光学小波滤波理论初探

The Elementary Theory of Optical Wavelet Filtering

用小波理论重新分析了光学信息处理的基本理论。首先用小波理论重新分析惠更斯-菲涅耳原理,并据此提出波前滤波思想,初步奠定了小波光学的理论基础。在此理论基础上,根据波前滤波思想,对单缝、圆屏、光栅等衍射现象进行了分析;同时也分析了空域滤波、空频域滤波、光学成像系统。结果表明,用小波分析方法研究光学信息处理问题是完全可行的。

The elementary theory of optical information processing is reanalyzed by using wavelet theory in this paper. First, wavelet theory is used to reanalyze the Huygens Fresnel principle, then an ideal of wave front filtering is brought forward, the foundation of wavelet optics theory is thus established preliminarily. On the base of the theory, phenomenon of optical diffraction from a single slit, round aperture, grating, and so on are analyzed according to the ideal of wave front filtering. The filtering in spatial domain, spatial frequency domain and a system of optical formatting imagines are also analyzed. The results show that it is feasible for the method of wavelet analysis to be used to study the problems of optical information processing, and it is more accordant with practical circumstances.