Communications in Information and Systems

Volume 16 (2016)

Number 4

A texture feature preserving image interpolation algorithm via gradient constraint

Pages: 203 – 227

DOI: http://dx.doi.org/10.4310/CIS.2016.v16.n4.a1

Authors

Hongwei Du (Department of Computer Science and Technology, Shandong University of Finance and Economics, Jinan, Shandong, China)

Yunfeng Zhang (Department of Computer Science and Technology, Shandong University of Finance and Economics, Jinan, Shandong, China)

Fangxun Bao (Department of Mathematics, Shandong University of Finance and Economics, Jinan, Shandong, China)

Ping Wang (Department of Computer Science and Technology, Shandong University of Finance and Economics, Jinan, Shandong, China)

Caiming Zhang (Department of Computer Science and Technology, Shandong University of Finance and Economics, Jinan, Shandong, China)

Abstract

In this paper, a type of bivariate rational interpolation function is constructed for preserving image texture structure, which integrates polynomial function with rational function. On the basis of this model, an image interpolation algorithm for texture feature preserving is proposed. Firstly, isolines method is employed to divide image into smooth region and non-smooth region. Secondly, the smooth region and the non-smooth region are interpolated by polynomial model and rational model respectively. Finally, in order to preserve image texture direction, the pixel value of the interpolation point is determined by objective function that is constructed based on the gradient. Experimental results show that the proposed algorithm achieves good competitive performance compared with the state-of-the-art interpolation algorithms, especially in preserving image details and structure of edge.

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Research supported by the National Natural Science Foundation of China (Nos. 61373080, 61672018, U1609218, 61772309 and 61332015) and by the Nature Science Foundation of the Shandong Province of China (No. ZR2015AM007) and by the Fostering Project of Dominant Discipline and Talent Team of Shandong Province Higher Education Institutions.