基于运动标架和层次表示的NURBS扫描体

This project studies the structure,design and representation methods of swept volumes based on NURBS and moving frames. It researchs on the efficient algorithms for approximating and optimizing moving frames in NURBS form, and the related volume interpolation and rendering methods.the representation of moving frames, the construction of swept volumes and rendering is an important topic in the research fields. It has both theortic and practical meaning in the fields of CAD, CAM Maching, Robotics and Computer Graphics.

研究基于运动标架和层次表示的NURBS扫描体的构造、表示和设计方法。研究带约束运动标芫哂蠳URBS表示的条件及其层次表示、优化逼近的高效算法；研究基于拓扑分类的扫描体求解算法。运动标架的表示与扫描体的构造是一个国际前沿的重要课题，传统方法计算费时或者无NURBS表示形式。本项研究在CAD、CAM模具加工、机器人等领域具有重要应用意义。