摘要
在曲线细分过程中引入六个参数,构造出一种新的四点多参数细分Binary曲线算法。对四点多参数Binary细分法的一致收敛性、连续性进行分析,该算法使Dyn四点法以及2到6次均匀B样条细分曲线成为特例。通过对形状参数的适当选择来实现对细分极限曲线形状的调控,增加曲线造型的灵活性,并给出造型实例。
Brings forward a new algorithm of subdivision curves through importing six parameters in subdivision curves.Analyses the sufficient conditions of the uniform convergence property and continuity properties of the four point binary subdivision scheme with many parameters,and the DYN four point subdivision scheme and 2-6 order uniform B-spline subdivision curves as its special cases.The subdivision curve shape can be adjusted and controlled through selecting appropriate parameters.The curve modeling is flexible with six parameters.Gives some examples of the curve design.
基金
黑龙江省教育厅科学技术项目(No.11551543)
关键词
Binary细分
生成多项式
收敛性
连续性
Binary Subdivision
Generating Polynomial
Uniform Convergence
Continuity
