Image Processing: Tensor Transform and Discrete Tomography with MATLAB (R)

ISBN-13: 9781138076174 / Angielski / Miękka / 2018 / 466 str.

Artyom M. Grigoryan; Merughan M. Grigoryan

Opis

Focusing on mathematical methods in computer tomography, this book introduces novel approaches to help solve the problem of image reconstruction on the Cartesian lattice. Specifically, it discusses methods of image processing along parallel rays to more accurately reconstruct images from a finite number of projections and avoid overradiating the body during a CT scan. The book presents several new concepts and methods, including methods of transferring the geometry of rays from the plane to the Cartesian lattice, the point map of projections, the particle and its field function, and the statistical model of averaging.

Spis treści

Discrete 2-D Fourier Transform. Direction Images. Image Sampling Along Directions. Main Program of Image Reconstruction. Reconstruction for Prime Size Image. Method of Particles. Methods of Averaging Projections. Bibliography. Appendices. Index.