In this paper we describe and analyze a new class of C² piecewise rational quintic Hermite interpolants for use in CAGD which are capable of exactly representing any conic arc of arbitrary length by using only one segment. They can also provide a variety of local/global shape parameters for intuitively sculpting free form curves without affecting the C² continuity inherent in the original construction.

Casciola, G., Romani, L. (2005). A Piecewise Rational Quintic Hermite Interpolant for use in CAGD. In M. Dæhlen, K. Morken, L.L. Schumaker (a cura di), Mathematical Methods for Curves and Surfaces: Tromsø 2004 (pp. 39-49). Brentwood (TN) : Nashboro.

A Piecewise Rational Quintic Hermite Interpolant for use in CAGD

ROMANI, LUCIA
2005

Abstract

In this paper we describe and analyze a new class of C² piecewise rational quintic Hermite interpolants for use in CAGD which are capable of exactly representing any conic arc of arbitrary length by using only one segment. They can also provide a variety of local/global shape parameters for intuitively sculpting free form curves without affecting the C² continuity inherent in the original construction.
Capitolo o saggio
Hermite interpolation; Rational Bézier curves; Conic reproduction; Local deformations
English
Mathematical Methods for Curves and Surfaces: Tromsø 2004
0-9728482-4-X
Casciola, G., Romani, L. (2005). A Piecewise Rational Quintic Hermite Interpolant for use in CAGD. In M. Dæhlen, K. Morken, L.L. Schumaker (a cura di), Mathematical Methods for Curves and Surfaces: Tromsø 2004 (pp. 39-49). Brentwood (TN) : Nashboro.
Casciola, G; Romani, L
File in questo prodotto:
File Dimensione Formato  
casciola_romani_2005_preprint.pdf

accesso aperto

Tipologia di allegato: Submitted Version (Pre-print)
Dimensione 209.92 kB
Formato Adobe PDF
209.92 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: https://hdl.handle.net/10281/7764
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
Social impact