西安理工大学学报2012，Vol.28Issue(1)：94-97,4.
基于分形维数的全变分图像平滑模型
Image Smoothing Model Based on Fractal Dimension and Total Variation
摘要
Abstract
With the aim of preventing the traditional total variation method from using the gradient to detect the edges easily subjecting to noise interference to produce "staircase" effect and of dealing with the defects of image with rich textures easily losing the fine textures, an improved total variation model based on fractal dimension is presented. The local fractal dimension is introduced into the new model to detect the edges so that the true edges are accurately recognized and the artificial ones are eliminated, therefore, the "staircase" effect is inhibited and the textures are protected. The smoothed images show that the improved method can not only effectively eliminate noises and weaken the "staircase" effects but also obtain the higher PSNR than the traditional total variation model.关键词
图像去噪/TV模型/分形维数/边缘检测Key words
image smoothing/ total variation model/ fractal dimension/ edge detecting分类
信息技术与安全科学引用本文复制引用
王小侠,赵凤群,戴芳,郭文艳..基于分形维数的全变分图像平滑模型[J].西安理工大学学报,2012,28(1):94-97,4.基金项目
国家自然科学基金资助项目(60971127) （60971127）
陕西省自然科学基础研究计划基金资助项目(2011JM1013) （2011JM1013）
西安理工大学校计划基金资助项目(108-210710) （108-210710）
西安理工大学博士启动基金资助项目(108-211011). （108-211011）
