2005 年 48 巻 2 号 p. 159-163
In this paper, a method of constructing C1 triangular patch using C-curves is presented. C-curves are developed by using the basis {sin t, cos t, t, 1} by Zhang, Pottmann and Wagner, 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 patches have been constructed using C-curves. By using the side-vertex method proposed by Nielson, a method for constructing C1 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.
JSME international journal. Ser. 1, Solid mechanics, strength of materials
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing
JSME International Journal Series A Solid Mechanics and Material Engineering
JSME International Journal Series B Fluids and Thermal Engineering