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In this paper we approximate a cylindrical helix by bi-conic and bi-quadratic Bezier curves. Each approximation method is end-points interpolation of the helix.
We present a sharp upper bound of the Hausdorff distance between the helix and each approximation curve.
We also show that the error bound has the approximation order three and monotone increases as the length of the helix increases. As an illustration we give some numerical examples.
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참고문헌 (23)
참고문헌 신청
/ / Best approximation of circle segments by quadratic Bezier curves
/ 1007 / Approximation of circular arcs by Bezier curves 81 : 145 ~ 163
/ 1983 / Curve .tting with conic splines 2 : 1 ~ 31
/ 1985. / Techniques for conic splines in Proceedings of SIGGRAPH 85 : 151 ~ 159
/ 1986 / The sphere as a rational Bezier surfaces 3 : 45 ~ 52
/ 1007 / Approximation of circular arcs by Bezier curves 81 : 145 ~ 163
/ 1983 / Curve .tting with conic splines 2 : 1 ~ 31
/ 1985. / Techniques for conic splines in Proceedings of SIGGRAPH 85 : 151 ~ 159
/ 1986 / The sphere as a rational Bezier surfaces 3 : 45 ~ 52
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