activity
20182024
most citedDifferentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure

22 citations · 32 across the 11 of their papers we have counts for

collaborators

12 papers

cs.CV2024

SALVE: A 3D Reconstruction Benchmark of Wounds from Consumer-grade Videos

Remi Chierchia, Leo Lebrat, David Ahmedt-Aristizabal +3

Managing chronic wounds is a global challenge that can be alleviated by the adoption of automatic systems for clinical wound assessment from consumer-grade videos. While 2D image a…

cs.CV2024

NeRF Director: Revisiting View Selection in Neural Volume Rendering

Wenhui Xiao, Rodrigo Santa Cruz, David Ahmedt-Aristizabal +3

Neural Rendering representations have significantly contributed to the field of 3D computer vision. Given their potential, considerable efforts have been invested to improve their…

cs.CV2023

Syn3DWound: A Synthetic Dataset for 3D Wound Bed Analysis

Léo Lebrat, Rodrigo Santa Cruz, Remi Chierchia +12

Wound management poses a significant challenge, particularly for bedridden patients and the elderly. Accurate diagnostic and healing monitoring can significantly benefit from moder…

eess.IV2022★ 4 cited

CorticalFlow: Boosting Cortical Surface Reconstruction Accuracy, Regularity, and Interoperability

Rodrigo Santa Cruz, Léo Lebrat, Darren Fu +4

The problem of Cortical Surface Reconstruction from magnetic resonance imaging has been traditionally addressed using lengthy pipelines of image processing techniques like FreeSurf…

cs.CV2022★ 3 cited

CorticalFlow: A Diffeomorphic Mesh Deformation Module for Cortical Surface Reconstruction

Léo Lebrat, Rodrigo Santa Cruz, Frédéric de Gournay +5

In this paper we introduce CorticalFlow, a new geometric deep-learning model that, given a 3-dimensional image, learns to deform a reference template towards a targeted object. To…

cs.CV2021

MongeNet: Efficient Sampler for Geometric Deep Learning

Léo Lebrat, Rodrigo Santa Cruz, Clinton Fookes +1

Recent advances in geometric deep-learning introduce complex computational challenges for evaluating the distance between meshes. From a mesh model, point clouds are necessary alon…

eess.IV2020★ 1 cited

DeepCSR: A 3D Deep Learning Approach for Cortical Surface Reconstruction

Rodrigo Santa Cruz, Leo Lebrat, Pierrick Bourgeat +3

The study of neurodegenerative diseases relies on the reconstruction and analysis of the brain cortex from magnetic resonance imaging (MRI). Traditional frameworks for this task li…

eess.IV2020

Going deeper with brain morphometry using neural networks

Rodrigo Santa Cruz, Léo Lebrat, Pierrick Bourgeat +5

Brain morphometry from magnetic resonance imaging (MRI) is a consolidated biomarker for many neurodegenerative diseases. Recent advances in this domain indicate that deep convoluti…

math.NA2019

Approximation of curves with piecewise constant or piecewise linear functions

Frédéric de Gournay, Jonas Kahn, Léo Lebrat

In this paper we compute the Hausdorff distance between sets of continuous curves and sets of piecewise constant or linear discretizations. These sets are Sobolev balls given by th…

math.NA2018★ 2 cited

3/4-discrete optimal transport

Frédéric de Gournay, Jonas Kahn, Léo Lebrat

This paper deals with the 3/4-discrete 2-Wasserstein optimal transport between two measures, where one is supported by a set of segment and the other one is supported by a set of D…

math.NA2018

Optimal Transport Approximation of 2-Dimensional Measures

Frédéric de Gournay, Jonas Kahn, Léo Lebrat +1

We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on c…

math.NA2018★ 22 cited

Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure

Frédéric de Gournay, Jonas Kahn, Léo Lebrat

This paper aims at determining under which conditions the semi-discrete optimal transport is twice differentiable with respect to the parameters of the discrete measure and exhibit…