Article ID Journal Published Year Pages File Type
441097 Computer Aided Geometric Design 2007 7 Pages PDF
Abstract

In this paper, simple and explicit formulas for computing mean curvature vector and Gauss–Kronecker curvature for n-manifolds in Rn+m are derived. Using these formulas, we solve an open problem, proposed by Ron Goldman, about curvature formulas for implicit surfaces with higher co-dimensions.

Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design