Curvature computations for n-manifolds in and solution to an open problem proposed by R. Goldman
- 作者：Qin Zhang ; Guoliang Xu
- 关键词：Curvature formulas ; Implicit surfaces ; Co-dimension
- 刊名：Computer Aided Geometric Design
- 出版年：2007
- 期刊代码：20_01678396
- 类别：cp
- 出版时间：February 2007
- 卷：24
- 期：2
- 页码：117-123
- 文件大小：131 K
摘要
In this paper, simple and explicit formulas for computing mean curvature vector and Gauss–Kronecker curvature for n-manifolds in are derived. Using these formulas, we solve an open problem, proposed by Ron Goldman, about curvature formulas for implicit surfaces with higher co-dimensions.