Multidimensional TV-Stokes for image processing
Bin Wu, Xue-Cheng Tai, and Talal Rahman
TL;DR
This paper introduces a multidimensional TV-Stokes model for image processing that effectively denoises 3D images and movies, avoiding staircase artifacts and preserving details.
Contribution
It extends the original 2D TV-Stokes model to multidimensions and proposes a numerical algorithm based on Chambolle's dual formula.
Findings
Effective denoising of 3D images and movies
Avoids staircase artifacts in processed images
Preserves fine structures during denoising
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.
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Taxonomy
TopicsImage and Signal Denoising Methods · Advanced Image Fusion Techniques · Medical Image Segmentation Techniques