Effective computation of singularities of parametric affine curves
✍ Scribed by Hyungju Park
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 112 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0022-4049
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📜 SIMILAR VOLUMES
Pages 224 and 226 of the original version are erroneous due to a technical problem. The correct version is given below.
We prove that if an nth degree rational Bézier curve has a singular point, then it belongs to the two (n -1)th degree rational Bézier curves defined in the (n -1)th step of the de Casteljau algorithm. Moreover, both curves are tangent at the singular point. A procedure to construct Bézier curves wit
In this paper we present a probabilistic algorithm which computes, from a ÿnite set of polynomials deÿning an algebraic variety V , the decomposition of V into equidimensional components. If V is deÿned by s polynomials in n variables of degrees bounded by an integer d ¿ n and V = r '=0 V ' is the e