平面轮廓曲线数据的B样条曲线逼近算法

摘要

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 approximation 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 needed in medical implant designing.%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.