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....

Full description

Bibliographic Details

Published in:	ACM transactions on graphics. 19, 4 (2000).
Main Author:	Sarraga, Ramon F.
Format:	Article
Language:	English
Subjects:	G1 smoothness. Computer-aided geometric design. Mathematical manifolds. Scattered data interpolation. Shape optimization. Smoothing. Surface modeling. Triangular Bézier patches. Variational methods.