一种基于简单背景变化规则的图像滤波方法

摘要

There is no strict mathematic deifnition for image noise till now, general noise ifltering methods have the character of blindness. This article deifnes that the area around the point p but excluding the point p is the background (the surrounding environment) of the point p. It maintains that the noise point is not consistent with the background change rules. Thus, this paper proposes a method for ifltering based on the background change rules. The main idea is to use the change rules around the noise point to“rule” the noise point, making it become harmony with the surrounding environment, so as to eliminate the noise. This method uses the surrounding environment to correct the noise point, letting the noise in accordance with the surrounding environment, thus not damaging it. The edges of the image is also the environment, therefore the method is a lossless ifltering for the edges of the image, so it can protect the information of the edges of the image.%图像噪声至今未有严谨的数学定义，目前流行的各种通用噪声滤波方法常带有盲目性。文章定义图像上不含p点的p点周围区域为p点的背景(周边环境)，认为噪声点是不符合其背景变化规则的点。由此提出一种基于背景变化规则的滤波方法，其主要思想是：用噪声点周边的环境变化规则来“规则”噪声点，使噪声点变得与周边环境协调，从而达到消除噪声的目的。本方法是用周边环境来校正噪声点，让噪声点符合周边的环境变化规则，不会损伤周边环境。图像边缘是环境，因而本方法对图像边缘来说是一种无损滤波，能够保护图像的边缘信息。