Generating fair meshes with G¹ boundary conditions

Robert Schneider, Leif Kobbelt
Geometric Modeling and Processing Conference Proceedings, 2000

In this paper we present a new algorithm to create fair discrete surfaces satisfying prescribed G1 boundary constraints. All surfaces are built by discretizing a partial differential equation based on pure geometric intrinsics. The construction scheme is designed to produce meshes that are partitioned into regular domains. Using this knowledge in advance we can develop a fast iterative algorithm resulting in surfaces of high aesthetic quality that have no local mean curvature extrema in the interior.

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