A Bidirectional Flow Joint Sobolev Gradient for Image Interpolation

作者:Zhan Yi; Li Sheng Jie; Li Meng*
来源:Mathematical Problems in Engineering, 2013, 2013: 1-8.
DOI:10.1155/2013/571052

摘要

An energy functional with bidirectional flow is presented to sharpen image by reducing its edge width, which performs a forward diffusion in brighter lateral on edge ramp and backward diffusion that proceeds in darker lateral. We first consider the diffusion equations as L-2 gradient flows on integral functionals and then modify the inner product from L-2 to a Sobolev inner product. The experimental results demonstrate that our model efficiently reconstructs the real image, leading to a natural interpolation with reduced blurring, staircase artifacts and preserving better the texture features of image.

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