• DocumentCode
    1384695
  • 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
  • Volume
    43
  • Issue
    6
  • fYear
    1998
  • fDate
    6/1/1998 12:00:00 AM
  • Firstpage
    843
  • Lastpage
    848
  • 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;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.679023
  • Filename
    679023