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基于B样条曲面的牙齿表面三维建模算法研究
引用本文:任歆,赵乃良.基于B样条曲面的牙齿表面三维建模算法研究[J].杭州电子科技大学学报,2008,28(6):63-66.
作者姓名:任歆  赵乃良
作者单位:杭州电子科技大学图形图像研究所,浙江,杭州,310018
基金项目:浙江省钱江人才计划资助项目  
摘    要:牙齿的几何建模在医学上有着十分重要的应用价值,常见的三维牙齿建模通常是基于图像的离散网格模型,不利于进一步数学处理。该文基于散乱的牙齿表面数据,通过对数据分割和参数化,构造多张B样条曲面整体拟合方程,利用最小二乘方法,求得G1光滑连接的B样条三维牙齿表面模型。该文用实例说明牙齿表面的三维重建过程。

关 键 词:牙齿建模  曲面  数据拟合

3D Model Construction of Tooth with B-Spline Surfaces
REN Xin,ZHAO Nai-liang.3D Model Construction of Tooth with B-Spline Surfaces[J].Journal of Hangzhou Dianzi University,2008,28(6):63-66.
Authors:REN Xin  ZHAO Nai-liang
Affiliation:( Institute of Graphics and Image, Hangzhou Oianzi University, Hangzhou Zhejiang 310018, China)
Abstract:The geometric modeling of tooth has a great value in the medical application. Usually the common 3D models of tooth are discrete grid meshes based on the image slice sequence, which is not convenience to the further mathematical processing. In this paper, based on the unorganized points from the tooth, we can obtain 3D model of - connected B - spline surfaces through data segmentation and parameterization. The equations of multiple B - spline surfaces fitting are solved by least - squares method. Finally, the examples of tooth surface reconstruction axe provided.
Keywords:construction of tooth  b - spline surface  data fitting
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