1. David Bremner, Olivier Devillers, Marc Glisse, Sylvain Lazard, Giuseppe Liotta, Tamara Mchedlidze, Guillaume Moroz, Sue Whitesides, and Stephen Wismath. Monotone Simultaneous Paths Embeddings in $\mathbb{R}^d$. Discrete Mathematics and Theoretical Computer Science, 20(1):1-11, January 2018. [WWW ] [PDF ]
   Keywords: algorithm, point hyperplane duality, graph drawing, high-dimensional space. [bibtex-entry]



2. Dominique Attali, Olivier Devillers, Marc Glisse, and Sylvain Lazard. Recognizing Shrinkable Complexes Is NP-Complete. Journal of Computational Geometry, 7(1):430--443, 2016. [WWW ] [PDF ] [bibtex-entry]



3. Olivier Devillers, Marc Glisse, Xavier Goaoc, and Rémy Thomasse. Smoothed complexity of convex hulls by witnesses and collectors. Journal of Computational Geometry, 7(2):101-144, 2016. [WWW ] [bibtex-entry]



4. Dominique Attali, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier. Homological Reconstruction and Simplification in R3. Computational Geometry, pp http://www.sciencedirect.com/science/article/pii/S0925772114000923, 2014. [WWW ] [PDF ]
   Keywords: persistence, NP-hard problems, homology. [bibtex-entry]



5. Olivier Devillers, Marc Glisse, Xavier Goaoc, Guillaume Moroz, and Matthias Reitzner. The monotonicity of $f$-vectors of random polytopes. Electronic Communications in Probability, 18(23):1-8, 2013. [WWW ] [bibtex-entry]



6. Nina Amenta, Dominique Attali, and Olivier Devillers. A Tight Bound for the Delaunay Triangulation of Points on a Polyhedron. Discrete & Computational Geometry, 48:19--38, 2012. [WWW ] [bibtex-entry]



7. Julien Demouth, Olivier Devillers, Hazel Everett, Marc Glisse, Sylvain Lazard, and Raimund Seidel. On the complexity of umbra and penumbra. Comput. Geom. Theory Appl., 42:758--771, 2009. [WWW ] [bibtex-entry]



8. H. Brönnimann, O. Devillers, Vida Dujmovic, H. Everett, M. Glisse, X. Goaoc, S. Lazard, H.-S. Na, and S. Whitesides. Lines and free line segments tangent to arbitrary three-dimensional convex polyhedra. SIAM Journal on Computing, 37:522--551, 2007. [WWW ] [bibtex-entry]



9. Hervé Brönnimann, Olivier Devillers, Sylvain Lazard, and Frank Sottile. Lines tangent to four triangles in three-dimensional space. Discrete and Computational Geometry, 37:369--380, 2007. [WWW ] [bibtex-entry]



10. Olivier Devillers, Vida Dujmovic, Hazel Everett, Samuel Hornus, Sue Whitesides, and Steve Wismath. Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint. Internat. J. Comput. Geom. Appl., 17:297--304, 2007. [WWW ] [bibtex-entry]



11. Olivier Devillers, Vida Dujmovic, Hazel Everett, Xavier Goaoc, Sylvain Lazard, Hyeon-Suk Na, and Sylvain Petitjean. The expected number of 3D visibility events is linear. SIAM Journal on Computing, 32:1586--1620, 2003. [WWW ] [bibtex-entry]

1. Olivier Devillers, Marc Glisse, Xavier Goaoc, and Rémy Thomasse. On the smoothed complexity of convex hulls. In 31st International Symposium on Computational Geometry, Eindhoven, Netherlands, June 2015. Lipics. [WWW ] [PDF ] [bibtex-entry]



2. Dominique Attali, Olivier Devillers, Marc Glisse, and Sylvain Lazard. Recognizing shrinkable complexes is NP-complete. In A. Schulz and D. Wagner, editors, 22nd European Symposium on Algorithms, volume 8737, Wroclaw, Poland, pages 74-86, 2014. Springer. [WWW ] [PDF ] [bibtex-entry]



3. Dominique Attali, Ulrich Bauer, Olivier Devillers, Marc Glisse, and AndrŽ Lieutier. Homological reconstruction and simplification in $I\!\!R^3$. In Proc. of the 29th Annual Symposium on Computational Geometry, pages 117--125, 2013. [WWW ] [bibtex-entry]



4. Olivier Devillers, Marc Glisse, and Xavier Goaoc. Complexity analysis of random geometric structures made simpler. In Proc. of the 29th Annual Symposium on Computational Geometry, pages 167--175, 2013. [WWW ] [bibtex-entry]



5. Olivier Devillers, Marc Glisse, and Sylvain Lazard. Predicates for line transversals to lines and line segments in three-dimensional space. In 24th Symposium on Computational Geometry -- SoCG'08, pages 174-181, 2008. [WWW ] [bibtex-entry]



6. Nina Amenta, Dominique Attali, and Olivier Devillers. Complexity of Delaunay triangulation for points on lower-dimensional polyhedra. In 18th ACM-SIAM Symposium on Discrete Algorithms, pages 1106--1113, 2007. [WWW ] [bibtex-entry]



7. Julien Demouth, Olivier Devillers, Hazel Everett, Marc Glisse, Sylvain Lazard, and Raimund Seidel. Between umbra and penumbra. In 23th Symposium on Computational Geometry -- SoCG'07, pages 265--274, 2007. [WWW ] [bibtex-entry]



8. Olivier Devillers, Vida Dujmovic, Hazel Everett, Samuel Hornus, Sue Whitesides, and Steve Wismath. Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint. In 17th Canad. Conf. Comput. Geom., pages 302--305, 2005. [WWW ] [bibtex-entry]



9. H. Brönnimann, O. Devillers, Vida Dujmovic, H. Everett, M. Glisse, X. Goaoc, S. Lazard, H.-S. Na, and S. Whitesides. The Number of Lines Tangent to Arbitrary Convex Polyhedra in 3D. In 20th Symposium on Computational Geometry -- SoCG'04, pages 46--59, 2004. [WWW ] [bibtex-entry]



10. Hervé Brönnimann, Olivier Devillers, Sylvain Lazard, and Frank Sottile. On the number of line tangents to four triangles in three-dimensional space. In 10th Canad. Conf. Comput. Geom., 2004. [bibtex-entry]



11. H. Brönnimann, O. Devillers, Vida Dujmovic, H. Everett, M. Glisse, X. Goaoc, S. Lazard, H.-S. Na, and S. Whitesides. On the Number of Lines Tangent to Four Convex Polyhedra. In 8th Canad. Conf. Comput. Geom., pages 113--117, 2002. [bibtex-entry]

1. Dominique Attali, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier. Homological reconstruction and simplification in ${\mathbb R}^3$. Research Report 8169, INRIA, 2012. [WWW ] [bibtex-entry]



2. Olivier Devillers, Marc Glisse, and Xavier Goaoc. Complexity analysis of random geometric structures made simpler. Research Report 8168, INRIA, 2012. [WWW ] [bibtex-entry]



3. Olivier Devillers, Marc Glisse, Xavier Goaoc, Guillaume Moroz, and Matthias Reitzner. The monotonicity of $f$-vectors of random polytopes. Research Report 8154, INRIA, 2012. [WWW ] [bibtex-entry]



4. Dominique Attali, Olivier Devillers, and Xavier Goaoc. The Effect of Noise on the Number of Extreme Points. Research Report 7134, INRIA, 2009. [WWW ] [bibtex-entry]

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