三维牙颌模型的牙齿形状建模方法  

Tooth Shape Modeling Scheme for 3D Dental Model

作　　者：袁天然[1] 廖文和[1] 程筱胜[1] 戴宁[1] 俞青[2] 

机构地区：[1]南京航空航天大学机电学院,南京210016 [2]南京市口腔医院口腔修复科,南京210008

出　　处：《计算机辅助设计与图形学学报》2010年第4期703-710,共8页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家"八六三"高技术研究发展计划(2005AA420240);江苏省科技攻关项目(BE2005014)

摘　　要：针对三维牙颌模型由于齿间粘连导致单颗牙齿局部形状缺失的问题,提出一种综合性的牙齿形状建模方法.根据三维牙颌模型的形态特征,采用基于曲面最小主曲率的方法对粘连区域进行准确的检测提取;对删除齿间粘连区域后生成的齿间开口利用局部最优化权值规则进行剖分并细分优化,生成"中间"恢复曲面;根据牙齿的生理医学特征,以齿间开口的边界信息为约束条件,采用基于最小化曲面能量函数的方法对"中间"恢复曲面进行变形调整,实现单颗牙齿缺失形状的准确恢复.实验结果表明,采用文中方法能取得满足临床口腔医学要求的形状建模结果.A comprehensive tooth shape modeling scheme is presented to reconstruct the missing part of each tooth due to teeth adhesion on the 3D dental model. The adhesion region between two adjacent teeth on the 3D dental model is first detected by exploiting the minimum principal curvature information. Then, the adhesion region is cut off and the tooth profile opening caused by the removal of the adhesion region is filled with triangular patches adopting a local optimization scheme, it is then refined to form an intermediate restoration surface patch. The final restoration result is obtained by minimizing the surface energy to reflect the bio-characteristics of the single tooth. Experimental results demonstrate that the missing profile shape of a single tooth on the 3D dental model can be restored faithfully, thus meeting the requirements of dentistry, oral surgery ＆ medicine.

关 键 词：三维牙颌模型 口腔CAD/CAM 牙齿形状建模 区域分析 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术] R246.83[自动化与计算机技术—计算机科学与技术]