TRIANGULAR SURFACE PATCHES CONSTRUCTED BY C-CURVES
作者单位：Tokyo Institute of Technology Japan Japan Science and Technology Agency Japan
会议名称：《第十一届几何与图学国际会议》
会议日期：2004年
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
关 键 词：Triangular patch C-curves Barycentric coordinate Non-uniform rational B-spiines (NURBS) CAD.
摘 要：正C-curves are developed by using the basis{ sin t, cost, t, 1}by Zhang [1, 2], Pottmann and’Wagner [6], and itovercomes some shortcomings of the non-uniform rational B-splines （NURBS） model. For example, it can represent exactly transcendental curves such as the helix and the cycloid. So, how to develop C-curve into surface becomes a very important problem. In [2], tensor product quadrilateral patches have been constructed using C-curves. In this paper, a method for constructing C1 triangular patch using C-curves is presented by using the side-vertex method proposed by Nielson [5]. The constructed triangular patch interpolates the positions and the first derivatives of boundary composite C-Bezier curves.