Modeling variational inpainting methods with splines
For researchers in image processing, this offers an alternative discretization approach for variational inpainting, but the improvement over existing methods is incremental.
The authors propose a spline-based discretization for variational image inpainting, avoiding standard pointwise methods, and demonstrate comparable numerical results to classical TV inpainting.
Mathematical methods of image inpainting involve the discretization of given continuous models. We present a method that avoids the standard pointwise discretization by modeling known variational approaches, in particular total variation (TV), using a finite dimensional spline space. Besides the analysis of the resulting model, we present a numerical implementation based on the alternating method of multipliers. We compare the results numerically with classical TV inpainting and give examples of applications.