activity
20132019
most citedAnalysis and optimisation of a variational model for mixed Gaussian and Salt & Pepper noise removal

30 citations · 110 across the 10 of their papers we have counts for

collaborators

11 papers

cs.CV2019★ 15 cited

Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling

Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi +2

We consider the evolution model proposed in [9, 6] to describe illusory contrast perception phenomena induced by surrounding orientations. Firstly, we highlight its analogies and d…

cs.CV2019

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…

q-bio.NC2019

Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle

Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi +3

In this work we have aimed to reproduce supra-threshold perception phenomena, specifically visual illusions, with Wilson-Cowan-type models of neuronal dynamics. We have found that…

math.OC2018★ 30 cited

Analysis and optimisation of a variational model for mixed Gaussian and Salt & Pepper noise removal

Luca Calatroni, Kostas Papafitsoros

We analyse a variational regularisation problem for mixed noise removal that was recently proposed in [14]. The data discrepancy term of the model combines and terms in…

math.AP2018★ 26 cited

Anisotropic osmosis filtering for shadow removal in images

Simone Parisotto, Luca Calatroni, Marco Caliari +2

We present an anisotropic extension of the isotropic osmosis model that has been introduced by Weickert et al.~(Weickert, 2013) for visual computing applications, and we adapt it s…

math.OC2016★ 1 cited

Infimal convolution of data discrepancies for mixed noise removal

Luca Calatroni, Juan Carlos De Los Reyes, Carola-Bibiane Schönlieb

We consider the problem of image denoising in the presence of noise whose statistical properties are a combination of two different distributions. We focus on noise distributions t…

math.AP2016★ 24 cited

Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images

Luca Calatroni, Yves van Gennip, Carola-Bibiane Schönlieb +2

We consider the problem of scale detection in images where a region of interest is present together with a measurement tool (e.g. a ruler). For the segmentation part, we focus on t…

math.OC2015

Bilevel approaches for learning of variational imaging models

Luca Calatroni, Cao Chung, Juan Carlos De Los Reyes +2

We review some recent learning approaches in variational imaging, based on bilevel optimisation, and emphasize the importance of their treatment in function space. The paper covers…

math.OC2014★ 2 cited

Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints

Luca Calatroni, Juan Carlos De Los Reyes, Carola-Bibiane Schönlieb

We consider the bilevel optimisation approach proposed by De Los Reyes, Schönlieb (2013) for learning the optimal parameters in a Total Variation (TV) denoising model featuring for…

math.NA2013

A primal-dual approach for a total variation Wasserstein flow

Martin Benning, Luca Calatroni, Bertram Düring +1

We consider a nonlinear fourth-order diffusion equation that arises in denoising of image densities. We propose an implicit time-stepping scheme that employs a primal-dual method f…

math.NA2013★ 12 cited

ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing

Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb

We present directional operator splitting schemes for the numerical solution of a fourth-order, nonlinear partial differential evolution equation which arises in image processing.…