6 papers
Art Speaks Maths, Maths Speaks Art
Ninetta Leone, Simone Parisotto, Kasia Targonska-Hadzibabic +4
Our interdisciplinary team Mathematics for Applications in Cultural Heritage (MACH) aims to use mathematical research for the benefit of the arts and humanities. Our ultimate goal…
Unsupervised clustering of Roman pottery profiles from their SSAE representation
Simone Parisotto, Alessandro Launaro, Ninetta Leone +1
In this paper we introduce the ROman COmmonware POTtery (ROCOPOT) database, which comprises of more than 2000 black and white imaging profiles of pottery shapes extracted from 11 R…
Total Variation Regularisation with Spatially Variable Lipschitz Constraints
Martin Burger, Yury Korolev, Simone Parisotto +1
We introduce a first order Total Variation type regulariser that decomposes a function into a part with a given Lipschitz constant (which is also allowed to vary spatially) and a j…
Variational Osmosis for Non-linear Image Fusion
Simone Parisotto, Luca Calatroni, Aurélie Bugeau +2
We propose a new variational model for non-linear image fusion. Our approach is based on the use of an osmosis energy term related to the one studied in Vogel et al. (2013) and Wei…
Higher-Order Total Directional Variation: Analysis
Simone Parisotto, Simon Masnou, Carola-Bibiane Schönlieb
We analyse a new notion of total anisotropic higher-order variation which, differently from the Total Generalized Variation by Bredies et al., quantifies for possibly non-symmetric…
Higher-Order Total Directional Variation: Imaging Applications
Simone Parisotto, Jan Lellmann, Simon Masnou +1
We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Ge…