Curvature formulas for implicit curves and surfaces

نویسنده

  • Ron Goldman
چکیده

Curvature formulas for implicit curves and surfaces are derived from the classical curvature formulas in Differential Geometry for parametric curves and surfaces. These closed formulas include curvature for implicit planar curves, curvature and torsion for implicit space curves, and mean and Gaussian curvature for implicit surfaces. Some extensions of these curvature formulas to higher dimensions are also provided.  2005 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Computer Aided Geometric Design

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2005