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Proceedings Paper

Method of G-particles for image reconstruction from a finite number of projections
Author(s): Artyom M. Grigoryan; Nan Du
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Paper Abstract

To reconstruct the image from a finite number of projections, the concept of the point map of projections is described. Each projection is described by the corresponding set of line-integrals along a finite set of rays. The image element with its geometry is considered as a particle, or G-particle which is described by the field function. The map of each particle is considered in the form of a matrix which describes all rays passing through this particle. The concept of the field functions of particles is described as a number of rays passing through the particles with others at the same time. The consideration of the field functions for these G-particles leads to a representation of the image by the field functions, and this representation allows for reconstructing the image from its projections. The reconstruction fn,m of the image f(x, y) on the 64×64 and 128×128 Cartesian lattices by the method of G-particles is demonstrated on the images with random rectangles.

Paper Details

Date Published: 7 March 2013
PDF: 15 pages
Proc. SPIE 8667, Multimedia Content and Mobile Devices, 866719 (7 March 2013); doi: 10.1117/12.2000482
Show Author Affiliations
Artyom M. Grigoryan, The Univ. of Texas at San Antonio (United States)
Nan Du, The Univ. of Texas at San Antonio (United States)


Published in SPIE Proceedings Vol. 8667:
Multimedia Content and Mobile Devices
Reiner Creutzburg; Todor G. Georgiev; Dietmar Wüller; Cees G. M. Snoek; Kevin J. Matherson; David Akopian; Andrew Lumsdaine; Lyndon S. Kennedy, Editor(s)

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