A simple procedure, that can be used to determine the complicated camoid profile with an oscillating spherical follower and to decide the cutter path with the predictable surface roughness, is presented. In the profile design stage, it employs the theory of envelope for a family of surfaces with two independent parameters to derive the camoid contour. Also, the pressure angle is investigated by means of the analytical expression of the camoid. The results are compared to those obtained by using the principle of contact point between the camoid and the follower. Based on the chordal deviation and the scallop height, the surface roughness is analyzed in the machining process. An example is given to illustrate the application of the proposed method.

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