不完整轮廓的椭圆拟合误差分析
TP391.4; 在计算机图像处理过程中,受光照条件和摄像机安装位置的影响,对图像进行边缘提取后,经常存在椭圆轮廓提取不完整的情况.拟合此残缺轮廓结果与原椭圆形状出现偏差,拟合误差较大,影响拟合精度.该文研究了残缺轮廓的特征对误差的影响程度,利用MATLAB数值仿真的方法依次做不同位置的残缺椭圆弧段,对弧段进行边缘提取,基于最小二乘法对弧段进行椭圆拟合,分析相角、弧长完整度和椭圆长短轴之比三个因素对椭圆拟合误差的影响.拟合误差随三个因素变化的曲线表明,三个因素都对拟合误差有显著影响.不同相角处的轮廓拟合效果差异大;弧长完整度越大,椭圆长短轴之比越小,则拟合误差越小....
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| Published in | 东华大学学报（英文版） Vol. 41; no. 3; pp. 323 - 332 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | Chinese |
| Published |
东华大学机械工程学院,上海 201620
2024
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| Subjects | |
| Online Access | Get full text |
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| Abstract | TP391.4; 在计算机图像处理过程中,受光照条件和摄像机安装位置的影响,对图像进行边缘提取后,经常存在椭圆轮廓提取不完整的情况.拟合此残缺轮廓结果与原椭圆形状出现偏差,拟合误差较大,影响拟合精度.该文研究了残缺轮廓的特征对误差的影响程度,利用MATLAB数值仿真的方法依次做不同位置的残缺椭圆弧段,对弧段进行边缘提取,基于最小二乘法对弧段进行椭圆拟合,分析相角、弧长完整度和椭圆长短轴之比三个因素对椭圆拟合误差的影响.拟合误差随三个因素变化的曲线表明,三个因素都对拟合误差有显著影响.不同相角处的轮廓拟合效果差异大;弧长完整度越大,椭圆长短轴之比越小,则拟合误差越小. |
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| AbstractList | TP391.4; 在计算机图像处理过程中,受光照条件和摄像机安装位置的影响,对图像进行边缘提取后,经常存在椭圆轮廓提取不完整的情况.拟合此残缺轮廓结果与原椭圆形状出现偏差,拟合误差较大,影响拟合精度.该文研究了残缺轮廓的特征对误差的影响程度,利用MATLAB数值仿真的方法依次做不同位置的残缺椭圆弧段,对弧段进行边缘提取,基于最小二乘法对弧段进行椭圆拟合,分析相角、弧长完整度和椭圆长短轴之比三个因素对椭圆拟合误差的影响.拟合误差随三个因素变化的曲线表明,三个因素都对拟合误差有显著影响.不同相角处的轮廓拟合效果差异大;弧长完整度越大,椭圆长短轴之比越小,则拟合误差越小. |
| Abstract_FL | In computer image processing,owing to the influence of lighting conditions and camera installation locations,incomplete ellipse contour extraction often occurs after the edge extraction of the image.By fitting this residual contour,the result deviates from the original elliptical shape and the fitting error is large,which affects the fitting accuracy.The degree of influence of the characteristics of the incomplete contour on the error was studied,and a numerical simulation method in MATLAB was used to perform incomplete elliptical arc segments at different positions,edge extraction on the arc segment,and ellipse fitting on the arc segment based on the least squares method.The influence of multiple factors,such as the phase angle,the arc length integrity,and the axis ratio of the ellipse on the ellipse fitting error was analyzed,which was significant in understanding the causes of error generation and improving the fitting accuracy.The curves of the fitting error with the three factors yield that all three factors have a significant effect on the fitting error.The effect of contour fitting at different phase angles varies greatly,and the greater the arc length integrity and the smaller the axis ratio of the ellipse,the smaller the fitting error. |
| Author | 赵晨 许纶有 邹鲲 吴昊 |
| AuthorAffiliation | 东华大学机械工程学院,上海 201620 |
| AuthorAffiliation_xml | – name: 东华大学机械工程学院,上海 201620 |
| Author_FL | WU Hao ZHAO Chen ZOU Kun XU Lunyou |
| Author_FL_xml | – sequence: 1 fullname: ZHAO Chen – sequence: 2 fullname: ZOU Kun – sequence: 3 fullname: XU Lunyou – sequence: 4 fullname: WU Hao |
| Author_xml | – sequence: 1 fullname: 赵晨 – sequence: 2 fullname: 邹鲲 – sequence: 3 fullname: 许纶有 – sequence: 4 fullname: 吴昊 |
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| DOI | 10.19884/j.1672-5220.202309003 |
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| DocumentTitle_FL | Error Analysis of Ellipse Fitting for Incomplete Contour |
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| Keywords | 椭圆拟合 least squares method 最小二乘法 ellipse fitting 拟合误差 simulation method 仿真方法 fitting error |
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| Title | 不完整轮廓的椭圆拟合误差分析 |
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