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Proceedings Paper

Image reconstruction from limited-angle range projections
Author(s): Nan Du; Yusheng Feng; Artyom M. Grigoryan
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Paper Abstract

This paper describes a new approach for reconstructing images from a finite number of projections. The rayintegrals of the image f(x, y) are transformed uniquely into the ray-sums of the discrete image fn,m on the Cartesian lattice. This transformation allows for calculating the tensor representation of the discrete image, when the image is considered as the sum of direction images, or splitting-signals carrying the spectral information of the image at frequency-points of different subsets that cover the Cartesian lattice. These subsets are intersected and this property of redundancy is used to reduce the angular range of projections. The proposed approach is presented for parallel projections and the continuous model. Preliminary results show very good results of image reconstruction when the angular range scanned is 27° and down to 10°.

Paper Details

Date Published: 19 March 2013
PDF: 15 pages
Proc. SPIE 8668, Medical Imaging 2013: Physics of Medical Imaging, 86683I (19 March 2013); doi: 10.1117/12.2007598
Show Author Affiliations
Nan Du, Univ. of Texas at San Antonio (United States)
Yusheng Feng, Univ. of Texas at San Antonio (United States)
Artyom M. Grigoryan, Univ. of Texas at San Antonio (United States)

Published in SPIE Proceedings Vol. 8668:
Medical Imaging 2013: Physics of Medical Imaging
Robert M. Nishikawa; Bruce R. Whiting; Christoph Hoeschen, Editor(s)

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