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

WANG Yan-yan, GAO Ran, GU Cong

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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)；

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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

Cite this article

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

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