Zalevsky Z, Mendlovic D
Appl Opt. 1996 Jul 10;35(20):3930-6. doi: 10.1364/AO.35.003930.
The fractional correlation is a new operation that can easily be implemented by optical means. This operation might be useful for shift-variant pattern recognition and for image restoration. The Wiener filter is the optimal filter according to the minimal square-error criterion. For a given spectral noise that distorts the reference image, this filter is optimal for restoring an image in noise. A fractional Wiener filter is suggested for restoring reference objects in a fractional correlation system. The new filter sometimes performs better than the conventional Wiener filter.
分数相关是一种新的运算,它可以很容易地通过光学手段实现。这种运算可能在平移可变模式识别和图像恢复方面有用。维纳滤波器是根据最小平方误差准则的最优滤波器。对于使参考图像失真的给定频谱噪声,该滤波器在噪声中恢复图像时是最优的。提出了一种分数维纳滤波器用于在分数相关系统中恢复参考物体。这种新滤波器有时比传统维纳滤波器表现更好。