Improved bounds on partial derivatives of rational triangular Bézier surfaces
نویسندگان
چکیده
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 ones. All the results are obviously helpful for further optimization of geometric design systems. c © 2007 Elsevier Ltd. All rights reserved.
منابع مشابه
New bounds on the magnitude of the derivative of rational Bézier curves and surfaces
Two bounds on the magnitude of the derivative of rational Bézier curves are presented and compared with the known ones. As an application, we improve the existing bounds on the magnitude of partial derivatives of rational Bézier surfaces. 2005 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Computer-Aided Design
دوره 39 شماره
صفحات -
تاریخ انتشار 2007