F. Stenger et Mj. Oreilly, COMPUTING SOLUTIONS TO MEDICAL PROBLEMS VIA SINC CONVOLUTION, IEEE transactions on automatic control, 43(6), 1998, pp. 843-848
In this paper we illustrate some novel procedures of using Sine method
s to compute solutions to three types of medical problems. The first o
f these is a novel way to solve optimal control problems, the second i
s an original way to reconstruct images for X-ray tomography, and the
third is a novel way to do ultrasonic tomography inversion. Each of th
ese procedures uses Sine convolution, which is a novel computational p
rocedure for obtaining accurate approximations to-indefinite convoluti
ons.