TY - CHAP
T1 - Algebraic Iterative Reconstruction Methods
AU - Hansen, Per Christian
PY - 2021
Y1 - 2021
N2 - We saw in Chapter 9 that when we discretize a CT reconstruction problem we arrive at a system of linear equations. In most of that chapter we used the notation f for the vector with all the pixel values, but in Section 9.5 we changed the notation for this vector to x in order to be consistent with the massive linear algebra literature. So our system of equations takes the form A x = b, where A is the system matrix, b is the right-hand side, and the vector x is the solution which represents the pixel values of the reconstruction we want to compute.
AB - We saw in Chapter 9 that when we discretize a CT reconstruction problem we arrive at a system of linear equations. In most of that chapter we used the notation f for the vector with all the pixel values, but in Section 9.5 we changed the notation for this vector to x in order to be consistent with the massive linear algebra literature. So our system of equations takes the form A x = b, where A is the system matrix, b is the right-hand side, and the vector x is the solution which represents the pixel values of the reconstruction we want to compute.
U2 - 10.1137/1.9781611976670.ch11
DO - 10.1137/1.9781611976670.ch11
M3 - Book chapter
SN - 978-1-61197-666-3
T3 - Fundamentals of Algorithms
SP - 211
EP - 249
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 -