In this paper, an interpolating method for bivariate cubic splines with C2-join on type-II triangular at a rectangular domain is given, and the approximation degree, inter- polating existence and uniqueness of the cub...
This work was supported by National Natural Science Foundation of China (Grant No. 60473130) ;National Program on Key Basic Research project (Grant No. G2004CB318000).
The shape-adjustable curve constructed by uniform B-spline basis function with parameter is an extension of uniform B-spline curve. In this paper, we study the relation between the uniform B-spline basis functions wit...
Project supported by the National Natural Science Foundation ofChina (No. 60473130);the National Basic Research Program(973) of China (No. G2004CB318000)
This paper presents a quadratic programming method for optimal multi-degree reduction of B6zier curves with G^1-continuity. The L2 and I2 measures of distances between the two curves are used as the objective function...
Project supported by the National Natural Science Foundation of China (No. 60473130);the National Basic Research Program(973) of China (No. 2004CB318000)
As three control points are fixed and the fourth control point varies, the planar cubic C-curve may take on a loop, a cusp, or zero to two inflection points, depending on the position of the moving point. The plane ca...