Download E-books Image Processing: Tensor Transform and Discrete Tomography with MATLAB ® PDF

By Artyom M. Grigoryan

Focusing on mathematical equipment in computing device tomography, Image Processing: Tensor remodel and Discrete Tomography with MATLAB® introduces novel ways to assist in fixing the matter of photo reconstruction at the Cartesian lattice. particularly, it discusses tools of snapshot processing alongside parallel rays to extra quick and thoroughly reconstruct pictures from a finite variety of projections, thereby heading off overradiation of the physique in the course of a computed tomography (CT) scan.

The booklet provides a number of new principles, thoughts, and strategies, lots of that have no longer been released in different places. New suggestions contain tools of shifting the geometry of rays from the aircraft to the Cartesian lattice, the purpose map of projections, the particle and its box functionality, and the statistical version of averaging. The authors offer quite a few examples, MATLAB®-based courses, end-of-chapter difficulties, and experimental result of implementation.

The major method for photo reconstruction proposed through the authors differs from current equipment of back-projection, iterative reconstruction, and Fourier and Radon filtering. during this publication, the authors clarify the right way to approach every one projection via a process of linear equations, or linear convolutions, to calculate the corresponding a part of the 2-D tensor or paired remodel of the discrete photo. They then describe tips on how to calculate the inverse rework to procure the reconstruction. The proposed versions for snapshot reconstruction from projections are easy and bring about extra exact reconstructions.

Introducing a brand new concept and strategies of snapshot reconstruction, this ebook offers a pretty good grounding for these attracted to additional learn and in acquiring new effects. It encourages readers to advance powerful functions of those equipment in CT.

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