Higher-Order Total Directional Variation: Imaging Applications
Numerical Analysis
2020-07-10 v4 Numerical Analysis
Abstract
We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Generalized Variation (TGV) regulariser and its variants. We propose a primal-dual hybrid gradient approach to approximate numerically the associated gradient flow. This choice of regularisers allows to preserve and enhance intrinsic anisotropic features in images. This is illustrated on various examples from different imaging applications: image denoising, wavelet-based image zooming, and reconstruction of surfaces from scattered height measurements.
Cite
@article{arxiv.1812.05023,
title = {Higher-Order Total Directional Variation: Imaging Applications},
author = {Simone Parisotto and Jan Lellmann and Simon Masnou and Carola-Bibiane Schönlieb},
journal= {arXiv preprint arXiv:1812.05023},
year = {2020}
}
Comments
42 pages, 16 figures