B样条曲线在口腔修复体高速数控加工中的应用  

B-spline curves for high speed CNC machining for tooth restoration

作　　者：张辉[1] 夏必忠[2] 叶佩青[1] 郑子文[1] 吕强[1] 

机构地区：[1]清华大学精密仪器与机械学系,北京100084 [2]清华大学深圳研究生院,深圳518055

出　　处：《清华大学学报（自然科学版）》2009年第11期1774-1778,共5页Journal of Tsinghua University(Science and Technology)

基　　金：国家"八六三"高技术项目(2005AA420240)

摘　　要：口腔修复体的CAD/CAM技术要求有高速数控加工设备实现。该文研究了口腔修复体的表面特征,提出了应用三次均匀B样条插补算法实现高速数控加工要求。引入B样条曲线的"重叠拼接"概念,研究了重叠型值点数与曲线光滑性的关系;提出了考虑曲线曲率变化确定速度"规划单元"长度的解决方案;讨论了跨单元插补、规划单元终点处理的特殊问题。该文成果已经应用于自行研制的口腔修复体数控加工设备上。实验结果表明,该算法在速度和精度上能够满足口腔修复体的加工要求。A high speed computer numerical control （CNC） manufacturing system was developed using CAD/CAM systems for tooth restoration. The tooth profile was modeled using a cuhic uniform B-spline interpolator for the high speed CNC machining. An overlapping combination method was developed to provide smooth transitions between the B spline segment based on the number of overlapping points and the requirement of C2 continuity. The length of the planning unit for the look ahead velocity planning was based on the change of the curvature of the curve. A method was also developed to more effectively interpolate between the planning units based on the treatment at the end of the planning unit during the interpolation. A CNC milling machine for tooth restoration was developed that satisfies the manufacturing requirements for high speed, accurate tooth restoration.

关 键 词：数控系统 口腔修复体 B样条曲线 

分 类 号：TG659[金属学及工艺—金属切削加工及机床]