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A quantitative criterion for selecting the optimal sparse representation of dynamic cardiac data in compresses MRI

Abstract : One of the important performance factors in compressed sensing (CS) reconstructions is the level of sparsity in sparse representation of the signal. The goal in CS is to find the sparsest representation of the underlying signal or image. However, for compressible or nearly sparse signals such as dynamic cardiac MR data, the quantification of sparsity is quite subjective due to issues such as dropped SNR or low contrast to noise ratio (CNR) in sparse domains such as x-f space or temporal difference domains. Hence, we need a criterion to compare different sparse representations of compressible signals. In this paper, we define a model that can fit the decay of practical compressible signals and as an application; we verify that this model can be used as a basis for selecting the optimal sparse representation of dynamic cardiac MR data.
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https://hal.inria.fr/inria-00369561
Contributor : Ist Rennes <>
Submitted on : Friday, March 20, 2009 - 12:15:54 PM
Last modification on : Thursday, April 19, 2018 - 2:24:03 PM
Long-term archiving on: : Thursday, June 10, 2010 - 5:39:47 PM

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  • HAL Id : inria-00369561, version 1

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Muhammad Usman, Philipp G. Batchelor. A quantitative criterion for selecting the optimal sparse representation of dynamic cardiac data in compresses MRI. SPARS'09 - Signal Processing with Adaptive Sparse Structured Representations, Inria Rennes - Bretagne Atlantique, Apr 2009, Saint Malo, France. ⟨inria-00369561⟩

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