Image reconstruction from limited-angle range projections

Nan Du; Yusheng Feng; Artyom M. Grigoryan

doi:10.1117/12.2007598

19 March 2013 Image reconstruction from limited-angle range projections

Nan Du, Yusheng Feng, Artyom M. Grigoryan

Proceedings Volume 8668, Medical Imaging 2013: Physics of Medical Imaging; 86683I (2013) https://doi.org/10.1117/12.2007598
Event: SPIE Medical Imaging, 2013, Lake Buena Vista (Orlando Area), Florida, United States

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 f_n,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°.

Citation Download Citation

Nan Du, Yusheng Feng, and Artyom M. Grigoryan "Image reconstruction from limited-angle range projections", Proc. SPIE 8668, Medical Imaging 2013: Physics of Medical Imaging, 86683I (19 March 2013); https://doi.org/10.1117/12.2007598

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