Sciweavers

GMP
2006
IEEE

Minimal Mean-Curvature-Variation Surfaces and Their Applications in Surface Modeling

13 years 9 months ago
Minimal Mean-Curvature-Variation Surfaces and Their Applications in Surface Modeling
Physical based and geometric based variational techniques for surface construction have been shown to be advanced methods for designing high quality surfaces in the fields of CAD and CAGD. In this paper, we derive a Euler-Lagrange equation from a geometric invariant curvature integral functional–the integral about the mean curvature gradient. Using this Euler-Lagrange equation, we construct a sixth-order geometric flow (named as minimal mean-curvature-variation flow), which is solved numerically by a divided-difference-like method. We apply our equation to solving several surface modeling problems, including surface blending, N-sided hole filling and point interpolating. The illustrative examples provided show that this sixth-order flow yields high quality surfaces.
Guoliang Xu, Qin Zhang
Added 11 Jun 2010
Updated 11 Jun 2010
Type Conference
Year 2006
Where GMP
Authors Guoliang Xu, Qin Zhang
Comments (0)