Research interests
- topological and geometric inference
- persistent homology
- provably-good reconstruction from point cloud data
- mesh generation with guarantees
- shape probing and motion planning
Recent publications (full list available here)
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M. Buchet and F. Chazal and S. Y. Oudot and D. R. Sheehy. Efficient
and Robust Topological Data Analysis on Metric Spaces. arXiv:1306.0039 [cs.CG].
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S. Y. Oudot and D. R. Sheehy. Zigzag Zoology: Rips Zigzags for
Homology Inference. Proc. 29th Annual Symposium on
Computational Geometry, June 2013.
Full version
to appear in J. Foundations of Computational Mathematics.
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F. Chazal, V. de Silva, M. Glisse, S. Oudot. The Structure and
Stability of Persistence Modules. Monograph under review, see arXiv:1207.3674v1 [math.AT].
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F. Chazal,
L. J. Guibas, S. Y. Oudot, P. Skraba. Persistence-Based
Clustering in Riemannian Manifolds. Proc. 27th Annual ACM
Symposium on Computational Geometry, pages 97-106, 2011. Full
version in Journal of the ACM, volume 60,
issue 6, article 41.
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F. Chazal,
V. de Silva. S. Oudot. Persistence Stability for Geometric
Complexes. To appear in Geometriae Dedicata, see arXiv:1207.3885v1 [math.AT].
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Software
- ToMATo: Topological Mode Analysis Tool
Teaching (École Polytechnique)
- INF 562 -- Computational
Geometry: from Theory to Applications
- INF 441b -- Programmation efficace
- INF 421 -- Les bases de la programmation et de l'algorithmique
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