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物理学报. 1999, 48(7): 1223-1229.
doi: 10.7498/aps.48.1223.
小波分析在光学信息处理中的应用
- 收稿日期: 1998-08-31
- 修回日期: 1998-10-21
- 刊出日期: 1999-07-20
摘要: 用小波变换分析惠更斯-菲涅耳原理，为小波光学理论描述理论基础．运用该理论，对光学系统的空域滤波、空频域滤波现象进行分析，其中小波在空域滤波以空间可变处理为例，小波在空频域滤波以匹配滤波为例，波前滤波则以夫琅和费单缝、圆孔等为例，分析了小波变换在光学领域处理问题的可行性，初步建立了小波光学的理论框架.
English Abstract
APPLICATION OF WAVELET ANALYSIS TO OPTICAL INFORMATION PROCESSING
- Received Date:
31 August 1998
- Accepted Date:
21 October 1998
- Published Online:
20 July 1999
Abstract: In this paper, the Huygens-Fresnel principle is restudied by means of wavelet analysis firstly, this builds the basis of the theory for wavelet optics. Then the theory of wavelet analysis is used to analyze the filtering in spatial domain and spatial frequency domain. For example, it gives the space variable processing for the filtering with wavelet in spatial domain, the match filtering for the filtering with wavelet in spatial fequency domain and a single slit and a round aperture for the wave-front filtering. The feasibility for treating the problems in optical field with wavelet transform is discussed, and the theoretical frame of wavelet optics is built.
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