28 January 2004 A new video coder powered with second-generation wavelets
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In this paper we propose a new method based on Second Generation Wavelets (SGW), a recently emerged mathematic transform, already successfully applied in 3d coding. This new wavelet transform (SGW) applied to meshes is performed using the powerful lifting scheme, keeping the main features of the first generation wavelets whilst introducing some useful properties such as: analysis on general domains (typically arbitrary, non linear domains of Rn), adapted basis for weighted approximation/interpolation and weighted measure and transform adapted to irregular sampled data. Thus in this paper we propose a video coder based on second generation wavelet theory and mesh geometry. In fact, we focus on video coder error images which are mainly composed of high frequencies and singularities, i.e. typically the kind of data that second generation wavelet can successfully process. The main advantage is that these wavelets can be designed to fit exactly on singularities, shapes, textures, and edges. Hence, we can further reduce redundancy and improve coding efficiency over those peculiar settings.
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Sebastien Brangoulo, Sebastien Brangoulo, Patrick Gioia, Patrick Gioia, Nathalie Laurent, Nathalie Laurent, Jerome Fournier, Jerome Fournier, } "A new video coder powered with second-generation wavelets", Proc. SPIE 5208, Mathematics of Data/Image Coding, Compression, and Encryption VI, with Applications, (28 January 2004); doi: 10.1117/12.505592; https://doi.org/10.1117/12.505592

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