This study deals with a novel generation method of tool paths in a main-processor of a CAM. Currently, some tool path generation methods such as contouring path, scanning path, spiral path and constant scallop height path are installed in several CAM applications. However, since these tool paths are generated by differential operations and convergence calculations, complex branches on conditions are required, and the operation is unstable behavior at extremum neighborhood. It still threatens to cause clash of the operation. Therefore, two parameters (u, v) composing a machined surface are the focus of this study. In our proposed method, machining points are calculated on a plane constructed by the parameters. Then, since the calculation is executed in response to the real space, a homogeneous tool path is obtained. By using our proposed method, it is possible to generate tool paths quickly and effectively without the extremum problem and complex branches on conditions. This paper explains the particulars of our proposed method and the implementation method for two spiral paths. Finally, the effectiveness of our method is confirmed with machined workpieces.
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