Novel tensor transform-based method of image reconstruction from limited-angle projection data

Artyom M. Grigoryan; Nan Du

doi:10.1117/12.2038255

7 March 2014 Novel tensor transform-based method of image reconstruction from limited-angle projection data

Artyom M. Grigoryan, Nan Du

Proceedings Volume 9020, Computational Imaging XII; 90200F (2014) https://doi.org/10.1117/12.2038255
Event: IS&T/SPIE Electronic Imaging, 2014, San Francisco, California, United States

Abstract

The tensor representation is an effective way to reconstruct the image from a finite number of projections, especially, when projections are limited in a small range of angles. The image is considered in the image plane and reconstruction is in the Cartesian lattice. This paper introduces a new approach for calculating the splittingsignals of the tensor transform of the discrete image f(x_i, _yj) from a fine number of ray-integrals of the real image f(x, y). The properties of the tensor transform allows for calculating a large part of the 2-D discrete Fourier transform in the Cartesian lattice and obtain high quality reconstructions, even when using a small range of projections, such as [0°, 30°) and down to [0°, 20°). The experimental results show that the proposed method reconstructs images more accurately than the known method of convex projections and filtered backprojection.

Citation Download Citation

Artyom M. Grigoryan and Nan Du "Novel tensor transform-based method of image reconstruction from limited-angle projection data", Proc. SPIE 9020, Computational Imaging XII, 90200F (7 March 2014); https://doi.org/10.1117/12.2038255

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