Abstract
In this paper, a normalized totally positive (NTP) basis given by Delgado and Pena [5] is used to form non-rational and rational DP-Ball curves. The relationships between rational B?ezier and rational DP-Ball curves are given using homogeneous coordinates. Consequently, an efficient algorithm with linear computational complexity is introduced in order to be used in evaluating the points on rational B?ezier curve. Although the elegant de Casteljau algorithm is proven to be simple and stable. Unfortunately, compared with the linear time complexity of the proposed algorithm, it is not efficient. This algorithm can be used as an altertive algorithm to the popular Wang algorithm.