Moment patterns in the Radon space

R. R. Galigekere, D. W. Holdsworth, M. N S Swamy, Aaron Fenster

Research output: Contribution to journalArticle

32 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1088-1097
Number of pages10
JournalOptical Engineering
Volume39
Issue number4
DOIs
Publication statusPublished - 01-04-2000

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Radon
radon
moments
Tomography
tomography
projection
scaling

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Engineering(all)

Cite this

Galigekere, R. R., Holdsworth, D. W., Swamy, M. N. S., & Fenster, A. (2000). Moment patterns in the Radon space. Optical Engineering, 39(4), 1088-1097. https://doi.org/10.1117/1.602471
Galigekere, R. R. ; Holdsworth, D. W. ; Swamy, M. N S ; Fenster, Aaron. / Moment patterns in the Radon space. In: Optical Engineering. 2000 ; Vol. 39, No. 4. pp. 1088-1097.
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Galigekere, RR, Holdsworth, DW, Swamy, MNS & Fenster, A 2000, 'Moment patterns in the Radon space', Optical Engineering, vol. 39, no. 4, pp. 1088-1097. https://doi.org/10.1117/1.602471

Moment patterns in the Radon space. / Galigekere, R. R.; Holdsworth, D. W.; Swamy, M. N S; Fenster, Aaron.

In: Optical Engineering, Vol. 39, No. 4, 01.04.2000, p. 1088-1097.

Research output: Contribution to journalArticle

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Galigekere RR, Holdsworth DW, Swamy MNS, Fenster A. Moment patterns in the Radon space. Optical Engineering. 2000 Apr 1;39(4):1088-1097. https://doi.org/10.1117/1.602471