Reconstruction As a Set of Linear Equations
http://www.owlnet.rice.edu/~elec539/Projects97/cult/node7.html#SECTION00031000000000000000
It turns out that the process of convolution in the spatial domain is equivalent to a multiplication in the frequency domain. This means that any filtering done by the convolution operation in the normal spatial domain can be performed by a simple multiplication when transformed into the frequency domain.
http://www.physics.ubc.ca/~mirg/home/tutorial/fbp_recon.html
Similar to X-ray Computed Tomography (CT) or Magnetic Resonance Imaging (MRI), Single Photon Emission Computed Tomography (SPECT) allows us to visualize functional information about a patient's specific organ or body system.
Image reconstruction techniques using projection data from transmission method
http://neutra.web.psi.ch/publication/Image_reconstruction.pdf
Algebraic Reconstruction Technique (ART)
http://www.eng.warwick.ac.uk/oel/courses/undergrad/lec13/a_r_t_.htm
Positron emission tomography
http://en.wikipedia.org/wiki/Positron_emission_tomography#Image_reconstruction
Introduction to PET Physics - http://depts.washington.edu/nucmed/IRL/pet_intro/toc.html
Tomographic Image Reconstruction - http://www.aapm.org/meetings/99AM/pdf/2806-57576.pdf
source: http://cobweb.ecn.purdue.edu/VISE/ee438/demos/
Run.m : Matlab script which runs a convolution back-projection demo. A phantom image is generated and the forward projection of the phantom is computed. A back-projection filter is then applied to each projection, and the image is reconstructed. All the following scripts are required.
Phantom.m
: Generates the phantom image.
Project.m
: Computes projections of an image at a specified set of angles.
CBPFilter.m
: Computes the impulse response of the back-projection filter.
BackProj.m
: Computes the back-projection using a specified set of projection angles.
DisplayImg.m
: Displays a grayscale image.
