摘要
研究了粒子的载流子K(b,a)所满足的薛定谔方程的数值解及分析解,引入了图像的I-型与II-型薛定谔变换,解释了变换的意义,给出了薛定谔变换的性质。利用图像薛定谔变换,构造出了一种滤波效果较好的高通与低通滤波器,实现了图像的边缘检测、图像平滑及增强。
We discussed analytical and numerical solutions of the Schr6dinger Equation, which is satisfied by the propagator P（b, a）. We introduced definition of Ⅰ Type and Ⅱ- Type Schr6dinger transformation of image and explained their meaning and nature of trans- formation. Properties of Schr6dinger transform was given. High and low pass filters based on Schrodinger transformation of image were obtained. Image smoothing, edge detect and image enchancement were implemented.
出处
《武汉大学学报（信息科学版）》
EI
CSCD
北大核心
2010年第3期339-342,共4页
Geomatics and Information Science of Wuhan University
基金
国家自然科学基金资助项目(60975011)
第41批中国博士后科学基金资助项目(20070410290)
关键词
图像处理
薛定谔方程
图像的薛定谔变换
傅立叶变换
滤波器
image processing
Schr6dinger equation
Schrodinger transform of image
Fou- rier transform
high and low pass filter
