平面轮廓曲线数据的B样条曲线逼近算法  

Algorithm of B-spline curve approximation for given plane profile data

作　　者：黄雪梅[1] 郝园[1] 张磊安[1] 王金川[1] 

机构地区：[1]山东理工大学机械工程学院,淄博255049

出　　处：《现代制造工程》2013年第7期129-132,共4页Modern Manufacturing Engineering

基　　金：山东省中青年科学家奖励基金项目(BS2009ZZ017)

摘　　要：周期性封闭B样条曲线曲面是医学内植物设计中曲线、曲面造型的主要构造方法。介绍一种断层医学图像目标组织轮廓样条曲线建模方法。首先从断层医学序列图像中提取出目标组织的轮廓曲线,然后采用多边形逼近简化数据点,之后在满足一定控制误差的条件下,用最小二乘法通过B样条曲线逼近轮廓曲线,用尽可能少的数据量表示出各个断层的轮廓曲线,获得医学内植物设计所需的骨组织轮廓曲线模型。Constructing curve or surface with periodic closed B-spline is the main method of medical implant designing, curve or surface modeling. Will present a modeling method with spline curve in the study of sectional medical images object boundary. First, contour curves of the targeted tissue were extracted from sectional medical image. Then, adopt a method of polygonal approx- imation to to simplify data. Finally, under the error control, periodic B-spline was used to approximate the curve as closed curve with the least-square theory. It can describe contour curve with a few symbols and get the curve model of bone tissue what is nee- ded in medical implant designing.

关 键 词：B样条曲线 断层图像 轮廓跟踪 多边形逼近 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]