The procedure of positioning of pipes, for example for the automobile exhaust construction, by the use of 3D CAD systems is difficult and time consuming because of obstacles in an engine compartment. There are also further strong technical requirements and restrictions. An automatic generation procedure based on the level set method and the numerical solution of the Eikonal equation is proposed. The positions of pipes which satisfy the technical requirements are obtained using spline functions.

中文翻译：

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自动管道的Eikonal方程的数值解

由于引擎室中的障碍，通过使用3D CAD系统来定位例如用于汽车排气构造的管道的过程是困难且耗时的。还有更严格的技术要求和限制。提出了一种基于水平集法和Eikonal方程数值解的自动生成程序。使用样条函数可以获得满足技术要求的管道位置。