Local generalized Hermite interpolation by quartic C 2 space curves
- 1 July 1989
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Graphics
- Vol. 8 (3) , 235-242
- https://doi.org/10.1145/77055.77060
Abstract
This paper develops and explains the construction of a piecewise quartic space curve that interpolates positional, tangent, and curvature data. The construction is local and explicit; that is, it does not involve the solution of equations. If only positional data are known, then the tangent and curvature data can he derived by simple local default rules. Another option is to reduce the degree of the curve or minimize the a-norm of its derivative by solving a diagonally dominant, banded, linear system.This publication has 2 references indexed in Scilit:
- High accuracy geometric Hermite interpolationComputer Aided Geometric Design, 1987
- A survey of curve and surface methods in CAGDComputer Aided Geometric Design, 1984