Paper
20 September 2007 Image representation and compression using directionlets
Vladan Velisavljević, Baltasar Beferull-Lozano, Martin Vetterli, Pier Luigi Dragotti
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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.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Vladan Velisavljević, Baltasar Beferull-Lozano, Martin Vetterli, and Pier Luigi Dragotti "Image representation and compression using directionlets", Proc. SPIE 6701, Wavelets XII, 67010N (20 September 2007); https://doi.org/10.1117/12.730454
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Cited by 1 scholarly publication.
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KEYWORDS
Transform theory

Image segmentation

Image compression

Visualization

Wavelets

Image quality

Visual compression

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