基于B样条的平面轮廓重构闭合曲面算法

Algorithm of Reconstructing Closed Surface for Planar Contours Based on B-spline

由一组平行轮廓线重构三维闭合表面是三维可视化研究的主要内容之一。文中通过对B样条插值算法的研究,提出了一种新的公共节点矢量确定方法,利用该方法首先对经过预处理的CT牙齿图片提取轮廓线获得三维数据点,之后对轮廓线数据点进行B样条曲线的拟合,在每条拟合曲线上根据所确定的节点矢量值重新采样,由重新采样的三维数据点利用B样条曲面插值算法构造闭合曲面,所构造的闭合曲面是对原始轮廓数据的拟合。通过实例验证可看出该方法可获得较好的拟合曲面,经过误差分析检测,满足拟合条件,因此该方法可以保证几何重建的准确性。

3D surface reconstruction from a group of parallel contours is a main topic of 3D visualization. By the study of the B- spline interpolation method, a new ascertain method about common node vector is presented. After pre- processed CT pictures and fitted contour data using B- spline curve, a group of new contour data are sampled in every fitted curve according to the new node vector value. Then, closed surface can be reconstructed by use of the B- spline interpolation method, which is an approximate surface for original contour data. An experimental results and error analysis show that not only is the presented method practicable, hut also the fitted result is grace. So, this method could assure the veracity of geometry reconstruction.