In this paper we present a NURBS version of the rational interpolating spline with tension introduced in (Gregory, J. A.: Shape preserving spline interpolation, Computer Aided Design 18 (1986), 53-57), and we extend our proposal to the rectangular topology case. In particular we present some rational interpolating techniques that enable us to reconstruct shape-preserving bivariate NURBS and allow us to interactively modify the resulting surface by a set of tension parameters.

Casciola, G., Romani, L. (2003). Rational Interpolants with Tension Parameters. In A. Cohen, J.L. Merrien, L.L. Schumaker (a cura di), Curve and Surface Design: Saint-Malo 2002 (pp. 41-50). Brentwood (TN) : Nashboro.

Rational Interpolants with Tension Parameters

ROMANI, LUCIA
2003

Abstract

In this paper we present a NURBS version of the rational interpolating spline with tension introduced in (Gregory, J. A.: Shape preserving spline interpolation, Computer Aided Design 18 (1986), 53-57), and we extend our proposal to the rectangular topology case. In particular we present some rational interpolating techniques that enable us to reconstruct shape-preserving bivariate NURBS and allow us to interactively modify the resulting surface by a set of tension parameters.
Capitolo o saggio
Hermite interpolation; Rational splines; Single-valued surfaces; Tension control
English
Curve and Surface Design: Saint-Malo 2002
0-9728482-0-7
Casciola, G., Romani, L. (2003). Rational Interpolants with Tension Parameters. In A. Cohen, J.L. Merrien, L.L. Schumaker (a cura di), Curve and Surface Design: Saint-Malo 2002 (pp. 41-50). Brentwood (TN) : Nashboro.
Casciola, G; Romani, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/7765
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