Using the same technique as for the C-B-splines, two other forms of C-Bézier curves and a reformed formula for the subdivisions are proposed. With these new forms, C-Bézier curves can unify the processes for both the normal cases, and the limiting case (α → 0) with precise results. Like the C-B-spli
Generalized Bernstein-Bézier curves and surfaces
✍ Scribed by C-H Lin
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 280 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0010-4485
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✦ Synopsis
This article presents a flexible curve and surface by using an arbitrary choice of polynomial as the basis for blending functions. The curve and surface is a generalization of most well known curves and surfaces. The conditions for various continuities of the curve segments and surface patches at the common boundaries are given to maintain a low order composite curve and surface.
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