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www.elsevier.com/locate/cagd Curvature formulas for implicit curves and surfaces

By Ron Goldman

Abstract

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

Year: 2005
OAI identifier: oai:CiteSeerX.psu:10.1.1.413.3008
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