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Proceedings Paper

Image representation and compression using directionlets
Author(s): Vladan Velisavljević; Baltasar Beferull-Lozano; Martin Vetterli; Pier Luigi Dragotti
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Paper 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.

Paper Details

Date Published: 20 September 2007
PDF: 13 pages
Proc. SPIE 6701, Wavelets XII, 67010N (20 September 2007); doi: 10.1117/12.730454
Show Author Affiliations
Vladan Velisavljević, Deutsche Telekom Labs. (Germany)
Baltasar Beferull-Lozano, Univ. de Valencia (Spain)
Martin Vetterli, EPFL (Switzerland)
Univ. of California, Berkeley (United States)
Pier Luigi Dragotti, Imperial College (United Kingdom)


Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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