𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the local shape effect of a moving control point

✍ Scribed by G.D. Koras; P.D. Kaklis

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
453 KB
Volume
20
Category
Article
ISSN
0167-8396

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we prove that the domain, where a control point of a parametric surface is permitted to move in order to ascertain local convexity at a finite set of parametric points, is a convex polyhedron. This result can be exploited for fine surface design, which is herein illustrated for two test surfaces.

πŸ“œ SIMILAR VOLUMES

Bounds on the Moving Control Points of H
Bounds on the Moving Control Points of Hybrid Curves
✍ Guo-Zhao Wang; Jian-Min Zheng πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 257 KB

and M n,m (t) is the so called moving control point which is itself a rational Be Β΄zier curve of same degree and same Hybrid curves provide an attractive method for approximating rational Be Β΄zier curves by polynomial Be Β΄zier curves. In this weights as the initial rational curve, i.e., paper, sever

The effective mass of a point mass movin
The effective mass of a point mass moving along a string on a Winkler foundation
✍ S.N. Gavrilov πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 234 KB

A simple in form and physically clear asymptotic solution of the problem of the motion (without friction) of a point mass acted upon by a specified external force on a string on a Winkler foundation is obtained, taking into account the wave drag on the motion. It is shown that the point mass moves a