PROJECTION SPACE MAP METHOD FOR LIMITED ANGLE RECONSTRUCTION.

Jerry Ladd Prince, Alan S. Willsky

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

Abstract

A method is presented for reconstructing images from finite sets of noisy projections which are available only over limited or sparse angles. The method solves a constrained optimization problem to find a maximum a posteriori estimate of the full 2-D Radon transform of the object, using prior knowledge of object mass, center of mass, and convex support, and information about fundamental constraints and smoothness of the Radon transform. This efficient primal-dual algorithm consists of an iterative local relaxation stage which solves a partial differential equation in Radon space, followed by a simple Lagrange multiplier update stage. The object is reconstructed using convolution backprojection applied to the Radon transform estimate.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
PublisherIEEE
Pages1268-1271
Number of pages4
StatePublished - 1988
Externally publishedYes

Fingerprint

Radon
radon
projection
Lagrange multipliers
Constrained optimization
estimates
Convolution
convolution integrals
partial differential equations
Partial differential equations
center of mass
optimization

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

Prince, J. L., & Willsky, A. S. (1988). PROJECTION SPACE MAP METHOD FOR LIMITED ANGLE RECONSTRUCTION. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (pp. 1268-1271). IEEE.

PROJECTION SPACE MAP METHOD FOR LIMITED ANGLE RECONSTRUCTION. / Prince, Jerry Ladd; Willsky, Alan S.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. IEEE, 1988. p. 1268-1271.

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

Prince, JL & Willsky, AS 1988, PROJECTION SPACE MAP METHOD FOR LIMITED ANGLE RECONSTRUCTION. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. IEEE, pp. 1268-1271.
Prince JL, Willsky AS. PROJECTION SPACE MAP METHOD FOR LIMITED ANGLE RECONSTRUCTION. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. IEEE. 1988. p. 1268-1271
Prince, Jerry Ladd ; Willsky, Alan S. / PROJECTION SPACE MAP METHOD FOR LIMITED ANGLE RECONSTRUCTION. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. IEEE, 1988. pp. 1268-1271
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