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Optical Engineering

Moment patterns in the radon space
Author(s): Ramesh R. Galigekere; David W. Holdsworth; M. N. S. Swamy
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Paper Abstract

The notion of moment-patterns in the Radon space is introduced. A moment pattern of order k, in the Radon space, is the set of moments (of order k) associated with the projections of an image. Some of the interesting properties of the moment patterns are studied. A method of rendering the patterns invariant to translation, scaling, and rotation, within the Radon space, is developed. The resulting set of 1-D invariant moment patterns constitutes a descriptor of an object invariant to geometric transformations. When the data is available in the Radon space, as in computed tomography, the invariants can be constructed within the Radon space. An extension of the technique to 3-D is presented.

Paper Details

Date Published: 1 April 2000
PDF: 10 pages
Opt. Eng. 39(4) doi: 10.1117/1.602471
Published in: Optical Engineering Volume 39, Issue 4
Show Author Affiliations
Ramesh R. Galigekere, John P. Robarts Research Institute/Univ. of Western Ontario (Canada)
David W. Holdsworth, John P. Robarts Research Institute (Canada)
M. N. S. Swamy, Concordia University (Canada)

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