Prior rank, intensity and sparsity model (PRISM): a divide-and-conquer matrix decomposition model with low-rank coherence and sparse variation

H. Gao

doi:10.1117/12.957237

17 October 2012 Prior rank, intensity and sparsity model (PRISM): a divide-and-conquer matrix decomposition model with low-rank coherence and sparse variation

H. Gao

Author Affiliations +

Proceedings Volume 8506, Developments in X-Ray Tomography VIII; 85060Y (2012) https://doi.org/10.1117/12.957237
Event: SPIE Optical Engineering + Applications, 2012, San Diego, California, United States

Abstract

4D spatiotemporal images can be naturally divided into the background component, which is temporally coherent, and the motion component, which is spatially sparse, up to the proper basis. And this divide-and-conquer decomposition is an effective sparse representation of 4D images for the purpose of image reconstruction. Based on this prior fact, we introduce Prior Rank, Intensity and Sparsity Model (PRISM): the temporal coherence of the background component is enforced by the rank regularization and the spatial sparsity of the motion component is promoted by the sparsity regularization. In particular, the framelet based PRISM with the multi-resolution and multi-filtered structure will be utilized for image reconstruction. The superior performance of PRISM will be demonstrated with a few new medical imaging applications, including 4D cone beam CT, spiral MRI, and fused MRI-CT multi-modality.

Citation Download Citation

H. Gao "Prior rank, intensity and sparsity model (PRISM): a divide-and-conquer matrix decomposition model with low-rank coherence and sparse variation", Proc. SPIE 8506, Developments in X-Ray Tomography VIII, 85060Y (17 October 2012); https://doi.org/10.1117/12.957237

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