Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641169 | Journal of Computational and Applied Mathematics | 2009 | 9 Pages |
Abstract
A hyperbolic paraboloid over a tetrahedron, constructed in B–B algebraic reduced form with its barycentric coordinate system, can be conveniently represented by two parameters. An arc on the surface, obtained by determining a type of function relation about the two parameters, has multiformity and consistent endpoint properties. We analyze the equivalence and boundedness of an arc’s curvature, and give a process of the proof. These arcs can be connected into an approximate G2G2-continuity space curve for fitting to a sequence of points with their advantages, and the curves, connected by this type arcs, are quite different from other algebraic and parametric splines.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fengfu Peng, Xuli Han,