*** Welcome to piglix ***

Algebraic Reconstruction Technique


The Algebraic Reconstruction Technique (ART) is a class of iterative algorithms used in computed tomography. These reconstruct an image from a series of angular projections (a sinogram). Gordon, Bender and Herman first showed its use in image reconstruction; whereas the method is known as Kaczmarz method in numerical linear algebra.

ART can be considered as an iterative solver of a system of linear equations. The values of the pixels are considered as variables collected in a vector , and the image process is described by a matrix . The measured angular projections are collected in a vector . Given a real or complex matrix and a real or complex vector , respectively, the method computes an approximation of the solution of the linear systems of equations as in the following formula,


...
Wikipedia

...