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    Image representation and compression using directionlets

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    Authors
    Velisavljević, Vladan
    Beferull-Lozano, Baltasar
    Vetterli, Martin
    Luigi Dragotti, Pier
    Van De Ville, Dimitri
    Goyal, Vivek K.
    Papadakis, Manos
    Issue Date
    2007
    Subjects
    image processing
    quantization
    transform theory
    wavelet transforms
    
    Metadata
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    Abstract
    The standard separable two-dimensional (2-D) wavelet transform (WT) has recently achieved a great success in image processing because it provides a sparse representation of smooth images. However, it fails to capture efficiently one-dimensional (1-D) discontinuities, like edges or contours. These features, being elongated and characterized by geometrical regularity along different directions, intersect and generate many large magnitude wavelet coefficients. Since contours are very important elements in visual perception of images, to provide a good visual quality of compressed images, it is fundamental to preserve good reconstruction of these directional features. We propose a construction of critically sampled perfect reconstruction transforms with directional vanishing moments (DVMs) imposed in the corresponding basis functions along different directions, called directionlets. We also demonstrate the outperforming non-linear approximation (NLA) results achieved by our transforms and we show how to design and implement a novel efficient space-frequency quantization (SFQ) compression algorithm using directionlets. Our new compression method beats the standard SFQ both in terms of mean-square-error (MSE) and visual quality, especially in the low-rate compression regime. We also show that our compression method, does not increase the order of computational complexity as compared to the standard SFQ algorithm.
    Citation
    Velisavljevic, V., Beferull-Lozano, B., Vetterli, M. and Dragotti, P.L. (2007) 'Image representation and compression using directionlets', SPIE Photonics & Optics, Wavelets XII, San Diego, California, USA, 26-30 August. San Diego: SPIE, vol.6701.
    Publisher
    SPIE
    URI
    http://hdl.handle.net/10547/292640
    DOI
    10.1117/12.730454
    Additional Links
    http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1322852
    Type
    Conference papers, meetings and proceedings
    Language
    en
    ISBN
    9780819468499
    ae974a485f413a2113503eed53cd6c53
    10.1117/12.730454
    Scopus Count
    Collections
    Centre for Wireless Research (CWR)

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