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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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James Damon,Peter Giblin,Gareth HaslingerIncludes geometric features of objects, shade/shadow features, and apparent contours.Analyzes generic changes under viewer movement.Amply illustrated with computer generated images.Yields approach for
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Realizations of Abstract Mappings Representing Projection SingularitiesIn Chaps. . and 7 we have constructed abstract normal forms for view projections and in Chap. . we have identified the various physical situations to which these normal forms apply.
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Statements of the Main Classification ResultsWe now in a position to describe the main results of this monograph concerning the interaction of geometric features, shade/shadow curves and apparent contours in the case of a collection of fixed objects given a fixed generic light source.
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Transitions Involving Views of Geometric Features (FC)In Chap. . we gave the classification of stable view projections of type (FC). In this chapter we further give the classification of generic transitions of type (FC). We summarize the classification for the five classes of transitions in Theorem 12.1 and in subsequent sections consider the individual cases.
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Stable View Projections and Transitions Involving Shade/Shadow Curves on a Smooth Surface (SC) apparent contour will then interact, but since these curves are not arbitrary curves on the surface the possible interactions are not necessarily the same as those which are possible on a surface with a marking curve or boundary. Since we assume the light projection is stable, we need only consider the case where it is a fold map or a cusp map.
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978-3-319-41470-6Springer International Publishing Switzerland 2016
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