%0 Journal Article %T 基于Legendre正交矩的亚像素线宽测量方法<br>Algorithm for sub-pixel line width measurement based on the orthogonal Legendre moment %A 王伯雄 %A 杨春毓 %A 李伟 %A 秦垚 %J 清华大学学报(自然科学版) %D 2016 %R 10.16511/j.cnki.qhdxxb.2016.22.012 %X 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。<br>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. %K 线宽测量 %K Legendre %K 亚像素 %K < %K br> %K line width measurement %K Legendre %K sub-pixel %U http://jst.tsinghuajournals.com/CN/Y2016/V56/I2/218