In this paper we investigate the problem of interpolating a B-spline curve network, in order to create a surface satisfying such a constraint and defined by blending functions spanning the space of bivariate $C^1$ quadratic splines on criss–cross triangulations. We prove the existence and uniqueness of the surface, providing a constructive algorithm for its generation. We also present numerical and graphical results and comparisons with other methods.

Curve network interpolation by $C^1$ quadratic B-spline surfaces

DAGNINO, Catterina;LAMBERTI, Paola;REMOGNA, Sara
2015

Abstract

In this paper we investigate the problem of interpolating a B-spline curve network, in order to create a surface satisfying such a constraint and defined by blending functions spanning the space of bivariate $C^1$ quadratic splines on criss–cross triangulations. We prove the existence and uniqueness of the surface, providing a constructive algorithm for its generation. We also present numerical and graphical results and comparisons with other methods.
40
26
39
http://arxiv.org/abs/1312.5533
Interpolation, B-spline surface, Curve network
Dagnino, C.; Lamberti, P.; Remogna, S.
File in questo prodotto:
File Dimensione Formato  
DLR_reti.pdf

Accesso riservato

Tipo di file: PDF EDITORIALE
Dimensione 2.36 MB
Formato Adobe PDF
2.36 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

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: http://hdl.handle.net/2318/1530452
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 4
social impact