Polynomial expansion for shift- and one- or two-dimensional scale-invariant pattern recognition

Zeev Zalevsky, David Mendlovic

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A polynomial expansion is suggested for achieving optical invariant pattern recognition. The expansion results in a real function and thus is theoretically able to be implemented under both coherent and spatially incoherent illumination. One obtains the expansion after applying the Gram–Schmidt algorithm on the Laurent’s series in order to achieve orthonormality. The initial Laurent term with which we apply the Gram–Schmidt procedure is chosen according to the desired expansion order. The use of the polynomial expansion is demonstrated for shift- and one-dimensional scale-invariant pattern recognition as well as for shift- and two-dimensional scale-invariant recognition.

Original languageEnglish
Pages (from-to)5146-5152
Number of pages7
JournalApplied Optics
Volume34
Issue number23
DOIs
StatePublished - Aug 1995
Externally publishedYes

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