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Reconstruction methods in image processing  Image reconstruction
techniques are used to create 2-D and 3-D images from sets of
1-D projections. These reconstruction techniques form the basis
for common imaging modalities such as CT, MRI, and PET, and they
are useful in medicine, biology, earth science, archaeology,
materials science, and nondestructive testing.  The mathematical
foundation for these reconstruction methods are the Radon
transform, the inverse Radon transform, and the projection slice
theorem. Computational techniques include filtered
backprojection and a variety of iterative methods. Several
projection geometries are commonly used, including parallel
beam, fan beam, and cone beam. The Shepp-Logan phantom image is
often used to evaluate different reconstruction algorithms.
Radon reconstruction using the Shepp-Logan phantom image Radon
reconstruction using the Shepp-Logan phantom image  An effective
approach to performing image reconst