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.
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