Cubic NURBS Representation of Ellpse and Creation Algorithm
Zhou Liangde · Natural Science Journal of Xiangtan University · 2004
This paper introduces a method of cubic NURBS representation of circular arcs and circle at first. Then, it presents a method of ellipse representation by cubic NURBS and the creation algorithm .At the same time it gets a condition for the representation of ellipse. The differentiate and the connection between the representation of ellipse and circle by cubic NURBS was also discussed in it. This paper indicates that actually the representation of circle by cubic NURBS is a special situation for the representation of ellipse by cubic NURBS: the representation of ellipse by cubic NURBS translate into the representation of circle by cubic NURBS while the long axis is equal to the short axis and this is in according with the relation of algebra equation between circle and ellipse.