Approach to wavelet multiresolution analysis using Coiflets and a two-wave mixing arrangement

Ángel Salazar, Héctor Lorduy G.

    Research output: Contribution to journalArticlepeer-review

    2 Scopus citations

    Abstract

    An approach to the wavelet multiresolution analysis is realized using Coiflet wavelets and a two-wave mixing arrangement via transmission gratings in a bismuth silicon oxide (BSO) crystal. A Coiflet filter acts not only as a band-pass filter but as a high-pass or low-pass filter. 2-D wavelet bases are generated by a tensorial product of the 1-D Coiflet bases and are separable in x and y. Therefore, the 1-D band-pass property produces direction ability in the 2-D tensorial products. In this way, unlike the Mexican hat-based filters, the Coiflet-based filters allow selecting horizontal, vertical or diagonals details of an original image. The decomposition of a signal in two levels of multiresolution is experimentally demonstrated in this scheme. The original image is discomposed in an average image and several detail images depending on the level of multiresolution. Coif12 wavelets are used to achieve the multiresolution analysis. The photorefractive implementation of the wavelet analysis is numerically simulated and experimentally performed. An agreement between numerical and experimental results is obtained.

    Original languageEnglish
    Pages (from-to)3091-3098
    Number of pages8
    JournalOptics Communications
    Volume281
    Issue number11
    DOIs
    StatePublished - 1 Jun 2008

    Bibliographical note

    Funding Information:
    A. Salazar and H. Lorduy acknowledge the financial support of the Universidad Pontificia Bolivariana, Medellín-Colombia, its Centro de Ciencia Básica and the Centro Integrado para el Desarrollo de la Investigación, CIDI, throughout the research 890-05/06-27. Equally, A. Salazar and H. Lorduy, acknowledge the important and constructive remarks of the reviewers of this paper.

    Keywords

    • Coiflets
    • Photorefractive BSO crystal
    • Wavelet multiresolution analysis

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