Moment patterns in the Radon space

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

doi:10.1117/1.602471

Moment patterns in the Radon space

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 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 language	English
Pages (from-to)	1088-1097
Number of pages	10
Journal	Optical Engineering
Volume	39
Issue number	4
DOIs	https://doi.org/10.1117/1.602471
Publication status	Published - 01-04-2000

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
General Engineering

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AU - Galigekere, R. R.

AU - Holdsworth, D. W.

AU - Swamy, M. N S

AU - Fenster, Aaron

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Y1 - 2000/4/1

N2 - 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.

AB - 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.

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JO - Optical Engineering

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Moment patterns in the Radon space

Abstract

All Science Journal Classification (ASJC) codes

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