¹College of Information Engineering, Northwest A&F University, No.22, XiNong Road, YangLing ShannXi 712100, China
²Technology of thermal power, Yunnan Power Technologies Inc, Kunming Yunnan 650200, China

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Abstract—In order to eliminate the weakness of large volumes data in 3D modeling process, a fast and efficient sampling method based on curvature analysis of cubic B´ezier curve is presented. With the method, the characteristic points and curvature maximum value of cubic B´ezier curve are used as the reference standard of the sampling interval and density. For cubic B-spline curves, the sampling data can be obtained by dividing them into some cubic B´ezier curves. Some experimental results show that this method is feasible and effective for the sampling of cubic free-form curves.

Index Terms—Cubic B´ezier curve, Geometric Construction, Curvature Analysis, Cubic B-spline curve, Sampling

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Cite: Zhiyi Zhang, Xian Zhang, Huayang Zhang, "A sampling method based on curvature analysis of cubic B´ezier curve," Journal of Computers vol. 9, no. 3, pp. 595-600, 2014.