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.;
2007-04-01

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.
apr-2007
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
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/215108
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 10
social impact