Construction of triangular DP surface and its application
نویسندگان
چکیده
In this paper, a new type of bivariate basis on a triangle is presented, which is constructed by extending the univariate NTP basis proposed by Delgado and Peña. Some algebraic properties and its recursive formulae are given. Then a new type of surfaces that is called triangular DP surface is defined, and its recursive evaluation algorithm is obtained. Also, in the case of low degree, its subdivision algorithmand degree elevation algorithmare derived. It is shown that this type of surfaces is obviouslymore advantageous than triangular Bézier surface, and hence extremely useful for geometric design, especially for the situation in which the surface needs to be evaluated quickly. © 2007 Elsevier B.V. All rights reserved.
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