𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On parametrization of interpolating curves

✍ Scribed by Imre Juhász; Miklós Hoffmann

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
232 KB
Volume
216
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Curve interpolation based on the canonic
Curve interpolation based on the canonical arc length parametrization
✍ Spiros G. Papaioannou; Marios M. Patrikoussakis 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 536 KB

We use the canonical equations (CE) of differential geometry, a local Taylor series representation of any smooth curve with parameter the arc length, as a unifying framework for the development of new CNC algorithms, capable of interpolating 2D and 3D curves, represented parametrically, implicitly o

The speed-controlled interpolator for ma
The speed-controlled interpolator for machining parametric curves
✍ S.-S. Yeh; P.-L. Hsu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 242 KB

Modern CNC systems are designed with the function of machining arbitrary parametric curves to save massive data communication between CAD/CAM and CNC systems and improve their machining quality. Although available CNC interpolators for parametric curves generally achieve contouring position accuracy

Universal parametrization and interpolat
Universal parametrization and interpolation on cubic surfaces
✍ Rainer Müller 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 730 KB

Universal parametrizations make it possible to find all rational parametrizations and all rational curves on an implicit surface. The rational curves and patches can be described with optimal degree as images under such a universal parametrization. Hence, the rational curves on the surface can be cl

Local control of interpolating rational
Local control of interpolating rational cubic spline curves
✍ Qi Duan; Fangxun Bao; Shitian Du; E.H. Twizell 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 851 KB

A rational spline based on function values only was constructed in the authors' earlier works. This paper deals with the properties of the interpolation and the local control of the interpolant curves. The methods of value control, convex control and inflection-point control of the interpolation at

Point control of rational interpolating
Point control of rational interpolating curves using parameters
✍ Fangxun Bao; Qinghua Sun; Jianxun Pan; Qi Duan 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 337 KB

A rational cubic spline, a kind of smooth interpolator with cubic denominator, is constructed using function values and first derivatives of a function. In order to meet the needs of practical design, a new method of value control, inflection-point control and convexity control of the interpolation