计算机应用研究2012，Vol.29Issue(2)：414-420,426,8.DOI:10.3969/j.issn.1001-3695.2012.02.003
分数阶微积分在图像处理中的研究综述
Summary of research on image processing using fractional calculus
摘要
Abstract
The main contents of this paper were about fractional calculus application in digital image low-level processing. Specifically included the following: fractional calculus and fractional-order partial differential equations and the basic properties of fractional Fourier transform; the structure of the fractional differential filter and its application to image enhancement; the structure of the fractional integration filter and its application to image denoising; the image denoising model based on fractional partial differential equations. Finally, summarized fractional calculus had been made research results and related problems in image processing. Associated with the image processing models, forecasted the applications prospect about fractional calculus applied to image processing.关键词
分数阶微积分/分数阶偏微分方程/变分法/泛函极值/图像增强/图像去噪Key words
fractional calculus/ fractional-order partial differential equations/ calculus of variations/ functional extreme/ image enhancement/ image denoising分类
信息技术与安全科学引用本文复制引用
黄果,许黎,蒲亦非..分数阶微积分在图像处理中的研究综述[J].计算机应用研究,2012,29(2):414-420,426,8.基金项目
国家自然科学基金资助项目(60972131) （60972131）
四川省教育厅科研项目(10ZC019/11ZB132) （10ZC019/11ZB132）
乐山市科技局重点研究计划资助项目(2011GZD046) （2011GZD046）
乐山师范学院资助项目(Z1162) （Z1162）
