𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hermite interpolation with circular precision

✍ Scribed by D.J. Walton; D.S. Meek

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
692 KB
Volume
42
Category
Article
ISSN
0010-4485

No coin nor oath required. For personal study only.

✦ Synopsis

Recently some G 1 Hermite-type interpolation methods using a rational parametric cubic were proposed; the methods reproduce a circular arc when the input data come from it. A G 2 Hermite-type interpolation method is now proposed which reproduces a circular arc when the input data come from it.

πŸ“œ SIMILAR VOLUMES

Geometric Hermite interpolation with cir
Geometric Hermite interpolation with circular precision
✍ Gerald Farin πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 340 KB

We present several Hermite-type interpolation methods for rational cubics. In case the input data come from a circular arc, the rational cubic will reproduce it.

Hermite Interpolation of Solid Orientati
Hermite Interpolation of Solid Orientations with Circular Blending Quaternion Curves
✍ KIM, MYUNG-SOO ;NAM, KEE-WON πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 794 KB

## Construction methods are presented that generate Hermite interpolation quaternion curves on SO(3). lLvo circular curves Cl(t) and C2(t), 0 5 t 5 1, are generated that interpolate two orientations ql and q 2 , and have boundary angular velocities: Cl(0) = w1 and Ci(1) = w2, respectively. They ar

Geometric Hermite interpolation with Tsc
Geometric Hermite interpolation with Tschirnhausen cubics
✍ D.S. Meek; D.J. Walton πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 673 KB

Explicit formulae are found that give the unique Tschirnhausen cubic that solves a geometric Hermite interpolation problem. That solution is used to create a planar G1 spline by joining segments of Tschirnhausen cubits. If the geometric Hermite data is from a smooth function, the Tschirnhausen cubic