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研究了运动模糊图像在空间域和频域上的数学模型,理论分析指出物体作高频谐波振动时运动模糊成像的频谱上会由于Bessel函数的零点的存在而形成系列暗条纹。提出利用CCD摄取一幅振动模糊图像,经二维傅里叶变换,并采用图像处理技术检测频谱上直线条纹的位置,即可实现高频振动振幅的图像测量,测量结果为亚像素级的精度。
The mathematical model of the motion blurred image in the spatial and the frequency domain is studied. The theoretical analysis shows that when the object makes the high frequency harmonic vibration, a series of dark stripes will be formed due to the existence of the zero point of Bessel function. It is proposed to use CCD to pick up a vibrational blurred image and detect the position of linear stripes on the spectrum by using two-dimensional Fourier transform and image processing technology to realize the image measurement of high-frequency vibration amplitude. The measurement results are sub-pixel-level accuracy .