In this paper, a new algorithm for representing conics precisely is presented using NURBS of degree two. The algorithm requires only four control vertices, which is the minimum number of control vertices compared with...In this paper, a new algorithm for representing conics precisely is presented using NURBS of degree two. The algorithm requires only four control vertices, which is the minimum number of control vertices compared with the other algorithms using the square control vertice configuration, to represent a full circle using the full circumscribing square based representation. This paper also derives a new con- dition for NURBS to precisely represent conics and shows the necessary and sufficient condition of rep- resentation of a circular arc.展开更多
基金This paper is partly supported by National Postdoctor Science Foundation.
文摘In this paper, a new algorithm for representing conics precisely is presented using NURBS of degree two. The algorithm requires only four control vertices, which is the minimum number of control vertices compared with the other algorithms using the square control vertice configuration, to represent a full circle using the full circumscribing square based representation. This paper also derives a new con- dition for NURBS to precisely represent conics and shows the necessary and sufficient condition of rep- resentation of a circular arc.
