New minimal bounds for the derivatives of rational Bézier paths and rational rectangular Bézier surfaces
✍ Scribed by Bez, H.E.; Bez, N.
- Book ID
- 122201380
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 266 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0096-3003
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This paper applies inequality skill, degree elevation of triangular Bézier surfaces and difference operators to deduce the bounds on first and second partial derivatives of rational triangular Bézier surfaces. Further more, we prove that the new bounds are tighter and more effective than the known o
Conversion methods are required for the exchange of data. First a given rational B-spline surface with curved boundaries will be segmented by curvature oriented arguments, then these patches will be converted into bicubic or biquintic integral B4zier patches with help of geometric continuity conditi