A construction of rational manifold surfaces of arbitrary topology and smoothness from triangular meshes. (English) Zbl 1172.53302

Della Vecchia, Giovanni; Jüttler, Bert; Kim, Myung-Soo

Comput. Aided Geom. Des. 25, No. 9, 801-815 (2008).

Summary: Given a closed triangular mesh, we construct a smooth free-form surface which is described as a collection of rational tensor-product and triangular surface patches. The surface is obtained by a special manifold surface construction, which proceeds by blending together geometry functions for each vertex. The transition functions between the charts, which are associated with the vertices of the mesh, are obtained via subchart parameterization.

MSC:

53A05	Surfaces in Euclidean and related spaces
65D17	Computer-aided design (modeling of curves and surfaces)

Keywords:

manifold surface; geometric continuity; smooth free-form rational surface; arbitrary topological genus

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