Acta Photonica Sinica, Volume. 42, Issue 6, 732(2013)

Second Order Total Generalized Variation for Image Zooming

WU Yu-lian1...2,*, FENG Xiang-chu1 and JIANG Dong-huan3 |Show fewer author(s)
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  • 1[in Chinese]
  • 2[in Chinese]
  • 3[in Chinese]
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    References(10)

    [1] [1] BELAHMIDI A, GUICHARD F. A partial differential equation approach to image zoom[C]. IEEE International Conference on Image Processing, 2004, 1: 649-652.

    [2] [2] MALGOUYRES F. Total variation based oversampling of noisy images[C]. Scale-Space and Morphology in Computer Vision, Lecture Notes in Computer Science, 2006, 2106: 111-122.

    [3] [3] GUICHARD F, MALGOUYRES F. Edge direction preserving image zooming: a mathematical and numerical analysis[J]. SIAM Journal of Numerical Analysis, 2001, 39(1): 1-37.

    [4] [4] CHAMBOLLE A. An algorithm for total variation minimization and applications[J]. Journal of Mathematical Imaging and Vision, 2004, 20(1-2): 89-97.

    [5] [5] FENG Xiang-chu, JANG Dong-huan, XU Guang-bao. Variation and wavelet transform for image zooming[J]. Chinese Journal of Computers, 2008, 31(2): 340-345.

    [6] [6] KIM H, CHA Y, KIM S. Curvature interpolation method for image zooming[J]. IEEE Transactions on Image Processing, 2011, 20(7): 1895-1903.

    [7] [7] BREDIES K, KUNISCH K, POCK T. Total generalized variation[J]. SIAM Journal on Imaging Sciences, 2010, 3(3): 492-526.

    [8] [8] KNOLL F, BREDIES K, POCK T. Second order total generalized variation (tgv) for MRI[J]. Magnetic Resonance in Medicine, 2011, 65(2): 480-491.

    [9] [9] CHAMBOLLE A, POCK T. A first-order primal-dual algorithm for convex problems with applications to imaging[J]. Journal of Mathematical Imaging and Vision, 2011, 40(1): 120-145.

    [10] [10] POCK T, ZEBEDIN L. TGV-fusion[C]. Rainbow of Computer Science, Lecture Notes in Computer Science, 2011, 6570: 245-258.

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    WU Yu-lian, FENG Xiang-chu, JIANG Dong-huan. Second Order Total Generalized Variation for Image Zooming[J]. Acta Photonica Sinica, 2013, 42(6): 732

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    Paper Information

    Received: Dec. 19, 2012

    Accepted: --

    Published Online: Jun. 14, 2013

    The Author Email: Yu-lian WU (wyl_wy711@163.com)

    DOI:10.3788/gzxb20134206.0732

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