National Natural Science Foundation of China [61100105, 61100107, 61170324, 61272300]; Natural Science Foundation of Fujian Province of China [2011J05007, 2012J01291]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. (c) 2014 Elsevier B.V. All rights reserved
