重庆理工大学学报（自然科学版）2018，Vol.32Issue(5)：229-235,7.DOI:10.3969/j.issn.1674-8425(z).2018.05.036
数字图像放大分数阶偏微分方程方法
Method of Image Magnification Based on Fractional Order Partial Differential Equations
摘要
Abstract
The edges and textures of the image are blurred in the process of image magnification,and it can be solved effectively by using fractional order partial differential equations.The Riesz fractional derivative may be expressed in terms of Hadamard finite part integral,and a 3-α oder approximation scheme to the fractional derivative is introduced by approximating the Hadamard finitepart integral with the piecewise quadratic interpolation polynomials.The result of image magnification is revised by the difference scheme.Since the difference scheme is valid for nonzero Dirchlet boundary conditions, it is more suitable for image processing than general high order methods.Experimental results show that the proposed method which is more effectively can restore edges,textures and other details than existing method.关键词
分数阶/偏微分方程/图像放大/Hadamard有限积分部分Key words
fractional order/partial differential equation/image magnification/Hadamard finite part integral分类
信息技术与安全科学引用本文复制引用
杨艳,郭琳琴..数字图像放大分数阶偏微分方程方法[J].重庆理工大学学报（自然科学版）,2018,32(5):229-235,7.基金项目
山西省高等学校教学改革项目(J2016116) （J2016116）
吕梁学院教学改革项目(JYYB201704,JYYB201711) （JYYB201704,JYYB201711）
吕梁学院青年基金资助项目(ZRQN201617) （ZRQN201617）
