And at the same time,G1,C1 smooth splicing condition between two CE-Bézier surfaces in u and v directions is derived and the curved surface splicing condition is further simplified by choosing the control parameters properly with some geometric modeling examples given.

Based on the analysis of the basis functions and terminal properties for CE-Bézier curve,the necessary and sufficient splicing conditions of G1,G2 and C1,C2 between two CE-Bézier curves are proposed.

Interpolation of large scale scattered data based on Bézier surface;

The mould's surface fitted with the bi cubic Bézier surface patches was introduced in the numerical simulation system.

In order to deal with the friction condition and the contact boundary condition between the billet and the die in the forging process of blade, according to the features of blade geometry and its dies, we first fit the dots scattering on the die into a group of Bézier surface patches with meshes (Fig.

To transfer and store the data in different modeling systems,an optimization algorithm for multi-degree reduction of tensor product Bézier surfaces is proposed with some restrained conditions.