摘要
由一般的分形插值函数出发,介绍了一类可微的分形插值函数,探讨了它的产生机理以及生成它的迭代函数系所需要满足的充要条件。在此基础上给出分形样条函数的定义。并以三次分形样条函数为例作了研究。分形样条函数插值问题的研究将为计算机图形学和景物仿真从理论上提供新的方法,是对传统样条理论的补充和扩展,具有较好的实际应用价值。
A kind of differentiable fractal interpolation function is introduced. Its generating mechanism and sufficient conditions are discussed. The definition of fractal spline is given and some convergence properties and some calculation results about cubic fractal spline are obtained. The significance of fractal spline exists in the engineering application and CAD. It provides a new method for computer graphics and vision simulation.
出处
《工程图学学报》
CSCD
北大核心
2008年第4期86-90,共5页
Journal of Engineering Graphics
基金
国家自然科学基金资助项目(10071033)
南通大学校级课题资助项目(02030049)
关键词
计算机应用
分形样条
数值计算
边界条件
computer application
fractal spline
numerical calculation
confine condition
