  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.
