Abstract
Second-order interpolation is essential in the manufacturing of curve contours. Especially, according to different part shape, corresponding interpolation algorithms are required. However, the problems of how to determine the parameters of conic sections, how to reduce computational time and how to minimize the contour error according to desired accuracy have not been completely solved. On the basis of the principle of central angle division of an arc, this paper develops an elliptic interpolation algorithm for elliptic gears. And the idea is extended to general second-order interpolation. Although their representing equations are different, the proposed recursive algorithm flows for different conic sections are similar, which is very easy for computer to satisfy the interpolation requirements.
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