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Topology preserving voxelisation of rational Bézier and NURBS curves

✍ Scribed by Wu Zhongke; Feng Lin; Seah Hock Soon


Book ID
114109521
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
371 KB
Volume
27
Category
Article
ISSN
0097-8493

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📜 SIMILAR VOLUMES


Singularities of rational Bézier curves
✍ J. Monterde 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 113 KB

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