A method of image reconstruction using spline harmonics

W. K. Cheung, G. T. Herman, A. Markoe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An approach to image reconstruction using spline harmonics is formulated. It is shown that a function whose Radon transform is a spline harmonic can be recovered using a closed-form expression from the finite number of expansion coefficients describing the spline harmonic. The significance of this result comes from the fact that, in the appropriate Sobolev spaces, the spline harmonics are dense in the range of the Radon transform and the inverse Radon transform is continuous. Thus, one can expect to fit actual projection data with a spline harmonic as tightly as is justified by the noise in the data and then have the resulting reconstruction be consistent with the data. The authors outline the derivation of the main formulae in this approach and discuss the constraints and considerations applicable to the various parameters used.

Original languageEnglish (US)
Title of host publicationBiomedical Engineering Perspectives
Subtitle of host publicationHealth Care Technologies for the 1990's and Beyond
PublisherPubl by IEEE
Pages381-382
Number of pages2
Editionpt 1
ISBN (Print)0879425598
StatePublished - Dec 1 1990
Externally publishedYes
EventProceedings of the 12th Annual International Conference of the IEEE Engineering in Medicine and Biology Society - Philadelphia, PA, USA
Duration: Nov 1 1990Nov 4 1990

Publication series

NameProceedings of the Annual Conference on Engineering in Medicine and Biology
Numberpt 1
ISSN (Print)0589-1019

Other

OtherProceedings of the 12th Annual International Conference of the IEEE Engineering in Medicine and Biology Society
CityPhiladelphia, PA, USA
Period11/1/9011/4/90

ASJC Scopus subject areas

  • Signal Processing
  • Biomedical Engineering
  • Computer Vision and Pattern Recognition
  • Health Informatics

Fingerprint Dive into the research topics of 'A method of image reconstruction using spline harmonics'. Together they form a unique fingerprint.

  • Cite this

    Cheung, W. K., Herman, G. T., & Markoe, A. (1990). A method of image reconstruction using spline harmonics. In Biomedical Engineering Perspectives: Health Care Technologies for the 1990's and Beyond (pt 1 ed., pp. 381-382). (Proceedings of the Annual Conference on Engineering in Medicine and Biology; No. pt 1). Publ by IEEE.