Multidimensional TV-Stokes for image processing
Numerical Analysis
2020-09-30 v2 Computer Vision and Pattern Recognition
Numerical Analysis
Optimization and Control
Abstract
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.
Cite
@article{arxiv.2009.11971,
title = {Multidimensional TV-Stokes for image processing},
author = {Bin Wu and Xue-Cheng Tai and Talal Rahman},
journal= {arXiv preprint arXiv:2009.11971},
year = {2020}
}