𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A subdivision algorithm for axisymmetric sections

✍ Scribed by S.T. Tan; K.C. Chan


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
342 KB
Volume
16
Category
Article
ISSN
0010-4485

No coin nor oath required. For personal study only.

✦ Synopsis


In the generation of curved surfaces through a subdivision process, Sabin and Doo applied and extended Chaikin's algorithm to three dimensions by using linear combinations of the vertices of a polyhedron. A similar smoothing subdivision algorithm was brought out by Catmull and Clark. This paper describes an alternative algorithm which uses a similar approach but applies to sections of axisymmetric objects. It shows that axisymmetric free-formed surfaces can be generated easily and efficiently.


📜 SIMILAR VOLUMES


A subdivision algorithm for generalized
✍ M.K. Jena; P. Shunmugaraj; P.C. Das 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 394 KB

In this article we present a computationally efficient subdivision algorithm for the evaluation of generalized Bernstein-Bézier curves. As particular cases we have subdivision algorithms for classical as well as trigonometric Bernstein-Bézier curves.

A subdivision algorithm for smooth 3D te
✍ Norbert Pfeifer 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 399 KB

Current terrain modelling algorithms are not capable of reconstructing 3D surfaces, but are restricted to so-called 2.5D surfaces: for one planimetric position only one height may exist. The objective of this paper is to extend terrain relief modelling to 3D. In a 3D terrain model overhangs and cave