基于Legendre正交矩的亚像素线宽测量方法

王伯雄; 杨春毓; 李伟; 秦垚

doi:10.16511/j.cnki.qhdxxb.2016.22.012

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清华大学学报（自然科学版） ›› 2016, Vol. 56 ›› Issue (2) : 218-222. DOI: 10.16511/j.cnki.qhdxxb.2016.22.012

精密仪器

基于Legendre正交矩的亚像素线宽测量方法

王伯雄, 杨春毓, 李伟, 秦垚

作者信息 +

Algorithm for sub-pixel line width measurement based on the orthogonal Legendre moment

WANG Boxiong, YANG Chunyu, LI Wei, QIN Yao

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文章历史 +

摘要

线宽测量对弱小目标检测有重要意义。该文提出了一种基于Legendre正交矩的亚像素线宽检测方法。该方法将一般线宽分解为两个对称线宽之和, 通过推导0、2、4阶Legendre正交矩, 得到对称线宽的计算公式, 最后加和得到实际线宽。针对离散数字图像, 推导并给出了正交矩的模板系数, 并分析了离散带来的测量误差及其修正方法。采用该测量方法对安瓿内标准颗粒异物进行粒径测量, 实验结果表明该方法具有较高的测量精度和效率。

Abstract

Line width measurements are of great importance for detecting small objects. An algorithm is developed for sub-pixel line width measurements based on the orthogonal Legendre moment. The line width is converted into the sum of two different symmetrical line widths. The 0th, 2nd and 4th order orthogonal Legendre moments are used to develop expressions for the symmetrical line widths. Template coefficients of the moments are derived for analyzing digital images and the principle error is analyzed and corrected. Tests of the algorithm for measuring the line widths of standard particles in ampoules show that the algorithm is accurate and efficient.

导出引用

王伯雄, 杨春毓, 李伟, 秦垚. 基于Legendre正交矩的亚像素线宽测量方法[J]. 清华大学学报（自然科学版）. 2016, 56(2): 218-222 https://doi.org/10.16511/j.cnki.qhdxxb.2016.22.012

WANG Boxiong, YANG Chunyu, LI Wei, QIN Yao. Algorithm for sub-pixel line width measurement based on the orthogonal Legendre moment[J]. Journal of Tsinghua University(Science and Technology). 2016, 56(2): 218-222 https://doi.org/10.16511/j.cnki.qhdxxb.2016.22.012

中图分类号： TP391

参考文献

[1] 蔡茂容. PCB图像线宽线距缺陷检测算法研究 [J]. 微计算机信息, 2009, 25(9): 116-118.CAI Maorong. Study on arithmetic of PCB images inspection of circuitry width and the distance between circuitry [J]. Microcomputer Information, 2009, 25(9): 116-118. (in Chinese)
[2] 秦垚, 王伯雄, 李伟, 等. 应用级联分类器检测安瓿内弱小运动目标 [J]. 光学精密工程, 2012, 20(1): 190-196.QIN Yao, WANG Boxiong, LI Wei, et al. Inspection of small moving foreign substances in ampoule based on cascade classifiers [J]. Optics and Precision Engineering, 2012, 20(1): 190-196. (in Chinese)
[3] 李运祥, 丁卫霞, 苏兰海, 等. 热轧带钢在线测宽中的图像分割 [J]. 北京科技大学学报, 2003, 25(4): 365-369.LI Yunxiang, DING Weixia, SU Lanhai, et al. Image segmentation in on-line width measurement of hot strip [J]. Journal of University of Science and Technology Beijing, 2003, 25(4): 365-369. (in Chinese)
[4] Frischholz R W, Spinnler K P. Class of algorithms for realtime subpixel registration [C]//Proceedings of the SPIE: The International Society for Optical Engineering. Munich: SPIE, 1993: 50-59.
[5] 黎俊, 彭启民, 范植华. 亚像素级图像配准算法研究 [J]. 中国图象图形学报, 2008, 13(11): 2070-2075.LI Jun, PENG Qimin, FAN Zhihua. A survey of sub-pixel image registration methods [J]. Journal of Image and Graphics, 2008, 13(11): 2070-2075. (in Chinese)
[6] Ghosal S, Mehrotra R. Orthogonal moment operators for subpixel edge detection [J]. Pattern Recognition, 1993, 26(2): 295-306.
[7] Teague M R. Image analysis via the general theory of moments [J].Journal of the Optical Society of America, 1980, 70: 920-930.
[8] 魏本征, 赵志敏, 华晋. 基于改进形态学梯度和Zernike矩的亚像素边缘检测方法 [J]. 仪器仪表学报, 2010, 31(4): 838-844. WEI Benzheng, ZHAO Zhimin, HUA Jin. Sub-pixel edge detection method based on improved morphological gradient and Zernike moment [J]. Chinese Journal of Scientific Instrument, 2010, 31(4): 838-844. (in Chinese)
[9] Zenkouar H, Nachit A. Images compression using moments method of orthogonal polynomials [J]. Materials Science and Engineering, 1997, 49(3): 211-215.
[10] 黄荣兵, 杜明辉, 梁帼英, 等. 一种改进的伪Zernike矩快速计算方法 [J]. 华南理工大学学报: 自然科学版, 2009, 37(1): 54-58.HUANG Rongbing, DU Minghui, LIANG Guoying, et al. An improved approach to fast computation of pseudo-Zernike moments [J]. Journal of South China University of Technology: Natural Science Edition, 2009, 37(1): 54-58. (in Chinese)
[11] Hu M-K. Visual pattern recognition by moment invariants [J]. Ire Transactions on Information Theory, 1962, 8(2): 179-187.
[12] 葛云, 章东. 基于Legendre正交矩的配准方法在放疗导航中的应用研究 [J]. 电子学报, 2009, 37(7): 1529-1531.GE Yun, ZHANG Dong. A fast matching way using the Legengre orthogonal moment and application in image guided radiotherapy [J]. Acta Electronica Sinica, 2009, 37(7): 1529-1531. (in Chinese)
[13] 秦垚, 王伯雄, 李伟. 基于液面分割的安瓿内漂浮小目标检测算法 [J]. 清华大学学报: 自然科学版, 2012, 52(1): 21-24.QIN Yao, WANG Boxiong, LI Wei. Floating impurity inspection algorithm in ampoule based on liquid level segmentation [J]. Journal of Tsinghua University: Science and Technology, 2012, 52(1): 21-24. (in Chinese)

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收稿日期	出版日期
2012-11-12	2016-02-15
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2016-02-15

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