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1997 (EN)
Shape-preserving interpolation in ℝ3 (EN)

Karavelas, MI (EN)
Kaklis, PD (EN)

N/A (EN)

In this paper we develop and test a simple automatic algorithm for constructing curvature- and torsion-continuous interpolants in R-3, 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 C-2-continuous 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. (EN)

journalArticle

SPLINES (EN)
CURVES (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

IMA Journal of Numerical Analysis (EN)

1997


OXFORD UNIV PRESS (EN)



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