Gaussian Noise Filtering Using Pulse-Coupled Neural Networks

Ke Liu, Keming Long, Baozhen Ma, Jing Yang
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Abstract

In the process of collecting or transmitting images, various noise interferences are often introduced, especially in a multi-image sensor network, and noise has an important influence on subsequent image processing. Gaussian noise is a common noise in such systems. In order to filter Gaussian noise better, the neighborhood gray level difference weight matrix is proposed and applied to the Pulse-coupled neural network (PCNN). The matrix corresponds to the coupling-connection matrix of the PCNN and is determined by the related constraint relationship. From the perspective of image pixels, the neighborhood gray level difference weight matrix can adaptively change the gray level of the noisy pixels in the center of the neighborhood and improve the correlation of pixel gray levels in the neighborhood. From the macro perspective, the introduction of the neighborhood gray level difference weight matrix converts the image denoising process into a two-dimensional convolution operation. When the initial conditions are determined, parallel processing can be realized, which greatly improves the efficiency of the algorithm. These advantages make the proposed algorithm can be better combined with CNN and other networks as the front-end denoising module of these networks. The specific experiments show that the denoising effect of this algorithm is better, especially under the higher variance Gaussian noise.
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基于脉冲耦合神经网络的高斯噪声滤波
在采集或传输图像的过程中,经常会引入各种噪声干扰,特别是在多图像传感器网络中,噪声对后续的图像处理有重要影响。高斯噪声是这类系统中常见的噪声。为了更好地过滤高斯噪声,提出了邻域灰度差权矩阵,并将其应用于脉冲耦合神经网络(PCNN)。该矩阵对应于PCNN的耦合连接矩阵,由相关约束关系决定。从图像像素的角度来看,邻域灰度差权矩阵可以自适应改变邻域中心噪声像素的灰度值,提高邻域像素灰度值的相关性。从宏观角度来看,邻域灰度差权矩阵的引入将图像去噪过程转化为二维卷积运算。当初始条件确定后,可以实现并行处理,大大提高了算法的效率。这些优点使得本文算法可以更好的与CNN等网络结合,作为这些网络的前端去噪模块。具体实验表明,该算法的去噪效果较好,特别是在方差较大的高斯噪声下。
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