Popis: |
In this paper, we give a method for positioning a toroidal tool on a tensor product surface with two points of contact. By firing vertical rays and circular rays from the tensor product surface to the toroidal cutting surface, we can find these two points of contact by solving only quadratic equations, whereas previous methods typically solve transcendental equations using iterative methods. The new method is faster than the methods presented in literature and is independent of the method used to define the part surface. In addition to general applicability, test results on three sample surfaces are presented. |