Moment patterns in the Radon space: Invariance to blur

Ramesh R. Galigekere, M. N S Swamy

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Previously, we introduced the idea of moment patterns in the Radon space and described normalization procedures to render the patterns invariant to translation, rotation, and amplitude and geometric scaling. We extend our work toward rendering the patterns invariant also to blurring, which is modeled as a convolution by a linear shift-invariant filter. This is achieved by considering blur-invariant functions of the central moments of the projections, and normalizing them to eliminate the effects of both amplitude and geometric scaling. Results of simulation are presented to demonstrate the invariance of the new moment-based functions in the Radon space to translation, rotation, amplitude and geometric scaling, and blur.

Original languageEnglish
Article number077003
JournalOptical Engineering
Volume45
Issue number7
DOIs
Publication statusPublished - 01-07-2006

Fingerprint

Radon
Invariance
radon
invariance
moments
scaling
Convolution
normalizing
blurring
convolution integrals
projection
filters
shift
simulation

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

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Moment patterns in the Radon space : Invariance to blur. / Galigekere, Ramesh R.; Swamy, M. N S.

In: Optical Engineering, Vol. 45, No. 7, 077003, 01.07.2006.

Research output: Contribution to journalArticle

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