Method of G-particles for image reconstruction from a finite number of projections

Artyom M. Grigoryan; Nan Du

doi:10.1117/12.2000482

7 March 2013 Method of G-particles for image reconstruction from a finite number of projections

Artyom M. Grigoryan, Nan Du

Proceedings Volume 8667, Multimedia Content and Mobile Devices; 866719 (2013) https://doi.org/10.1117/12.2000482
Event: IS&T/SPIE Electronic Imaging, 2013, Burlingame, California, United States

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 f_n,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.

Citation Download Citation

Artyom M. Grigoryan and Nan Du "Method of G-particles for image reconstruction from a finite number of projections", Proc. SPIE 8667, Multimedia Content and Mobile Devices, 866719 (7 March 2013); https://doi.org/10.1117/12.2000482

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