Colour pattern recognition by three-dimensional correlation

J. Nicolás; M.J. Yzuel; J. Campos

doi:10.1016/S0030-4018(00)00953-6

Colour pattern recognition by three-dimensional correlation

J. Nicolás, M.J. Yzuel, J. Campos

Department of Physics

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

14 Citations (Scopus)

Abstract

We introduce the colour as a third dimension of images and extend the definition of Fourier transform to these three variable light distributions. Firstly we study the properties of the three-dimensional (3D) Fourier transform of these images, paying special attention to the properties of the colour variable transformation. Then, 3D correlation is introduced for these images and it is applied to pattern recognition of colour images. Some properties of correlation are extracted from the special characteristics of the third variable (the colour), like the special interpretation of the shift invariance along the colour dimension.

Original language	English
Pages (from-to)	335-343
Journal	Optics Communications
Volume	184
Issue number	184
DOIs	https://doi.org/10.1016/S0030-4018(00)00953-6
Publication status	Published - 15 Oct 2000

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title = "Colour pattern recognition by three-dimensional correlation",

abstract = "We introduce the colour as a third dimension of images and extend the definition of Fourier transform to these three variable light distributions. Firstly we study the properties of the three-dimensional (3D) Fourier transform of these images, paying special attention to the properties of the colour variable transformation. Then, 3D correlation is introduced for these images and it is applied to pattern recognition of colour images. Some properties of correlation are extracted from the special characteristics of the third variable (the colour), like the special interpretation of the shift invariance along the colour dimension.",

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AU - Campos, J.

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N2 - We introduce the colour as a third dimension of images and extend the definition of Fourier transform to these three variable light distributions. Firstly we study the properties of the three-dimensional (3D) Fourier transform of these images, paying special attention to the properties of the colour variable transformation. Then, 3D correlation is introduced for these images and it is applied to pattern recognition of colour images. Some properties of correlation are extracted from the special characteristics of the third variable (the colour), like the special interpretation of the shift invariance along the colour dimension.

AB - We introduce the colour as a third dimension of images and extend the definition of Fourier transform to these three variable light distributions. Firstly we study the properties of the three-dimensional (3D) Fourier transform of these images, paying special attention to the properties of the colour variable transformation. Then, 3D correlation is introduced for these images and it is applied to pattern recognition of colour images. Some properties of correlation are extracted from the special characteristics of the third variable (the colour), like the special interpretation of the shift invariance along the colour dimension.

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DO - 10.1016/S0030-4018(00)00953-6

M3 - Article

VL - 184

SP - 335

EP - 343

IS - 184

ER -

Colour pattern recognition by three-dimensional correlation

Abstract

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