StratMesh

Triangulating Stratifolds

Duration: 48 months

Project Overview

StratMesh aims to develop provably-correct triangulation algorithms for stratified spaces. Our focus is on stratified spaces that are the projection of smooth manifolds, which arise in many applications such as robotics, control theory, and medial axis computation for learning from geometric data.

Main Objectives
  • Develop provably-correct triangulation algorithms
  • Focus on hypersurfaces or low dimensional manifolds
  • Handle singularities in both small and high dimensions
  • Create practical applications in robotics and control theory
Work Packages
  • WP1: Triangulating small-dimensional spaces with singularities
  • WP2: Triangulating high-dimensional spaces with singularities
  • WP3: Applications in robotics, control theory, and medial axis
  • WP4: Software integration

Meetings

Monday, May 26th 2025 - Inria Paris, room B402
  • 9h30-10h00: Welcome at the cafeteria (Building A, 3rd floor)
  • 10h00-10h45: Robotics (Nantes)
  • 11h00-11h45: Meshing singular projections of manifolds (Nancy)
  • 12h30-14h00: Restaurant (Chez Papa 13)
  • 14h00-14h45: Medial axis (Sophia-Antipolis)
  • 15h00-15h45: Control theory (Paris)
  • 16h00: Discussions

Consortium

Nancy
Gamble, LORIA, INRIA Nancy - Grand Est

Expertise: Computational geometry, Computer algebra

  • Guillaume Moroz
  • Sylvain Lazard
  • Alba Málaga Sabogal
  • Marc Pouget
Paris
Ouragan, IMJ-PRG, INRIA Paris

Expertise: Control theory, Computer algebra

  • Alban Quadrat
  • Antonin Guilloux
  • Christina Katsamaki
  • Fabrice Rouillier
  • Elias Tsigaridas
Nantes
ReV, LS2N, CNRS

Expertise: Robot kinematics, Robot design

  • Philippe Wenger
  • Damien Chablat
  • Mathieu Porez
Sophia Antipolis
DataShape, Centre Inria d'Université Côte d'Azur

Expertise: High dimensional computational geometry and topology

  • Mathijs Wintraecken
  • Jean-Daniel Boissonnat