Image Interpolation with Corner Preserving Based on Partial Differential Equation

Xiao Zhi-tao; Feng Tie-jun; Zhang Fang; Geng Lei; Wu Jun; Li Yue-long; Wang Dan-yu; Chen Ying

doi:10.11999/JEIT141420

Volume 37 Issue 8

Aug. 2015

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Article Navigation > Journal of Electronics & Information Technology > 2015 > 37(8): 1892-1899

Xiao Zhi-tao, Feng Tie-jun, Zhang Fang, Geng Lei, Wu Jun, Li Yue-long, Wang Dan-yu, Chen Ying. Image Interpolation with Corner Preserving Based on Partial Differential Equation[J]. Journal of Electronics & Information Technology, 2015, 37(8): 1892-1899. doi: 10.11999/JEIT141420

Citation:

Xiao Zhi-tao, Feng Tie-jun, Zhang Fang, Geng Lei, Wu Jun, Li Yue-long, Wang Dan-yu, Chen Ying. Image Interpolation with Corner Preserving Based on Partial Differential Equation[J]. Journal of Electronics & Information Technology, 2015, 37(8): 1892-1899. doi: 10.11999/JEIT141420

Citation:

Xiao Zhi-tao, Feng Tie-jun, Zhang Fang, Geng Lei, Wu Jun, Li Yue-long, Wang Dan-yu, Chen Ying. Image Interpolation with Corner Preserving Based on Partial Differential Equation[J]. Journal of Electronics & Information Technology, 2015, 37(8): 1892-1899. doi: 10.11999/JEIT141420

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Image Interpolation with Corner Preserving Based on Partial Differential Equation

doi: 10.11999/JEIT141420

1.
(School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China)
2.
(School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China)

Received Date: 2014-11-05
Rev Recd Date: 2015-03-05
Publish Date: 2015-08-19

Abstract

Abstract

Image interpolation is a basic issue in digital image processing, which can be used to realize image magnification and restoration, etc.. Traditional interpolation methods are easy to make the edge structures produce staircase artifacts or make the interpolated results blurred. An image interpolation method with corner preserving based on Partial Differential Equation (PDE) is proposed, which provides different interpolation applications for different characteristics of the image. The proposed interpolation scheme is not only able to?maintain the edge structure clear, but also able to keep the corner sharp. Then, the overall visual and the Peak Signal to Noise Ratio (PSNR) of the interpolation image can be improved effectively. In addition, this paper puts forward methods for selecting the parameters through analyzing the equation, thus it improves the adaptability of the proposed method.
- Image interpolation,
- Image magnification,
- Partial Differential Equation (PDE),
- Corner,
- Edge

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References(24)

References

Jha A, Kumar A, Schaefer G, et al.. An efficient edge preserving image interpolation algorithm[C]. 3rd International Conference on Informatics, Electronics Vision (ICIEV), Dhaka, Bangladesh, 2014, DOI:10.1109/ ICIEV.2014.6850820.

Yang Z, Lu F, and Guan L. Image enlargement and reduction with arbitrary accuracy through scaling relation of B-spline[J]. Journal of Computer-Aided Design and Computer Graphics, 2001, 13(9): 824-827.

Sarti A, Mikula K, Sgallari F, et al.. Evolutionary partial differential equations for biomedical image processing[J]. Journal of Biomedical Informatics, 2002, 35: 77-91.

Perona P and Malik J. Scale-space and edge detection using anisotropic diffusion[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1990, 12(7): 629-639.

朱宁, 吴静, 王忠谦. 图像放大的偏微分方程方法[J]. 计算机辅助设计与图形学学报, 2005, 39(3): 124-132.

Zhu Ning, Wu Jing, and Wang Zhong-qian. Image zooming based on partial differential equations[J]. Journal of Computer-Aided Design and Computer Graphics, 2005, 39(3): 124-132.

Aly H and Dubois E. Image up-sampling using total-variation regularization with a new observation model[J]. IEEE Transactions on Image Processing, 2005, 14(10): 1647-1659.

邵文泽. 基于图像建模理论的多幅图像正则化超分辨率重建算法研究[D]. [博士论文], 南京理工大学, 2008.

Shao Wen-ze. Image modeling based regularized multi-frame super-resolution reconstruction[D]. [Ph.D. dissertation], Nanjing University of Science and Technology, 2008.

张帆. 基于偏微分方程与边缘检测的图像去噪算法[J]. 计算机工程与设计, 2014, 35(2): 562-566.

Zhang Fan. Partial differential equation and edge detection based image denoising algorithm[J]. Computer Engineering and Design, 2014, 35(2): 562-566.

Shao W and Wei Z. Edge-and-corner preserving regularization for image interpolation and reconstruction[J]. Image and Vision Computing, 2008, 26(12): 1591-1606.

季成涛, 何小海, 符耀庆, 等. 一种基于正则化的边缘定向插值算法[J]. 电子与信息学报, 2014, 36(2): 293-297.

Ji Cheng-tao, He Xiao-hai, Fu Yao-qing, et al.. An edge directed interpolation algorithm based on regularization[J]. Journal of Electronics Information Technology, 2014, 36(2): 293-297.

Bini A and Bhat M. Selective image smoothing and feature enhancement using modified shock filters[C]. 8th Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI) Association of Thailand-Conference, Khon Kaen, 2011: 991-994.

Zhang F, Liu W, Tang C, et al.. Variational denoising method for electronic speckle pattern interferometry[J]. Chinese Optics Letters, 2008, 6(1): 38-40.

郭茂银. 基于四阶偏微分方程的并行图像去噪研究[D]. [硕士论文], 重庆邮电大学, 2011.

Guo Mao-yin. The parallel image denoising research based on fourth-order PDE[D]. [Master dissertation], Chongqing University of Posts and Telecommunications, 2011.

李朝锋, 唐国凤, 吴小俊, 等. 学习相位一致特征的无参考图像质量评价[J]. 电子与信息学报, 2013, 35(2): 484-488.

Li Chao-feng, Tang Guo-feng, Wu Xiao-jun, et al.. No-reference image quality assessment with learning phase congruency feature[J]. Journal of Electronics Information Technology, 2013, 35(2): 484-488.

姜求平, 邵枫, 蒋刚毅, 等. 基于视觉重要区域的立体图像视觉舒适度客观评价方法[J]. 电子与信息学报, 2014, 36(4): 875-881.

Jiang Qiu-ping, Shao Feng, Jiang Gang-yi, et al.. An objective stereoscopic image visual comfort assessment metric based on visual important regions[J]. Journal of Electronics Information Technology, 2014, 36(4): 875-881.

Gao R, Song J, and Tai X. Image zooming algorithm based on partial differential equations technique[J]. International Journal of Numerical Analysis and Modeling, 2009, 6(2): 284-292.

Ye Z, Li X, and Li Y. Visual and artistic images denoising methods based on partial differential equation[J]. Journal of Multimedia, 2013, 8(3): 284-290.

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