Linear and Nonlinear Inverse Problems with Practical ApplicationsJennifer L. Mueller and Samuli Siltanen |
Matrix-free X-ray Tomography
This page contains the computational Matlab files related to the book, which you can purchase in the SIAM Bookstore.
Here we solve tomographic problems without constructing the measurement matrix A at all.
Simulate tomographic data without inverse crime
This routine uses the radon.m function of Matlab's Image processing toolbox to create a sinogram:
Compute reconstruction using filtered back-projection
Compute reconstruction using matrix-free iterative Tikhonov regularization
XRC_Tikhonov_comp.m
XRC_Tikhonov_plot.m
Compute reconstruction using matrix-free iterative (approximate) total variation regularization
Here are the main computation and plot routines:
You will also need these files:
XR_aTV_feval.m
XR_aTV_fgrad.m
XR_aTV_grad.m
XR_aTV.m
XR_misfit_grad.m
XR_misfit.m