ABSTRACT
Introduction The mathematical basis of X-ray image reconstruction dates back to 1917, when Radon,1 an Austrian mathematician, published an analytic solution to the problem of reconstructing an object from multiple projections. The actual application of mathematical image reconstruction techniques of radiographic medical imaging was first reported in 1961 by Oldendorf,2 and the first clinical computerized tomography was developed by the Nobel laureate, Sir Godfrey N Hounsfield. He applied the early mathematical theories to reconstruct the internal structure of the body from a number of different X-ray measurements, using a translate/rotate process, that was repeated until the entire circumference of the body was scanned.3-5 Since then, computed tomography (CT) has become one of the most important imaging technologies using X-rays.
