基于B-样条分形插值的垂直尺度因子的计算方法  

Calculating Method of Contraction Operators in Fractal Interpolation Based on the B-spline

作　　者：李国璋[1] 黄建波[2] 黄海英[2] 

机构地区：[1]军械工程学院火炮工程系,河北石家庄050003 [2]军械工程学院基础部,河北石家庄050003

出　　处：《军械工程学院学报》2006年第2期76-78,共3页Journal of Ordnance Engineering College

摘　　要：将线性分形插值推广到B-样条上,可避免线性分形插值局限性,进一步扩大分形理论的应用范围.分形插值应用的关键问题,是如何合理地确定垂直尺度因子di的值,而它的计算却没有一种很有效的方法.通过解析方法,获得了均匀B-样条分形插值“S”点的代数解,从而,可准确计算出垂直尺度因子,解决了影响B-样条分形插值应用的难题.Linear fractal interpolation has been applied in many fields. It can make the linear fractal interpolation applied extensively that put the B - spline in the linear fractal. The key of the linear fractal interpolation is to define the contraction operators dirationally, and we have not any effective method to define the contraction operators now. Through this paper the analytic solution of even B - spline fractal interpolation and the contraction operators can be got accurately.

关 键 词：B-样条 分形插值 垂直尺度因子 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术] O241[自动化与计算机技术—计算机科学与技术]