This paper proposes a design technique using an S-shaped and C-shaped transition curves. A simple algorithm will be proposed in this paper where this algorithm will be based on Habib and Sakai [1]. In order to use this algorithm, a few constraints are considered such as the continuity, control points, curvature, radius etc. In this paper, we will apply this algorithm to design a spur gear tooth and vase in the two and three dimensional. The function involved is Bezier like cubic function with the smoothness is G{sup}2 continuity.
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