Publications

Signal and Image processing

The Analytical Validity of Stride Detection and Gait Parameters Reconstruction Using the Ankle-Mounted Inertial Measurement Unit Syde®

The increasing use of inertial measurement units (IMU) in biomedical sciences brings new possibilities for clinical research. The aim of this paper is to demonstrate the accuracy of the IMU-based wearable Syde® device, which allows day-long and…

Mona Michaud, Alexandre Guérin, Marguerite Dejean de la Bâtie, Léopold Bancel, Laurent Oudre, Alexis Tricot

Sensors - 2024

Mathematics

Persistence-based clustering with outlier-removing filtration

This article describes a non-parametric clustering algorithm with an outlier removal step. Our method is based on tools from topological data analysis: we define a new filtration on metric spaces which is a variant of the Vietoris–Rips filtration…

Alexandre Bois, Brian Tervil, Laurent Oudre

Frontiers in Applied Mathematics and Statistics - 2024

Computer Vision and Pattern Recognition

MaskSim: Detection of synthetic images by masked spectrum similarity analysis

Synthetic image generation methods have recently revolutionized the way in which visual content is created. This opens up creative opportunities but also presents challenges in preventing misinformation and crime. However, these methods leave traces…

Yanhao LI, Quentin Bammey, Marina Gardella, Tina Nikoukhah, Jean-Michel Morel, Miguel Colom, Rafael Grompone von Gioi

2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) - 2024

Mathematics

Iteratively Reweighted Least Squares for Phase Unwrapping

The 2D phase unwrapping problem seeks to recover a phase image from its observation modulo 2$\pi$, and is a crucial step in a variety of imaging applications. In particular, it is one of the most time-consuming steps in the interferometric synthetic…

Benjamin Dubois-Taine, Roland Akiki, Alexandre d'Aspremont

Optimization and Control

Constrained Approximate Optimal Transport Maps

We investigate finding a map $g$ within a function class $G$ that minimises an Optimal Transport (OT) cost between a target measure $\nu$ and the image by $g$ of a source measure $\mu$. This is relevant when an OT map from $\mu$ to $\nu$ does not…

Eloi Tanguy, Agnès Desolneux, Julie Delon

Statistics

Subspace clustering sur données incomplètes par imputation multiple

Nous nous intéressons à la classification non supervisée en grande dimension en présence d'observations incomplètes. Nous proposons une approche d'imputation multiple avec comme modèle d'analyse la méthode Reduced KMeans de subspace clustering. L…

Yasmine Agliz, Vincent Audigier, Mohamed Nadif, Ndèye Niang

29èmes Rencontres de la Société Francophone de Classification - 2024

Numerical Analysis

Repulsive Shells

This paper develops a shape space framework for collision-aware geometric modeling, where basic geometric operations automatically avoid inter-penetration. Shape spaces are a powerful tool for surface modeling, shape analysis, nonrigid motion…

Josua Sassen, Henrik Schumacher, Martin Rumpf, Keenan Crane

ACM Transactions on Graphics - 2024

Biomechanics

Some mathematical models for flagellar activation mechanisms

This paper focuses on studying a model for molecular motors responsible for the bending of the axoneme in the flagella of microorganisms. The model is a coupled system of partial differential equations inspired by Jülicher et al. or Camalet,…

François Alouges, Irene Anello, Antonio Desimone, Aline Lefebvre-Lepot, Jessie Levillain

Engineering Sciences

Stability prediction of multi-material complex slopes based on self-attention convolutional neural networks

Mansheng Lin, Xuedi Chen, Gongfa Chen, Zhiwei Zhao, David Bassir

Stochastic Environmental Research and Risk Assessment - 2024

Engineering Sciences

Cable force estimation method based on UAVs and EMD

To solve the problems of difficulty in deploying accelerometers in traditional cable force measurement, this paper proposes a cable force measurement method based on unmanned aerial vehicles (UAVs). This method first uses the Kanade-Lucas-Tomasi …

Wenjun Luo, Shufan Cai, Limei Zeng, Gongfa Chen, David Bassir

International Journal for Simulation and Multidisciplinary Design Optimization - 2024