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Open AccessArticle

Image Magnification Based on Bicubic Approximation with Edge as Constraint

1
Shandong Provincial Key Laboratory of Digital Media Technology, Shandong University of Finance and Economics, Ji’nan 250014, China
2
School of Artificial Intelligence, Guilin University of Electronic Technology, Guilin 541004, China
3
Lady Davis Institute for Medical Research, McGill University, Montreal, QC H3S 1Y9, Canada
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(5), 1865; https://doi.org/10.3390/app10051865
Received: 21 February 2020 / Revised: 4 March 2020 / Accepted: 5 March 2020 / Published: 9 March 2020
(This article belongs to the Special Issue Artificial Intelligence for Personalised Medicine)
Image magnification can be reduced to construct an approximation surface with data points in the image while keeping image details and edge features. In this paper, a new image magnification method is proposed by constructing piecewise bicubic polynomial surfaces constrained by edge features. The main innovation includes three parts. First, on the small adjacent area of each pixel, the new method constructs a quadratic polynomial sampling patch to approximate pixels on the small neighborhood with edge features as constraints. All quadric polynomial sampling patches are weighted to generate piecewise whole bicubic polynomial sampling surface. Second, a technique for calculating the error image is proposed: the error image is used to construct a correction surface to improve the accuracy and visual effect of the magnified image. Finally, in order to improve the accuracy of the approximation surface, a technology of balancing polynomial coefficients is put forward. Experimental results show that, compared with other methods, the proposed method makes better use of the local feature information of the image, which not only improves the PSNR/SSIM numerical accuracy of the magnified image but also improves the visual effect of the magnified image. View Full-Text
Keywords: image magnification; medical image aided diagnosis; edge feature constraints; quadratic polynomial surface image magnification; medical image aided diagnosis; edge feature constraints; quadratic polynomial surface
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MDPI and ACS Style

Ji, L.; Zhang, R.; Han, H.; Chaddad, A. Image Magnification Based on Bicubic Approximation with Edge as Constraint. Appl. Sci. 2020, 10, 1865. https://doi.org/10.3390/app10051865

AMA Style

Ji L, Zhang R, Han H, Chaddad A. Image Magnification Based on Bicubic Approximation with Edge as Constraint. Applied Sciences. 2020; 10(5):1865. https://doi.org/10.3390/app10051865

Chicago/Turabian Style

Ji, Linlin; Zhang, Rui; Han, Huijian; Chaddad, Ahmad. 2020. "Image Magnification Based on Bicubic Approximation with Edge as Constraint" Appl. Sci. 10, no. 5: 1865. https://doi.org/10.3390/app10051865

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