Trimmed NURBS曲面的展开研究

Research on Trimmed NURBS Surface Unrolling

本文分析复杂曲面中的TrimmedNURBS(裁剪面)曲面表达,讨论曲面曲线的展开算法,在此基础上详细描述TrimmedNURBS曲面展开算法的实现步骤,并通过实例介绍展开算法在IGES格式的TrimmedNURBS曲面展开的具体应用。本研究主要用于解决三维柱面设计中经常会遇到螺纹的设计、齿轮的设计、螺旋槽的等设计问题。

How to express the trimmed NURBS surface and the unrolling algorthm on the NURBS surface and curve are discussed in the paper. On the base of the unrolling algorithm, the unrolling process of the trimmed NURBS surface is analyzed, and the sample about the unrolling is give. The research can solve the problem of the three-dimension cylinder design such as screw thread, gear wheel, and screw cap.