摘要
在二维离散希尔伯特空间中构造了一种具有简单细胞感受野特性的多方向低冗余度小波.该小波的频谱具有扇形支撑区,因此本文称之为扇形方向小波(fanlet).Fanlet变换通过圆周对称多分辨率分解和方向滤波器组实现,它将图像分解为多分辨率多方向子带.利用遗传算法设计fanlet变换中满足重构条件的圆周对称滤波器组.与轮廓波(contourlet)相比,Fanlet的光滑度高,并且没有频谱混淆现象.实验结果表明,利用fanlet进行图像去噪,其峰值信噪比和视觉效果均优于contourlet.
The mtdti-directional and low-redundant wavelet with receptive fields properties of simple cells was constructed in 2D discrete Hilbert space.The mtdti-directional wavelet is named fanlet since its frequency spectrum support is fan-shaped.The fanlet transform can be implemented by circtdar symmetric mtdti-resolution decomposition and directional filter bank, it decomposes image in- to mtdti-resolution and mtdti-directional subbands. The circtdar symmetric filter banks in the fanlet transform, which satisfies reconstruction conditions, was designed by genetic algorithm. Compared to the contourlet, the fanlet is smoother, moreover, it doesn＇t have frequency aliasing phenomenon. Experiment on image denoising shows that fanlet outperforms contourlet in terms of both peak signalto-noise ratio and visual quality.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2005年第10期1905-1909,共5页
Acta Electronica Sinica
基金
公安部科技攻关项目(No.20031328301)
河北省教育厅自然科学项目(No.2004124)
关键词
多方向小波
轮廓波
感受野
遗传算法
multi-directional wavelet
contourlet
receptive fields
genetic algorithm
