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.
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