Researcher at CNRS
Laboratoire GIPSA-Lab, UMR CNRS 5216
11, rue des Mathématiques
38402 Saint Martin d'Hères
The Hevea project.
An explicit isometric reduction of the unit sphere into an arbitrarily small ball. E. Bartzos, V. Borrelli, R. Denis, F. Lazarus, D. Rohmer and B. Thibert, Foundations of Computational Mathematics (FoCM), pp. 1-28, 2017. doi:10.1007/s10208-017-9360-1.
Computing the Geometric Intersection Number of Curves. Vincent Despré and Francis Lazarus. 33rd International Symposium on Computational Geometry (SoCG) pp. 35:1-35:15, 2017. Best paper award. . A detailed version
Finding shortest non-trivial cycles in directed graphs on surfaces. Sergio Cabello, Éric Colin de Verdière and Francis Lazarus. Journal of Computational Geometry, 7(1):123-148, 2016. (Also appeared in Proc. SoCG'10)
Combinatorial Graphs and Surfaces from the Computational and Topological Viewpoint Followed by some notes on The Isometric Embedding of the square Flat Torus. Habilitation thesis defended on September 16, 2014 .
On the homotopy test on surfaces. Francis Lazarus and Julien Rivaud. proc. IEEE Symposium on Foundations of Computer Science (FOCS)proc. IEEE Symposium on Foundations of Computer Science (FOCS), pp. 440-449, 2012. Submitted version . A more detailed arXiv version.
Flat tori in three dimensional space and convex integration. Vincent Borrelli, Saïd Jabrane, Francis Lazarus and Boris Thibert. Proceedings of the National Academy of Sciences of the United States of America (PNAS), 109(19):7218-7223, 2012. A (long) abstract. Submitted version and a nice picture.
Algorithms for the edge-width of an embedded graph. Sergio Cabello, É. Colin de Verdière, Francis Lazarus. Computational Geometry: Theory and Applications, 45(5-6):215-224, 2012. (Also appeared in Proc. SoCG'10)
Persistence-sensitive simplification of functions on surfaces in linear time. Dominique Attali, Marc Glisse, Samuel Hornus, Francis Lazarus and Dmitriy Morozov.TOPOINVIS'09 (Topological Methods In Data Analysis and Visualization), 23-24 Feb. 2009, Snowbird. Additional pictures.
Homotopic Fréchet distance between curves --- or, walking your dog in the woods in polynomial time. E. W. Chambers, É. Colin de Verdière, J. Erickson, Sylvain Lazard, Francis Lazarus, Shripad Thite. Computational Geometry: Theory and Applications, 43:295-311, 2010. (Also appeared in Proc. SoCG'08 .)
Splitting (complicated) surfaces is hard. E. W. Chambers, É. Colin de Verdière, J. Erickson, F. Lazarus, and K. Whittlesey. Computational Geometry: Theory and Applications, 41:94-110, 2008 (Also appeared in Proc. SoCG'06). Submitted version
Optimal Pants Decompositions and Shortest Homotopic Cycles on an Orientable Surface. É. Colin de Verdière and F. Lazarus. Journal of the ACM, 54(4), art. 18, jul. 2007. (Also appeared in Proc. Graph Drawing, 2003). Submitted version
Optimal System of Loops on an Orientable Surface. É. Colin de Verdière and F. Lazarus. Discrete & Computational Geometry. 33(3): 507 - 534, 2005. (Also appeared in Proc. FOCS'02.) Abstract and electronic copies.
Computing a Canonical Polygonal Schema of an Orientable Triangulated Surface. F. Lazarus, M. Pocchiola, G. Vegter and A. Verroust. 17th ACM Symposium on Computational Geometry, pp. 80-89, June 2001. Submitted version
Cutting and Stitching: Converting Sets of Polygons to Manifold Surfaces. A. Guéziec, G. Taubin, F. Lazarus and W. Horn. IEEE Transactions on Visualization and Computer Graphics, 7(2):136-151, 2001.
Extracting skeletal curves from 3D scattered data. A. Verroust and F. Lazarus. The Visual Computer. Springer, 16(1):15-25, 2000.
Level Set Diagrams of Polyhedral Objects. F. Lazarus and A. Verroust. ACM Solid Modeling'99. June 1999, Ann-Arbor, Michigan, USA.
A Framework for Streaming Geometry in VRML. A. Guéziec, G. Taubin, F. Lazarus and W. Horn. IEEE Computer Graphics and Applications, 19(2):68-78, 1999.
Three-dimensional metamorphosis: a survey. F. Lazarus and A. Verroust. The Visual Computer, 14(8-9):373-389, 1998.
Progressive Forest Split Compression. G. Taubin, A. Guéziec, W. Horn and F. Lazarus. Siggraph'98 Conference Proceedings. August 1998, Orlando, Florida, USA.
Geometry coding and VRML. G. Taubin, W. Horn, F. Lazarus and J. Rossignac. Proceedings of the IEEE, 86(6):1228-1243, 1998.