NURPS surfaces are the rational extension of Powell-Sabin splines in their normalized B-spline representation. In this paper we study the influence of modifying the weights of a NURPS surface. We describe the relation between the weights associated with a control triangle and the points on the NURPS surface by means of a double volume ratio. We also extend the concept of Farin points for rational Bezier curves to NURPS surfaces, resulting in weight points and weight triangles. They admit a local weight control in a geometrically intuitive way.

Speleers, H., Dierckx, P., Vandewalle, S. (2007). Weight control for modelling with NURPS surfaces. COMPUTER AIDED GEOMETRIC DESIGN, 24(3), 179-186 [10.1016/j.cagd.2007.01.005].

Weight control for modelling with NURPS surfaces

Speleers H.;
2007

Abstract

NURPS surfaces are the rational extension of Powell-Sabin splines in their normalized B-spline representation. In this paper we study the influence of modifying the weights of a NURPS surface. We describe the relation between the weights associated with a control triangle and the points on the NURPS surface by means of a double volume ratio. We also extend the concept of Farin points for rational Bezier curves to NURPS surfaces, resulting in weight points and weight triangles. They admit a local weight control in a geometrically intuitive way.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/08 - Analisi Numerica
English
Con Impact Factor ISI
NURPS; Rational splines; Weight control; Weight points
Speleers, H., Dierckx, P., Vandewalle, S. (2007). Weight control for modelling with NURPS surfaces. COMPUTER AIDED GEOMETRIC DESIGN, 24(3), 179-186 [10.1016/j.cagd.2007.01.005].
Speleers, H; Dierckx, P; Vandewalle, S
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/215108
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