Download [Article] A Panorama on Multiscale Geometric by Laurent Jacques, Laurent Duval, Caroline Chaux, Gabriel PDF

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

The richness of typical photographs makes the search for optimum representations in snapshot processing and desktop imaginative and prescient tough. The latter remark has now not avoided the layout of snapshot representations, which exchange off among potency and complexity, whereas attaining exact rendering of delicate areas in addition to reproducing devoted contours and textures. the newest ones, proposed some time past decade, percentage an hybrid historical past highlighting the multiscale and orientated nature of edges and styles in photographs. This paper offers 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 occasionally its invariance with admire to uncomplicated 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 speak about the extension of multiscale geometric decompositions to non-Euclidean domain names akin to the field or arbitrary meshed surfaces. The etymology of landscape indicates an summary, according to a call of partly overlapping "pictures". we are hoping that this paper will give a contribution to the appreciation and apprehension of a circulate of present study instructions in photograph knowing.

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Additional info for [Article] A Panorama on Multiscale Geometric Representations, Intertwining Spatial, Directional and Frequency Selectivity

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