基于全变分与二阶泛函联合的自适应图像放大算法

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

数学季刊 ›› 2016, Vol. 31 ›› Issue (4): 435-440.doi: 10.13371/j.cnki.chin.q.j.m.2016.04.013

• • 上一篇

基于全变分与二阶泛函联合的自适应图像放大算法

College of Science,Zhongyuan University of Technology

收稿日期:2016-05-26 出版日期:2016-12-30 发布日期:2020-11-03
作者简介:WANG Yan-yan(1964-), female, native of Kaifeng, Henan, an associate professor of Zhongyuan University of Technology, M.S.D., engages in PDEs.
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)；

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

College of Science,Zhongyuan University of Technology

Received:2016-05-26 Online:2016-12-30 Published:2020-11-03
About author:WANG Yan-yan(1964-), female, native of Kaifeng, Henan, an associate professor of Zhongyuan University of Technology, M.S.D., engages in PDEs.
Supported by:
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)；

摘要/Abstract

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

Abstract: 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.

Key words: adaptive image zooming, total variation, PDEs

中图分类号:

TP391.41

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.

WANG Yan-yan, GAO Ran, GU Cong. Adaptive Image Zooming Algorithm Combining Total Variation Minimization and a Second-order Functional[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(4): 435-440.

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基于全变分与二阶泛函联合的自适应图像放大算法

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

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