𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Designing curved surfaces with analytical functions

✍ Scribed by D.J. de Groot


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
371 KB
Volume
9
Category
Article
ISSN
0010-4485

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✦ Synopsis


Shaping and computer-interactive design of curved surfaces of industrial objects, where artistic freedom is allowed for the outward appearance, is a time-consuming job particularly when feeding the computer program with the necessary geometrical input data. A design method is presented together with practical results of designed surfaces composed of simple analytical functions. Human input of geometrical and artistic data has been minimized. Smoothness and fairness are created by the surface composing functions.


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Local interpolation with weight function
✍ A.P. Pobegailo πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 198 KB

Straight-line and circular-arc segments with weight functions are used for interpolation. The smoothness of the curve depends on the weight functions. Variable smoothness can be achieved by changing the weights. The proposed technique is useful in robotics and numerically controlled machining, becau