Title :
Generating fair meshes with G/sup 1/ boundary conditions
Author :
Schneider, R. ; Kobbelt, L.
Author_Institution :
Max-Planck Inst. for Comput. Sci., Saarbrucken, Germany
Abstract :
We present a new algorithm to create fair discrete surfaces satisfying prescribed G/sup 1/ 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.
Keywords :
computational geometry; computer graphics; partial differential equations; surface fitting; G1 boundary conditions; computational geometry; fair discrete surface generation; iterative algorithm; local mean curvature extrema; mesh partitioning; partial differential equation; Artificial intelligence; Boundary conditions; Calculus; Differential equations; Finite difference methods; Finite element methods; Iterative algorithms; Laplace equations; Linear systems; Partial differential equations;
Conference_Titel :
Geometric Modeling and Processing 2000. Theory and Applications. Proceedings
Conference_Location :
Hong Kong, China
Print_ISBN :
0-7695-0562-7
DOI :
10.1109/GMAP.2000.838257
