Multidimensional TV-Stokes for image processing
This work addresses denoising challenges in medical imaging or video processing, but it appears incremental as an extension of an existing 2D method to higher dimensions.
The authors tackled the problem of staircase artifacts in image denoising by proposing a complete multidimensional TV-Stokes model, which showed excellent performance in preserving fine structures in 3D images and movies.
A complete multidimential TV-Stokes model is proposed based on smoothing a gradient field in the first step and reconstruction of the multidimensional image from the gradient field. It is the correct extension of the original two dimensional TV-Stokes to multidimensions. Numerical algorithm using the Chambolle's semi-implicit dual formula is proposed. Numerical results applied to denoising 3D images and movies are presented. They show excellent performance in avoiding the staircase effect, and preserving fine structures.