【作者】 张祥光；

【导师】 马义德；

【作者基本信息】 兰州大学 ， 通信与信息系统， 2002， 硕士

【摘要】 自70年代以来,非线性科学逐渐形成了一门崭新的科学,并且越来越受到人们的重视。非线性滤波器是非线性科学中的一个重要分支,与线性滤波器不同,它用统计方法来研究,用离散数学方法来表示,能够在很好的保护信号细节的同时,去除信号中的噪声。特别在数字图像处理中,非线性滤波器作为一种有效的处理技术,得到了广泛的应用。 本文的二、三、四三章分别从椒盐噪声、高斯噪声以及二者组成的混合噪声等三种噪声类型入手,将多种非线性理论应用到噪声的滤除方面,在前人研究的基础上,提出了一些新的非线性滤波算法。 本文提出的滤波器主要有:基于中值滤波和峰-谷滤波的混合滤波器、改进的最优全方位结构元约束层叠滤波器、结合形态滤波和层叠滤波的混台滤波器、改进的极值中值滤波以及改进的多结构元广义形态滤波器等。通过MATLAB语言的仿真实验,证明了新方法的有效性。更多还原

【Abstract】 Over the last three decades, the science of non-linear theory is becoming a brand-new science, and it is emphasized little by little. Different from the linear filter, the non-linear filter is an important branch of the science of non-linear theory and it use the statistical method to resolve the problem、 use the discrete mathematics to denote, so it can not only remove noise effectively but also keep details of the signal sufficiently. As an effective processing technology, the non-linear filter is widely used in the digital image processing.In the chapter two、 three and four of this paper, aiming at the salt-and-pepper noise , gaussian noise and hybrid noise which is make up of the both mentioned, applying some kind of non-linear theories in the aspect of noise removing, the paper brings forward some new filter algorithms at the basic of the predecessor’s work.There are many filters that mentioned for the first time in the paper, such as the hybrid filter based on the median filter and the peak-and-valley filter、 the improved stack filter based on omnidirectional structural elements constrains 、 the hybrid filter based on the morphological filter and the stack filter, an improved filter based on extremum and median value and the improved generalized morphological filter based on omnidirectional structural elements constrains and so on. The simulation experiments using the language MATLAB indicate that these new methods are effective.更多还原