Shape-preserving interpolation in R3
Year: 1997
Type: article
Abstract: In this paper we develop and test a simple automatic algorithm for constructing curvature- and torsion-continuous interpolants in R3 which are shape-preserving in a sense that takes into account the convexity, torsion, coplanarity and collinearity information contained in the polygonal line connecting the interpolation points. This algorithm exploits the asymptotic properties of a family of C2 polynomial splines of non-uniform degree, which tend to the above-mentioned polygonal line, as the segment degrees tend to infinity. The performance of the algorithm is tested for a three-dimensional data set, containing coplanar and collinear groups of points as well.
Authors: P. D. KAKLIS, M. I. KARAVELAS
Institutions: National Technical University of Athens, Stanford University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2131328660