Reconstruction from limited-angle projections based on delta-u spectrum analysis

This paper proposes a sparse representation of an image using discrete delta-u functions. A delta-u function is defined as the product of a Kronecker delta function and a step function. Based on the sparse representation, we have developed a novel and effective method for reconstructing an image fro...

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Veröffentlicht in:IEEE transactions on image processing : a publication of the IEEE Signal Processing Society. - 1992. - 19(2010), 1 vom: 01. Jan., Seite 131-40
1. Verfasser: Luo, Jianhua (VerfasserIn)
Weitere Verfasser: Li, Wanqing, Zhu, Yuemin
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2010
Zugriff auf das übergeordnete Werk:IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
Schlagworte:Journal Article Research Support, Non-U.S. Gov't
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520 |a This paper proposes a sparse representation of an image using discrete delta-u functions. A delta-u function is defined as the product of a Kronecker delta function and a step function. Based on the sparse representation, we have developed a novel and effective method for reconstructing an image from limited-angle projections. The method first estimates the parameters of the sparse representation from the incomplete projection data, and then directly calculates the image to be reconstructed. Experiments have shown that the proposed method can effectively recover the missing data and reconstruct images more accurately than the total-variation (TV) regularized reconstruction method 
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