Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Local smooth surface interpolation: a classification
Computer Aided Geometric Design
A G1 triangular spline surface of arbitrary topological type
Computer Aided Geometric Design
Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in R3
Computer Aided Geometric Design
Curves with quadric boundary precision
Computer Aided Geometric Design
On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Polynomial Surfaces Interpolating Arbitrary Triangulations
IEEE Transactions on Visualization and Computer Graphics
Simple local interpolation of surfaces using normal vectors
Computer Aided Geometric Design
Short communication: The octant of a sphere as a non-degenerate triangular Bézier patch
Computer Aided Geometric Design
Curvature tensor computation by piecewise surface interpolation
Computer-Aided Design
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Two completely local methods for interpolating point-normal data based on rational quadratic curves are presented. The first method can be applied to arbitrary convex data and is capable of reproducing spheres and cylinders. The second method is specialized to cones. The curve methods are used to construct a side-vertex patch that preserves their accuracy. To handle more general configurations, a composite side-side patch involving rational cubic curves is proposed. The composite patch is visually smooth and attains a cubic rate of convergence.