Curvature variation factor and its application
Curvature variation factor and its application
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DOI：
10.1142/s0219691317500138
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发表时间：
2017-02
期刊：
影响因子：
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通讯作者：
Aizeng Wang;Gang Zhao
中科院分区：
文献类型：
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作者：
Aizeng Wang;Gang Zhao
曲率变化的评估是曲线光顺领域的一个重要问题，传统的评估通常通过定性观察曲率图来进行。利用B样条小波理论，提出曲率变化因子(CVF)的概念来定量描述曲率变化。验证了CVF方法的定量评价结果与传统的定性判断吻合较好。在CVF的基础上，进一步提出了一种新的曲线平滑算法，并通过算例验证了算法的有效性。基于CVF的算法的优点是只需调整形状误差就可以实现不同的光顺效果，以满足不同情况下的不同要求。
Evaluation on curvature variation is a significant problem in the field of curve fairing, and traditional evaluation is generally performed by observing curvature plots qualitatively. By using the theory of B-spline wavelet, the concept of curvature variation factor (CVF) is put forth in this paper to describe curvature variation quantitatively. It is verified that the quantitative evaluation results by the CVF method agree well with the traditional qualitative judgments. Based on CVF, a new curve-fairing algorithm is further put forward, whose validness is verified by an example. The advantage of the CVF-based algorithm is that it can realize different fairing effect to meet different requirements under diverse circumstances only by adjusting the shape error.