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基于灰度梯度正则化去噪的改进数字图像相关法 被引量:12

Improved Digital Image Correlation Method Based on Gray Gradient Denoised by Regularization Method
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摘要 为了提高数字图像相关法的抗噪声能力,分析了灰度梯度计算误差对数字图像相关法测量精度的影响,提出采用Tikhonov正则化方法计算图像灰度梯度,进而通过反向组合高斯-牛顿(IC-GN)法计算图像的亚像素位移;基于数值仿真散斑图研究灰度梯度的相对计算误差,并分析采用Tikhonov正则化方法计算图像灰度梯度后,改进数字图像相关法的测量精度,结合实验验证所提方法在实际噪声环境中的抗噪声能力。结果表明:灰度梯度对数字图像相关法测量精度有较大影响,而采用Tikhonov正则化方法后,可以有效提高数字图像相关法的测量精度与抗噪声能力。 To improve the anti-noise ability of the digital image correlation method,we analyze the influence of gray gradient calculation error on the measurement accuracy of the digital image correlation method.An improved algorithm is proposed to calculate the gray gradient of the image by the Tikhonov regularization method and the sub-pixel displacement of the image by the inverse compositional Gauss-Newton(IC-GN)method.On the basis of the numerical simulation of the speckle pattern,the relative calculation error of the gray gradient is studied,and the measurement accuracy of the digital image correlation method is analyzed after calculating the gray gradient of the image by the Tikhonov regularization method.The proposed method is verified by experiments in the noise environment.The results show that the gray gradient has great influence on the measurement accuracy of the digital image correlation method.Meanwhile,the measurement accuracy and the anti-noise ability of the digital image correlation method can be effectively improved by the Tikhonov regularization method.
作者 郑成林 何顶顶 费庆国 Zheng Chenglin;He Dingding;Fei Qingguo(School of Mechanical Engineering,Southeast University,Nanjing,Jiangsu 211189,China;School of Civil Engineering,Southeast University,Nanjing,Jiangsu 210096,China;Institute of Aerospace Machinery and Dynamics,Southeast University,Nanjing,Jiangsu 211189,China)
出处 《光学学报》 EI CAS CSCD 北大核心 2018年第8期351-357,共7页 Acta Optica Sinica
基金 国家自然科学基金(11572086) 江苏省自然科学基金(BK20170022)
关键词 测量 数字图像相关 TIKHONOV正则化 灰度梯度 噪声 measurement digital image correlation Tikhonov regularization gray gradient noise
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