Smart materials and structures with shape memory properties have recently gained attention
due to their unique ability to remember their original shape, dimensional flexibility, structural …

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 …

In this study, we introduce partner ruled surfaces according to the Flc frame that is defined
on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to …

The problem of specifying the two free parameters that arise in spatial Pythagorean-
hodograph (PH) quintic interpolants to given first-order Hermite data is addressed …

General helices in a three dimensional Lie group with a bi-invariant metric are defined and a
generalization of Lancret's theorem is obtained. We conclude that the so-called spherical …

A method for constructing rational Pythagorean-hodograph (PH) curves in R3 is proposed,
based on prescribing a field of rational unit tangent vectors. This tangent field, together with …

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

We prove there is no rational rotation-minimizing frame (RMF) along any non-planar regular
cubic polynomial curve. Although several schemes have been proposed to generate rational …

We solve the problem of $ C^ 2$ Hermite interpolation by Pythagorean Hodograph (PH)
space curves. More precisely, for any set of $ C^ 2$ space boundary data (two points with …