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High accuracy geometric Hermite interpolation

✍ Scribed by Carl de Boor; Klaus Höllig; Malcolm Sabin

Book ID
107919405
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
417 KB
Volume
4
Category
Article
ISSN
0167-8396

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📜 SIMILAR VOLUMES

Geometric Hermite interpolation with cir
Geometric Hermite interpolation with circular precision
✍ Gerald Farin 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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.

Geometric Hermite interpolation with Tsc
Geometric Hermite interpolation with Tschirnhausen cubics
✍ D.S. Meek; D.J. Walton 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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

Geometric Hermite interpolation for spac
Geometric Hermite interpolation for space curves
✍ Lianghong Xu; Jianhong Shi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 128 KB

This paper considers the geometric Hermite interpolation for spacial curves by parametric quartic Bézier curve. In additon to position and tangent direction, the curvature vector is prescribed at each knot. We prove that under appropriate assumptions the interpolant exists locally with one degree of