基于全变分与二阶泛函联合的自适应图像放大算法

王燕燕, 高冉, 顾聪

doi:10.13371/j.cnki.chin.q.j.m.2016.04.013

数学季刊 >

2016 , Vol. 31 >Issue 4: 435 - 440

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.04.013

基于全变分与二阶泛函联合的自适应图像放大算法

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College of Science,Zhongyuan University of Technology

WANG Yan-yan(1964-), female, native of Kaifeng, Henan, an associate professor of Zhongyuan University of Technology, M.S.D., engages in PDEs.

收稿日期: 2016-05-26

网络出版日期: 2020-11-03

基金资助

Supported by the National Nature Science Foundation of China(11401604)； Supported by the Natural Science Foundation of Henan Province(142300410354,142300410355,152300410226,152300410227)； Supported by the Science and Technology Projects of Henan Provincial Education Department(15A110045,17A110036)；

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Adaptive Image Zooming Algorithm Combining Total Variation Minimization and a Second-order Functional

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College of Science,Zhongyuan University of Technology

WANG Yan-yan(1964-), female, native of Kaifeng, Henan, an associate professor of Zhongyuan University of Technology, M.S.D., engages in PDEs.

Received date: 2016-05-26

Online published: 2020-11-03

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摘要

An image zooming algorithm by using partial differential equations（PDEs） is proposed here. It combines the second-order PDE with a fourth-order PDE. The combined algorithm is able to preserve edges and at the same time avoid the blurry effect in smooth regions. An adaptive function is used to combine the two PDEs. Numerical experiments illustrate advantages of the proposed model.

关键词： adaptive image zooming; total variation; PDEs

本文引用格式

王燕燕, 高冉, 顾聪 . 基于全变分与二阶泛函联合的自适应图像放大算法[J]. 数学季刊, 2016 , 31(4) : 435 -440 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.013

Abstract

Key words： adaptive image zooming; total variation; PDEs

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