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NORMAL-MAP BETWEEN NORMAL-COMPATIBLE MANIFOLDS

International Journal of Computational Geometry & Applications, 2007
Consider two (n−1)-dimensional manifolds, S and S′ in ℝn. We say that they are normal-compatible when the closest projection of each one onto the other is a homeomorphism. We give a tight condition under which S and S′ are normal-compatible. It involves the minimum feature size of S and of S′ and the Hausdorff distance between them.
Chazal, Frédéric   +2 more
openaire   +2 more sources

BALL-MAP: HOMEOMORPHISM BETWEEN COMPATIBLE SURFACES

International Journal of Computational Geometry & Applications, 2010
Homeomorphisms between curves and between surfaces are fundamental to many applications of 3D modeling, graphics, and animation. They define how to map a texture from one object to another, how to morph between two shapes, and how to measure the discrepancy between shapes or the variability in a class of shapes.
Frédéric Chazal   +3 more
openaire   +2 more sources

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