Chapter 9: Discretization Models and the System Matrix
Society for Industrial and Applied Mathematics eBooks, pp. 155–181
Abstract
In this chapter, we describe how the tomography problem can be represented on a computer such that we—in later chapters—can perform numerical computations to analyze and solve the reconstruction problem. This process is called discretization, and it is applied to the object under study as well as to the forward- and back-projections. We focus on the 2D parallel-beam geometry and the Radon transform, but the ideas extend to other geometries and 3D problems in a straightforward way.
Authors 3
-
K. Joost Batenburg Aachen
Leiden University · Technical University of Denmark
Affiliation as printed
Leiden University, Leiden, Netherlands
Technical University of Denmark
Technical University of Denmark, Kongens Lyngby, Denmark
-
Per Christian Hansen Aachen
Leiden University · Technical University of Denmark
Affiliation as printed
Leiden University, Leiden, Netherlands
Technical University of Denmark
Technical University of Denmark, Kongens Lyngby, Denmark
Technical University of Denmark, Department of Applied Mathematics and Computer Science, DK
-
Jakob Sauer Jørgensen Aachen
Leiden University · Technical University of Denmark
Affiliation as printed
Leiden University, Leiden, Netherlands
Technical University of Denmark
Technical University of Denmark, Kongens Lyngby, Denmark
Technical University of Denmark, Department of Applied Mathematics and Computer Science, DK
Cited by 0 stored of 0
No patents citing this paper on Lens.org (checked 2026-10-11).