An improvement on the upper bounds of the magnitudes of derivatives of rational triangular Bezier surfaces

作者：Liu Yanhong; Zeng Xiaoming; Cao Juan^*

来源：Computer Aided Geometric Design, 2014, 31(5): 265-276.

DOI：10.1016/j.cagd.2014.04.001

• Rational surface
• Triangular Bezier surface
• Upper bound
• Magnitude of derivative

New bounds on the magnitudes of the first- and second-order partial derivatives of rational triangular Bezier surfaces are presented. Theoretical analysis shows that the proposed bounds are tighter than the existing ones. The superiority of the proposed new bounds is also illustrated by numerical tests.

• 出版日期2014-6
• 单位厦门大学