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. © 2014 Yi Zhan et al.
Zhan, Y., Li, S. J., & Li, M. (2014). Local and nonlocal regularization to image interpolation. Mathematical Problems in Engineering, 2014. https://doi.org/10.1155/2014/230348