Title :
Enhancing sparsity using gradients for compressive sensing
Author :
Patel, Vishal M. ; Easley, Glenn R. ; Chellappa, Rama ; Healy, Dennis M., Jr.
Author_Institution :
Univ. of Maryland, College Park, MD, USA
Abstract :
In this paper, we propose a reconstruction method that recovers images assumed to have a sparse representation in a gradient domain by using partial measurement samples that are collected in the Fourier domain. A key improvement of this technique is that it makes use of a robust generalized Poisson solver that greatly aids in achieving a significantly improved performance over similar proposed methods. Experiments provided also demonstrate that this new technique is more flexible to work with either random or restricted sampling scenarios better than its competitors.
Keywords :
Fourier analysis; gradient methods; image reconstruction; image representation; sampling methods; Fourier domain; compressive sensing; enhancing sparsity; gradient domain; image reconstruction; partial measurement samples; robust generalized Poisson solver; sampling scenarios; sparse representation; Compressed sensing; Educational institutions; Fourier transforms; Image coding; Image reconstruction; Image sampling; Magnetic resonance imaging; Matching pursuit algorithms; Reconstruction algorithms; Robustness; GradientOMP; compressed sensing; compressive sensing;
Conference_Titel :
Image Processing (ICIP), 2009 16th IEEE International Conference on
Conference_Location :
Cairo
Print_ISBN :
978-1-4244-5653-6
Electronic_ISBN :
1522-4880
DOI :
10.1109/ICIP.2009.5414411