New PDF release: [Article] A Panorama on Multiscale Geometric

By Laurent Jacques, Laurent Duval, Caroline Chaux, Gabriel Peyre

The richness of common pictures makes the search for optimum representations in photo processing and computing device imaginative and prescient hard. The latter statement has no longer avoided the layout of snapshot representations, which exchange off among potency and complexity, whereas attaining actual rendering of gentle areas in addition to reproducing trustworthy contours and textures. the latest ones, proposed long ago decade, proportion an hybrid history highlighting the multiscale and orientated nature of edges and styles in pictures. This paper provides a landscape of the aforementioned literature on decompositions in multiscale, multi-orientation bases or dictionaries. they generally show redundancy to enhance sparsity within the remodeled area and infrequently its invariance with recognize to basic geometric deformations (translation, rotation). orientated multiscale dictionaries expand conventional wavelet processing and should provide rotation invariance. hugely redundant dictionaries require particular algorithms to simplify the hunt for a good (sparse) illustration. We additionally talk about the extension of multiscale geometric decompositions to non-Euclidean domain names equivalent to the sector or arbitrary meshed surfaces. The etymology of landscape indicates an summary, in accordance with a decision of partly overlapping "pictures". we are hoping that this paper will give a contribution to the appreciation and apprehension of a movement of present examine instructions in picture knowing.

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[Article] A Panorama on Multiscale Geometric Representations, Intertwining Spatial, Directional and Frequency Selectivity by Laurent Jacques, Laurent Duval, Caroline Chaux, Gabriel Peyre


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