Abstract
This paper proposes a novel method for image magnification by exploiting the property that the intensity of an image varies along the direction of the gradient very quickly. It aims to maintain sharp edges and clear details. The proposed method first calculates the gradient of the low-resolution image by fitting a surface with quadratic polynomial precision. Then, bicubic interpolation is used to obtain initial gradients of the high-resolution (HR) image. The initial gradients are readjusted to find the constrained gradients of the HR image, according to spatial correlations between gradients within a local window. To generate an HR image with high precision, a linear surface weighted by the projection length in the gradient direction is constructed. Each pixel in the HR image is determined by the linear surface. Experimental results demonstrate that our method visually improves the quality of the magnified image. It particularly avoids making jagged edges and bluring during magnification.
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Liqiong Wu received her B.S. degree in computer science and technology from Shandong University, Jinan, China, in 2014. Currently, she is a master student in the School of Computer Science and Technology, Shandong University, Jinan, China. Her research interests include computer graphics and image processing.
Yepeng Liu received his B.S. degree in computer science and technology from Shandong University, Jinan, China, in 2014. He is currently pursuing the Ph.D. degree in the School of Computer Science and Technology, Shandong University, Jinan, China. His research interests include computer graphics, image processing, and geometry processing.
Brekhna received her B.S. degree in computer science and technology from the University of Peshawar, Pakistan, in 2010. She received her M.S. degree in computer science and technology from Comsats Institute of Technology, Islamabad, Pakistan, in 2013. Currently, she is a Ph.D. candidate in the School of Computer Science and Technology, Shandong University, Jinan, China. Her research interests include image processing, computer graphics, and machine learning.
Ning Liu received her B.S. degree in library science from Wuhan University. Since 2002, she has been an associate research librarian in the School of Computer Science and Technology, Shandong University, Jinan, China.
Caiming Zhang is a professor and doctoral supervisor of the School of Computer Science and Technology at Shandong University. He received his B.S. and master degrees in computer science from Shandong University in 1982 and 1984, respectively, and Ph.D. degree in computer science from Tokyo Institute of Technology, Japan, in 1994. From 1997 to 2000, Dr. Zhang has held a visiting position at the University of Kentucky, USA. His research interests include CAGD, CG, information visualization, and medical image processing.
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Wu, L., Liu, Y., Brekhna et al. High-resolution images based on directional fusion of gradient. Comp. Visual Media 2, 31–43 (2016). https://doi.org/10.1007/s41095-016-0036-6
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DOI: https://doi.org/10.1007/s41095-016-0036-6