Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
On the curvature of curves and surfaces defined by normalforms
Computer Aided Geometric Design
SIAM Review
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Ridges and Ravines on Implicit Surfaces
CGI '98 Proceedings of the Computer Graphics International 1998
Computer Aided Geometric Design
Lines of curvature and umbilical points for implicit surfaces
Computer Aided Geometric Design
Exact and interpolatory quadratures for curvature tensor estimation
Computer Aided Geometric Design
Clip Art Rendering of Smooth Isosurfaces
IEEE Transactions on Visualization and Computer Graphics
Good global behavior of offsets to plane algebraic curves
Journal of Symbolic Computation
Direct boolean intersection between acquired and designed geometry
Computer-Aided Design
Differential geometry of intersection curves in R 4 of three implicit surfaces
Computer Aided Geometric Design
Duplex fitting of zero-level and offset surfaces
Computer-Aided Design
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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.