A variational method to model G1 surfaces over triangular meshes of arbitrary topology in R3.

A variational method to model G1 surfaces over triangular meshes of arbitrary topology in R3.

This article presents a method for constructing a G1-smooth surface, composed of independently parametrized triangular polynomial Bézier patches, to fit scattered data points triangulated in R3 with arbitrary topology. The method includes a variational technique to optimize the shape of the surface....

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Vydáno v:ACM transactions on graphics. 19, 4 (2000).
Hlavní autor: Sarraga, Ramon F.
Médium: Článek
Jazyk:English
Témata:
G1 smoothness.
Computer-aided geometric design.
Mathematical manifolds.
Scattered data interpolation.
Shape optimization.
Smoothing.
Surface modeling.
Triangular Bézier patches.
Variational methods.