Curvature computations for n-manifolds in Rn+m and solution to an open problem proposed by R. Goldman

نویسندگان

  • Qin Zhang
  • Guoliang Xu
چکیده

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. © 2006 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Computer Aided Geometric Design

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2007