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 -