id: 05987075
dt: j
an: 05987075
au: Litvinov, William G.; Rahman, Talal; Tai, Xue-Cheng
ti: A modified TV-Stokes model for image processing.
so: SIAM J. Sci. Comput. 33, No. 4, 1574-1597 (2011).
py: 2011
pu: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
la: EN
cc: 
ut: total variation; image restoration; image inpainting
ci: 
li: doi:10.1137/080727506
ab: Summary: We introduce and investigate the modified total variation
    (TV)-Stokes model for two classical image processing tasks, i.e., image
    restoration and image inpainting. The modified TV-Stokes model is a
    two-step model based on a TV minimization in each step and the use of
    geometric information of the image. In the first step, a smoothed and
    divergence-free tangential field of the given image is recovered, and
    in the second step, the image is reconstructed from the corresponding
    normals. The existence and the uniqueness of the solution to the
    minimization problems are established for both steps of the model.
    Numerical examples and comparisons are presented to illustrate the
    effectiveness of the model.
rv: