We present a tension-controlled 2-point Hermite interpolatory subdivision scheme that is capable of reproducing circles starting from a sequence of sample points with any arbitrary spacing and appropriately chosen first and second derivatives. Whenever the tension parameter is set equal to 1, the limit curve coincides with the rational quintic Hermite interpolant to the given data and has guaranteed C² continuity, while for other positive tension values, continuity of curvature is conjectured and empirically shown by a wide range of experiments.

Romani, L. (2010). A circle-preserving C² Hermite interpolatory subdivision scheme with tension control. COMPUTER AIDED GEOMETRIC DESIGN, 27(1), 36-47 [10.1016/j.cagd.2009.08.006].

A circle-preserving C² Hermite interpolatory subdivision scheme with tension control

ROMANI, LUCIA
2010-01

Abstract

We present a tension-controlled 2-point Hermite interpolatory subdivision scheme that is capable of reproducing circles starting from a sequence of sample points with any arbitrary spacing and appropriately chosen first and second derivatives. Whenever the tension parameter is set equal to 1, the limit curve coincides with the rational quintic Hermite interpolant to the given data and has guaranteed C² continuity, while for other positive tension values, continuity of curvature is conjectured and empirically shown by a wide range of experiments.
Articolo in rivista - Articolo scientifico
Rational interpolation; Hermite subdivision; Curve fitting; Circle-preserving; Tension control
English
Romani, L. (2010). A circle-preserving C² Hermite interpolatory subdivision scheme with tension control. COMPUTER AIDED GEOMETRIC DESIGN, 27(1), 36-47 [10.1016/j.cagd.2009.08.006].
Romani, L
File in questo prodotto:
File Dimensione Formato  
romani_cagd10.pdf

accesso aperto

Tipologia di allegato: Submitted Version (Pre-print)
Dimensione 514.08 kB
Formato Adobe PDF
514.08 kB Adobe PDF Visualizza/Apri

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/10281/7666
Citazioni
  • Scopus 25
  • ???jsp.display-item.citation.isi??? 20
Social impact