IJPAM: Volume 32, No. 1 (2006)

NUERBS FORM OF EXPO-RATIONAL B-SPLINES

Lubomir T. Dechevsky$^1$, Arne Lakså$^2$, Børre Bang$^3$
$^{1,2,3}$R&D Group for Mathematical Modelling,
Numerical Simulation and Computer Visualization
Institute for Information, Energy and Space Technology
Narvik University College
2 Lodve Lange's St.
P.O. Box 385, Narvik, N-8505, NORWAY
$^1$e-mail: ltd@hin.no
url: https://ansatte.hin.no/ltd/
$^2$e-mail: ala@hin.no
url: https://ansatte.hin.no/ala/
$^3$e-mail: bb@hin.no
url: https://ansatte.hin.no/bb/


Abstract.We introduce the several possible ``NUERBS" forms of expo-rational B-splines, and discuss the hierarchy of these forms in the univariate case. We give some first instances of exploration of properties of the expo-rational NUERBS which depend not only on the NUERBS weights but also on the intrinsic parameters of the expo-rational B-splines.

Received: May 28, 2006

AMS Subject Classification: 65D07, 33A10, 33E20, 33F05, 41A15, 41A30, 44A20, 65D18, 65Y25, 68U05

Key Words and Phrases: B-spline, Bezier form, rational form, non-uniform rational B-spline (NURBS), non-uniform expo-rational B-spline (NUERBS), special function, Hermite interpolation, Pade interpolation, Taylor series, Laurent series, curve, surface, tensor product

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 32
Issue: 1