LI Xiao-lei1, PAN Jin-xiao1, LIU Bin1, CHEN Ping1,2
（1. Shanxi Key Laboratory of Signal Capturing & Processing, North University of China, Taiyuan 030051, China；2. Key Laboratory of Molecular Imaging, Institute of Automation, Chinese Academy of Sciences, Beijing 100190， China）
Abstract： To extract the symmetric axis of rigid target accurately, a symmetric axis detection method is proposed based on Hough algorithm. A bullet is selected as a research object. Firstly, the original image is collected and the characteristics of the target image are analyzed. Because the symmetric axis detection depends on the edge detection of the image, it is necessary to use relevant operators to detect the edge and get all possible edge points. Secondly, all possible symmetric axes related to all contour points acquired are determined by Hough transform, and all possible inclination angles and intercepts and their ranges are obtained. Finally, by using least squares method, when the distance between the symmetric points of the contour points from the one edge and the contour points from the other edge is the minimum, the optimal symmetric axis is got. Simulation results show that the proposed method can improve noise-resistance and precision of symmetric axis detection and has certain practical value.
Key words： Hough transform; symmetric axis; least squares method
CLD number： TN911.73 Document code： A
Article ID： 1674-8042（2015）04-0342-05 doi： 10.3969/j.issn.1674-8042.2015.04.007
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基于Hough算法的图像对称轴检测
李晓磊1， 潘晋孝1， 刘宾1， 陈平1,2
（1. 中北大学 信息探测与处理山西省重点实验室， 山西 太原 030051;2. 中国科学院自动化研究所， 中国科学院分子影像重点实验室， 北京 100190）
摘要:为高精度提取对称刚体对象的中轴线， 提出了一种基于Hough变换的图像对称轴检测方法。 本文以子弹为研究对象， 首先采集原始图像， 因刚体边缘是对称轴检测的基础， 采用相关的算子进行边缘检测， 获得所有可能的边缘点。 然后利用测得的所有边缘点， 通过Hough变换确定图像所有可能的对称轴， 进而得到所有的倾斜角和截距及其范围。 最后， 利用最小二乘法计算， 当刚体一边边缘点关于对称轴的对称点到另一边所有边缘点的最小距离之和为最小时， 该对称轴即为最优对称轴， 也是被测对象的中轴线。 仿真实验结果证明， 该算法在一定程度上提高了对称轴检测的抗噪性和精度， 对实际工程应用具有一定的价值。
关键词:Hough变换； 对称轴； 最小二乘法
引用格式：LI Xiao-lei， PAN Jin-xiao， LIU Bin， et al. Symmetric axis detection for images based on Hough algorithm. Journal of Measurement Science and Instrumentation, 2015, 6(4)： 342-346. ［doi： 10.3969／j.issn.1674-8042.2015.04.007］
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