Local and Nonlocal Regularization to Image Interpolation | Zendy

Yi Zhan | Zendy; Sheng Jie Li | Zendy; Meng Li | Zendy

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Local and Nonlocal Regularization to Image Interpolation

Author(s) -

Yi Zhan,

Sheng Jie Li,

Meng Li

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/230348

Subject(s) - regularization (linguistics) , interpolation (computer graphics) , mathematics , bounded variation , anisotropic diffusion , image (mathematics) , bounded function , exponential function , image restoration , mathematical analysis , algorithm , image processing , artificial intelligence , computer science

This paper presents an image interpolation model with local and nonlocal regularization. A nonlocal bounded variation (BV) regularizer is formulated by an exponential function including gradient. It acts as the Perona-Malik equation. Thus our nonlocal BV regularizer possesses the properties of the anisotropic diffusion equation and nonlocal functional. The local total variation (TV) regularizer dissipates image energy along the orthogonal direction to the gradient to avoid blurring image edges. The derived model efficiently reconstructs the real image, leading to a natural interpolation which reduces blurring and staircase artifacts. We present experimental results that prove the potential and efficacy of the method

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