Research

Research interests

  • Computational geometry (geometric inference...)
  • Optimal transport (semi-discrete methods, Laguerre diagrams...)
  • Non-imaging optics
  • Digital geometry

Publications

  1. Light in Power: A General and Parameter-free Algorithm for Caustic Design
    Quentin Mérigot, Jocelyn Meyron, Boris Thibert,
    Accepted at SIGGRAPH ASIA 2018,
    ACM Transaction on Graphics (TOG, Proc SIGGRAPH Asia), doi
    arXiv preprint.
    We show how, using optimal transport, one can recast many different inverse problems arising in optics into solving a non-linear system of equations namely a discrete version of the so-called Monge-Ampère equation. Many simulated and fabricated results are presented.

  2. An algorithm for optimal transport between a simplex soup and a point cloud
    Quentin Mérigot, Jocelyn Meyron, Boris Thibert,
    SIAM Journal on Imaging Sciences (SIIMS), doi
    arXiv preprint.
    We prove the convergence of a damped Newton's method to solve the optimal transport problem between a source probability measure supported on a finite union of simplices and a finitely supported target probability measure. Applications include optimal quantization of triangulated surfaces, point set registration on a mesh or remeshing.

Contact

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