Local features in natural images via singularity theory

DOI10.1007/978-3-319-41471-3zbMath1369.68002OpenAlexW2527184561MaRDI QIDQ737193

Gareth Haslinger, James Damon, Peter J. Giblin

Publication date: 8 August 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-41471-3

zbMATH Keywords

cuspclassification of singularitiesLie group methodswallowtailboundary singularityfoldtopological methodseparating curvegeometric featurescast shadow curveclassification of generic transitions for triple interactionsclassification of transitions for crease curvescontour generatorcrease curvefinite determinacy theoremgeneric geometric featureshard curvemultilocal viewsorder of contactrealization of an abstract normal formsemianalytic stratificationshade curvesoft curvespecial semianalytic stratificationstable curve configurationstable local viewstable mapping between surfacesversality theoremviewer projection mapWhitney's classification

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Research exposition (monographs, survey articles) pertaining to computer science (68-02) Machine vision and scene understanding (68T45) Critical points of functions and mappings on manifolds (58K05) Topological properties of mappings on manifolds (58K15) Classification; finite determinacy of map germs (58K40) Algebraic and analytic properties of mappings on manifolds (58K20)

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On the flat geometry of the cuspidal edge ⋮ The visible-volume function of a set of cameras is continuous, piecewise rational, locally Lipschitz, and semi-algebraic in all dimensions ⋮ One‐parameter families of Legendre curves and plane line congruences ⋮ Critical Contours: An Invariant Linking Image Flow with Salient Surface Organization ⋮ Stratification Theory ⋮ Capturing information on curves and surfaces from their projected images

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