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 belonging to 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 B-spline surfaces - Preprint su ArXiv

DAGNINO, Catterina;LAMBERTI, Paola;REMOGNA, Sara
2013

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 belonging to 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.
http://arxiv-web3.library.cornell.edu/pdf/1312.5533v1.pdf
Interpolation; B-spline surface; Curve network
C. Dagnino; P. Lamberti; S. Remogna
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: http://hdl.handle.net/2318/142794
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact