Title :
Computing solutions to medical problems via Sinc convolution
Author :
Stenger, Frank ; O´Reilly, Michael J.
Author_Institution :
Dept. of Comput. Sci., Utah Univ., Salt Lake City, UT, USA
fDate :
6/1/1998 12:00:00 AM
Abstract :
We illustrate some novel procedures of using Sinc methods to compute solutions to three types of medical problems. The first of these is a novel way to solve optimal control problems, the second is an original way to reconstruct images for X-ray tomography, and the third is a novel way to do ultrasonic tomography inversion. Each of these procedures uses Sinc convolution, which is a novel computational procedure for obtaining accurate approximations to indefinite convolutions
Keywords :
computerised tomography; convolution; image reconstruction; inverse problems; medical image processing; optimal control; transforms; ultrasonic imaging; Sinc convolution; X-ray tomography; image reconstruction; inverse problems; optimal control; surgical robots; ultrasonic tomography inversion; Approximation algorithms; Biomedical imaging; Cities and towns; Convolution; Inverse problems; Laplace equations; Optimal control; Partial differential equations; Robots; X-ray tomography;
Journal_Title :
Automatic Control, IEEE Transactions on