A numerical approach to compute the topology of the Apparent Contour of a smooth mapping from R2 to R2

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A numerical approach to compute the topology of the Apparent Contour of a smooth mapping from R2 to R2

A rigorous algorithm for computing the topology of the Apparent Contour of a generic smooth map is designed and studied in this paper. The source set is assumed to be a simply connected compact subset of the plane and the target space is the plane. Whitney proved that, generically, critical points of a smooth map are folds or cusps [9]. The Apparent Contour is the set of critical values, that i...

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2014

ISSN: 0377-0427

DOI: 10.1016/j.cam.2014.03.032