A simple algorithm for designing developable Bézier surfaces
✍ Scribed by Günter Aumann
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 564 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0167-8396
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✦ Synopsis
An algorithm is presented that generates developable Bézier surfaces through a Bézier curve of arbitrary degree and shape. The algorithm has two important advantages. No (nonlinear) characterizing equations have to be solved and the control of singular points is guaranteed. Further interpolation conditions can be met.
📜 SIMILAR VOLUMES
We approach surface design by solving a linear third order Partial Differential Equation (PDE). We present an explicit polynomial solution method for triangular Bézier PDE surface generation characterized by a boundary configuration. The third order PDE comes from a symmetric operator defined here t
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