abstract. We present an approach for blindly decomposing an observed random vector x into f(As) where f is a diagonal function i.e. f = f1 × . . . × fm with one-dimensional funct...
Fabian J. Theis, Shun-ichi Amari
ICIP
2009
IEEE
14 years 6 months ago
Sparsity And Morphological Diversity For Hyperspectral Data Analysis
Recently morphological diversity and sparsity have emerged as new and effective sources of diversity for Blind Source Separation. Based on these new concepts, novel methods such a...
ICIP
2009
IEEE
14 years 6 months ago
Image Restoration By Mixture Modelling Of An Overcomplete Linear Representation
We present a new image restoration method based on modelling the coefficients of an overcomplete wavelet response to natural images with a mixture of two Gaussian distributions, h...
ICASSP
2008
IEEE
13 years 12 months ago
Insights into the stable recovery of sparse solutions in overcomplete representations using network information theory
In this paper, we examine the problem of overcomplete representations and provide new insights into the problem of stable recovery of sparse solutions in noisy environments. We es...
Yuzhe Jin, Bhaskar D. Rao