Theoretical Analysis of Autocorrelation Function of Image as Sharpness Evaluation Function
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摘要: 根据维纳-辛钦定理,从理论上证明了图像自相关函数作为清晰度评价函数的有效性和可行性.自相关函数同灰度变化函数、梯度函数、图像灰度熵函数的物理内涵具有一致性.通过图像锐度指数,将图像高频成分的比例同自相关曲线尖锐程度相联系,并通过实验进一步验证了图像锐度指数与图像自相关函数波峰宽度呈正比.Abstract: The effectiveness and feasibility to take an autocorrelation function as the evaluation function of images were proved theoretically according to the Wiener-Khintchine theorem.The autocorrelation function of an image has the same physical meaning with grey variation,grade and grey entropy functions.The proportion of high frequency components of an image is correlated with the sharpness of the autocorrelation curve by an image sharpness index that indicates sharpness of the image.An experiment verifies that the image sharpness index is positively proportional to the width of the autocorrelation curve.
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