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Titlebook: Local Features in Natural Images via Singularity Theory; James Damon,Peter Giblin,Gareth Haslinger Book 2016 Springer International Publis

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Overviewwo general considerations are that the objects will either be surfaces with boundary edges (representing physical objects that are “thin surfaces”) or 3-dimensional objects whose boundary surfaces exhibit certain geometric features. We allow the surface features to be generic geometric features incl
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Apparent Contours for Projections of Smooth Surfaces apparent contours resulting from viewer movement. Our approach to this will involve progressively adding more detailed structure to simpler situations. The starting point for this is the case where we have a single object whose boundary is a smooth surface . without geometric features. Hence, for t
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Methods for Classification of Singularitiesrious equivalence groups by reducing to the induced actions of Lie groups on jet spaces. This involves using finite determinacy results and Mather’s geometric lemma for actions of Lie groups. This was considerably strengthened by the much improved order of determinacy results from the stronger metho
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Stratifications of Generically Illuminated Surfaces with Geometric Features projection being stable for the interaction of the geometric features and the resulting shade/shadow curves. We carry this out by first using the abstract classification of stable germs at geometric feature points, and determining in Sect. 8.1 their distinct geometric realizations to obtain the cla
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