Ellipse Fitting Using Orthogonal Hyperbolae and Stirling's Oval

Paul L. Rosin
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引用次数: 37

Abstract

Two methods for approximating the normal distance to an ellipse using (a) its orthogonal hyperbolae and (b) Stirling's oval are described. Analysis with a set of quantitative measures shows that the former provides an accurate approximation with few irregularities or biases. Its suitability is evaluated by comparing several approximations as error of fit functions and applying them to ellipse fitting.

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利用正交双曲线和斯特林椭圆进行椭圆拟合
描述了用(a)椭圆的正交双曲线和(b)斯特林椭圆逼近椭圆法向距离的两种方法。用一组定量测量的分析表明,前者提供了一个精确的近似,几乎没有不规则或偏差。通过比较几种近似拟合函数的误差,并将其应用于椭圆拟合来评价其适用性。
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ERRATUM Two-Dimensional Direction-Based Interpolation with Local Centered Moments On Computing Contact Configurations of a Curved Chain Unification of Distance and Volume Optimization in Surface Simplification REVIEWER ACKNOWLEDGMENT
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