TY - CHAP

T1 - Discretization Models and the System Matrix

AU - Batenburg, K.J.

AU - Hansen, Per Christian

AU - Jørgensen, Jakob Sauer

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

U2 - 10.1137/1.9781611976670.ch9

DO - 10.1137/1.9781611976670.ch9

M3 - Book chapter

SN - 978-1-61197-666-3

T3 - Fundamentals of Algorithms

SP - 155

EP - 181

BT - Computed Tomography: Algorithms, Insight, and Just Enough Theory

A2 - Hansen, Per Christian

A2 - Jørgensen, Jakob Sauer

A2 - Lionheart, William R. B.

PB - Society for Industrial and Applied Mathematics

ER -