C1 Smooth Triangular Surface Patch Constructed by C-curves

Wei LI, Ichiro HAGIWARA, Zhuoqi WU
2005 JSME international journal. Series C, Mechanical systems, machine elements and manufacturing  
In this paper, a method of constructing C 1 triangular patch using C-curves is presented. C-curves are developed by using the basis {sint,cost,t,1} by Zhang (1) -(3) , Pottmann and Wagner (4) , and it overcomes 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 Ref. (3), tensor product quadrilateral
more » ... have been constructed using Ccurves. By using the side-vertex method proposed by Nielson (5) , a method for constructing C 1 triangular patch using C-curves is proposed in this paper. The constructed triangular patch interpolates the positions and the first derivatives of the boundary composite C-Bézier curves.
doi:10.1299/jsmec.48.159 fatcat:aotjrq6rp5clnbm5tqu2htardm