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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 2, Iss. 6 — Mar. 16, 1998
  • pp: 254–260

Decomposition of images and objects into measurement and null components

D.W. Wilson and H.H. Barrett  »View Author Affiliations

Optics Express, Vol. 2, Issue 6, pp. 254-260 (1998)

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We derive and discuss an algorithm for separating measurement-and null-space components of an object with respect to a given imaging system. This algorithm requires a discrete-to-discrete approximation of a typically continuous-to-discrete imaging system, and problems associated with such an approximation are examined. Situations where knowledge of the measurement and null spaces is crucial for analyzing imaging systems are discussed. We conclude with two examples demonstrating the usefulness of this algorithm, even in the discrete-to-discrete approximation.

© Optical Society of America

OCIS Codes
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography

ToC Category:
Focus Issue: Tomographic image reconstruction

Original Manuscript: December 9, 1997
Published: March 16, 1998

Donald Wilson and Harrison Barrett, "Decomposition of images and objects into measurement and null components," Opt. Express 2, 254-260 (1998)

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