Error Estimate of Approximate Double Circular Arc Interpolated Method for Curve Smoothing

Zi Qiang Zhang; Qiu Sheng Yan; Zhi Dan Zheng; Shao Bo Chen

doi:10.4028/www.scientific.net/MSF.471-472.92

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Error Estimate of Approximate Double Circular Arc Interpolated Method for Curve Smoothing

Abstract:

Approximate Double Circular Arc Interpolated Method which was put forward by author, is different from other circular arc interpolated methods in demanding only the corner between normal directions of each circular arcs at intersection point are less than designated allowed value but not demanding contiguous circular arcs are tangent, and makes the calculating be predigested. In order to estimate error of the method, emulated calculating is carried out, namely the course of curve being obtained by reverse engineering is simulated in this paper. The results show: if space between measure points is about 0.1mm in curve being obtained by reverse engineering, then, the most departure of smoothing results from original curve is 0.552μm for the stated example. Influence of the error on NC machining is quite small, so it can meet the needs of NC machining.