With progress on both the theoretical and the computational fronts, the use of Hermite
interpolation for mathematical modeling has become an established tool in applied science …

Pythagorean–hodograph curves are characterized by the special property that their
“parametric speed”—ie, the derivative of the arc length with respect to the curve parameter …

The main objective of this paper is to construct the various shapes and font designing of
curves and to describe the curvature by using parametric and geometric continuity …

The problem of constructing a plane polynomial curve with given end points and end
tangents, and a specified arc length, is addressed. The solution employs planar quintic …

The past decade has witnessed sustained interest in elucidating the basic theory of
Pythagorean–hodograph (PH) curves, developing construction algorithms, formulating …

The local controlled generalized H-Bézier model is one of the most useful tools for shape
designs and geometric representations in computer-aided geometric design (CAGD), which …

An algorithm to smooth a sequence of noisy data in R d with cubic polynomials is herein
presented. The data points are assumed to be sequentially ordered, with the idea that they …

This paper deals with G1 Hermite interpolation by the Tschirnhausen cubic. In Meek and
Walton (1997a), the explicit formulas for finding an arc of Tschirnhausen cubic which …

We introduce a new method of solving C1 Hermite interpolation problems, which makes it
possible to use a wider range of PH curves with potentially better shapes. By characterizing …

We provide necessary and sufficient conditions for the existence of solutions of G1 Hermite
interpolation problem by spatial PH cubics. To deal with the cases where multiple solutions …