Phase-shifting for nonseparable 2-d Haar wavelets

    Authors

    M. Alnasser;H. Foroosh

    Comments

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    Abbreviated Journal Title

    IEEE Trans. Image Process.

    Keywords

    nonseparable; phase-shifting; 2-D Haar transform wavelets; RETRIEVAL; TRANSFORM; Computer Science, Artificial Intelligence; Engineering, Electrical &; Electronic

    Abstract

    In this paper, we present a novel and efficient solution to phase-shifting 2-D nonseparable Haar wavelet coefficients. While other methods either modify existing wavelets or introduce new ones to handle the lack of shift-invariance, we derive the explicit relationships between the coefficients of the shifted signal and those of the unshifted one. We then establish their computational complexity, and compare and demonstrate the superior performance of the proposed approach against classical interpolation tools in terms of accumulation of errors under successive shifting.

    Journal Title

    Ieee Transactions on Image Processing

    Volume

    17

    Issue/Number

    7

    Publication Date

    1-1-2008

    Document Type

    Article

    Language

    English

    First Page

    1061

    Last Page

    1068

    WOS Identifier

    WOS:000256885700003

    ISSN

    1057-7149

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