沿任意方向的曲线映射计算方法研究

Study on Calculation Method of Curvilinear Mapping at Any Direction

提出了一种新颖的自由曲面上影射曲线的计算方法，该方法通过把沿任意方向曲线向曲面影射的问题转化为一系列等参数曲线与一般柱面的求交问题，从而把三维模型空间转变到二维的参数空间，提高了计算效率。由于采用了ＮＵＲＢＳ方法，使所有的曲线曲面表示都统一在同一种形式之下，更有利于后续的处理工作。

This paper introduces a novel computing method of mapping curvilinear on free formed surfaces. The method turns the sophisticated computing problem of three dimensional space into computing problem of two dimensional space with parameters, and results in improving the computing efficiency, through changing the problem of the mapping from any direction curvilinear to free formed surface into the problem of working out the intersecting points of a number of curvilinear with same parameters and general cylindrical surfaces. All of curvilinear and free formed surfaces are expressed in the same form for the utility of NURBS method, and it is advantage for the subsequent treating.