Paper Info
Title
Bayesian compressed sensing imaging using a Gaussian Scale Mixture
Abstract
The ease of image storage and transmission in modern applications would be unfeasible without compression, which converts high-resolution images into a relatively small set of significant transform coefficients. Due to the specific content of many real-world images they are highly sparse in an appropriate orthonormal basis. The inherent property of compressed sensing (CS) the- ory working simultaneously as a sensing and compression protocol, using a small subset of random incoherent projection coefficients, enables a poten- tially significant reduction in the sampling and computation costs of images favoring its use in real-time applications which do not require an excellent reconstruction performance. In this paper, we develop a Bayesian CS (BCS) approach for obtaining highly sparse representations of images based on a set of noisy CS measurements, where the prior belief that the vector of pro- jection coefficients should be sparse is enforced by fitting directly its prior probability distribution by means of a Gaussian Scale Mixture (GSM). The experimental results show that our proposed method, when compared with norm-based constrained optimization algorithms, maintains the reconstruc- tion performance, in terms of the reconstruction error and the PSNR, while achieving an increased sparsity using much less basis functions.
Year
DOI
Venue
2010
10.1109/ICASSP.2010.5495397
Acoustics Speech and Signal Processing
Keywords
Field
DocType
data compression,image coding,Bayesian compressed sensing imaging,Gaussian scale mixture,image storage,image transmission,probability distribution,random incoherent projection coefficients,sparse representations
Iterative reconstruction,Pattern recognition,Computer science,Probability distribution,Orthonormal basis,Basis function,Artificial intelligence,Data compression,Prior probability,Compressed sensing,Constrained optimization
Conference
ISSN
ISBN
Citations 
1520-6149 E-ISBN : 978-1-4244-4296-6
978-1-4244-4296-6
3
PageRank 
References 
Authors
0.43
9
2
Name
Order
Citations
PageRank
George Tzagkarakis113917.94
P. Tsakalides2954120.69