Invariant pattern recognition based on 1-D wavelet functions and the polynomial decomposition

Gal Shabtay; Zeev Zalevsky; David Mendlovic; Ido Raveh; Carlos Ferreira; Javier García

doi:10.1016/s0030-4018(96)00701-8

Invariant pattern recognition based on 1-D wavelet functions and the polynomial decomposition

Gal Shabtay, Zeev Zalevsky, David Mendlovic, Ido Raveh, Carlos Ferreira, Javier García

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

Abstract

A new filter, consisting of 1-D Wavelet functions is suggested for achieving optical invariant pattern recognition. The formed filter is actually a real function, hence, it is theoretically possible to be implemented under both spatially coherent and spatially incoherent illuminations. The filter is based on the polynomial expansion, and is constructed out of a scaled bank of filters multiplied by 1-D Wavelet weight functions. The obtained output is shown to be invariant to 2-D scaling even when different scaling factors are applied on the different axes. The computer simulations and the experimental results demonstrate the potential hidden in this technique.

Original language	English
Pages (from-to)	306-312
Number of pages	7
Journal	Optics Communications
Volume	136
Issue number	3-4
DOIs	https://doi.org/10.1016/s0030-4018(96)00701-8
State	Published - 15 Mar 1997
Externally published	Yes

Bibliographical note

Funding Information:
Zeev Zalevsky acknowledgesth e Eshcol Fellowship grantedb y theI sraelianM inistry of Sciencea nd Arts. This work was partially supportedb y the Spanish Comision Interministeriadl e Ciencia y Tecnologia( CICYT), under the projectT AP-93-0667-CO3-03.

Funding

Zeev Zalevsky acknowledgesth e Eshcol Fellowship grantedb y theI sraelianM inistry of Sciencea nd Arts. This work was partially supportedb y the Spanish Comision Interministeriadl e Ciencia y Tecnologia( CICYT), under the projectT AP-93-0667-CO3-03.

Funders	Funder number
Spanish Comision Interministeriadl e Ciencia y Tecnologia
Comisión Interministerial de Ciencia y Tecnología	AP-93-0667-CO3-03

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10.1016/s0030-4018(96)00701-8

Cite this

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title = "Invariant pattern recognition based on 1-D wavelet functions and the polynomial decomposition",

abstract = "A new filter, consisting of 1-D Wavelet functions is suggested for achieving optical invariant pattern recognition. The formed filter is actually a real function, hence, it is theoretically possible to be implemented under both spatially coherent and spatially incoherent illuminations. The filter is based on the polynomial expansion, and is constructed out of a scaled bank of filters multiplied by 1-D Wavelet weight functions. The obtained output is shown to be invariant to 2-D scaling even when different scaling factors are applied on the different axes. The computer simulations and the experimental results demonstrate the potential hidden in this technique.",

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doi = "10.1016/s0030-4018(96)00701-8",

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AU - Raveh, Ido

AU - Ferreira, Carlos

AU - García, Javier

N1 - Funding Information: Zeev Zalevsky acknowledgesth e Eshcol Fellowship grantedb y theI sraelianM inistry of Sciencea nd Arts. This work was partially supportedb y the Spanish Comision Interministeriadl e Ciencia y Tecnologia( CICYT), under the projectT AP-93-0667-CO3-03.

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Invariant pattern recognition based on 1-D wavelet functions and the polynomial decomposition

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