A method of image reconstruction using spline harmonics

W. K. Cheung, G. T. Herman, Arnold 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
Title of host publicationProceedings of the Annual Conference on Engineering in Medicine and Biology
Place of PublicationPiscataway, NJ, United States
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

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

Fingerprint

Image reconstruction
Splines
Radon
Sobolev spaces

ASJC Scopus subject areas

  • Bioengineering

Cite this

Cheung, W. K., Herman, G. T., & Markoe, A. (1990). A method of image reconstruction using spline harmonics. In Proceedings of the Annual Conference on Engineering in Medicine and Biology (pt 1 ed., pp. 381-382). Piscataway, NJ, United States: Publ by IEEE.

A method of image reconstruction using spline harmonics. / Cheung, W. K.; Herman, G. T.; Markoe, Arnold.

Proceedings of the Annual Conference on Engineering in Medicine and Biology. pt 1. ed. Piscataway, NJ, United States : Publ by IEEE, 1990. p. 381-382.

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

Cheung, WK, Herman, GT & Markoe, A 1990, A method of image reconstruction using spline harmonics. in Proceedings of the Annual Conference on Engineering in Medicine and Biology. pt 1 edn, Publ by IEEE, Piscataway, NJ, United States, pp. 381-382, Proceedings of the 12th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Philadelphia, PA, USA, 11/1/90.
Cheung WK, Herman GT, Markoe A. A method of image reconstruction using spline harmonics. In Proceedings of the Annual Conference on Engineering in Medicine and Biology. pt 1 ed. Piscataway, NJ, United States: Publ by IEEE. 1990. p. 381-382
Cheung, W. K. ; Herman, G. T. ; Markoe, Arnold. / A method of image reconstruction using spline harmonics. Proceedings of the Annual Conference on Engineering in Medicine and Biology. pt 1. ed. Piscataway, NJ, United States : Publ by IEEE, 1990. pp. 381-382
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