1. Vincent Despré, Camille Lanuel, and Monique Teillaud. Computing an $\varepsilon$-net of a closed hyperbolic surface. Research Report, INRIA, 2024. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.

1. Vincent Despré, Loïc Dubois, Benedikt Kolbe, and Monique Teillaud. Experimental analysis of Delaunay flip algorithms on genus two hyperbolic surfaces. Research Report, INRIA, May 2022. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.



2. Vincent Despré, Benedikt Kolbe, Hugo Parlier, and Monique Teillaud. Computing a Dirichlet domain for a hyperbolic surface. Research Report, INRIA, December 2022. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.

1. Vincent Despré, Loïc Dubois, Benedikt Kolbe, and Monique Teillaud. Experimental analysis of Delaunay flip algorithms on genus two hyperbolic surfaces (v1). Research Report, INRIA, December 2021. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.



2. Vincent Despré, Benedikt Kolbe, and Monique Teillaud. Representing infinite hyperbolic periodic Delaunay triangulations using finitely many Dirichlet domains (v2). Research Report, INRIA, July 2021. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.



3. Matthijs Ebbens, Iordan Iordanov, Monique Teillaud, and Gert Vegter. Delaunay triangulations of generalized Bolza surfaces (v2). Research Report, INRIA, March 2021. [WWW] Keyword(s): _CGAL_, _Other_geometries_, _Triangulations_.

1. Vincent Despré, Benedikt Kolbe, and Monique Teillaud. Half-minimizers and Delaunay triangulations on closed hyperbolic surfaces (v1). Research Report, INRIA, December 2020. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.



2. Matthijs Ebbens, Iordan Iordanov, Monique Teillaud, and Gert Vegter. Delaunay triangulations of generalized Bolza surfaces (v1). Research Report, INRIA, December 2020. [WWW] Keyword(s): _CGAL_, _Other_geometries_, _Triangulations_.

1. Vincent Despré, Jean-Marc Schlenker, and Monique Teillaud. Flipping Geometric Triangulations on Hyperbolic Surfaces. Research Report, INRIA, U. Luxembourg, December 2019. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.

1. Iordan Iordanov and Monique Teillaud. Implementing Delaunay triangulations of the Bolza surface. Research Report 8994, INRIA, 2016. [WWW] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.

1. Mikhail Bogdanov and Monique Teillaud. Delaunay triangulations and cycles on closed hyperbolic surfaces. Research Report 8434, INRIA, December 2013. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.



2. Guillaume Damiand and Monique Teillaud. A Generic Implementation of dD Combinatorial Maps in CGAL. Research Report 8427, INRIA, December 2013. [WWW] Keyword(s): _CGAL_, _misc_.



3. Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J.T. Jones, Pratyush Pranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E.G.P., Johan Hidding, Job Feldbrugge, Eline ten Have, Matti van Engelen, Manuel Caroli, and Monique Teillaud. Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web. Research Report, 2013. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.

1. Mikhail Bogdanov, Olivier Devillers, and Monique Teillaud. Hyperbolic Delaunay complexes and Voronoi diagrams made practical. Research Report 8146, INRIA, 2012. [WWW] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.



2. Olivier Devillers, Menelaos I. Karavelas, and Monique Teillaud. Qualitative Symbolic Perturbation: a new geometry-based perturbation framework. Research Report 8153, INRIA, 2012. [WWW] Keyword(s): _Robustness_, _Triangulations_.



3. Mathieu Schmitt and Monique Teillaud. Meshing the hyperbolic octagon. Research Report 8179, INRIA, 2012. [WWW] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.

1. Rien van de Weygaert, Pratyush Pranav, Bernard J.T. Jones, E.G. Patrick Bos, Gert Vegter, Herbert Edelsbrunner, Monique Teillaud, Wojciech A. Hellwing, Changbom Park, Johan Hidding, and Mathijs Wintraecken. Probing Dark Energy with Alpha Shapes and Betti Numbers. Research Report, 2011. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.

1. Manuel Caroli and Monique Teillaud. Delaunay Triangulations of Point Sets in Closed Euclidean $d$-Manifolds. Research Report 7352, INRIA, 2010. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.

1. Manuel Caroli and Monique Teillaud. Computing 3D Periodic Triangulations. Research Report 6823, INRIA, 2009. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.



2. Manuel Caroli, Pedro M. M. de Castro, Sébastien Loriot, Olivier Rouiller, Monique Teillaud, and Camille Wormser. Robust and Efficient Delaunay Triangulations of Points on or Close to a Sphere. Research Report 7004, INRIA, 2009. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.

1. Oswin Aichholzer, Franz Aurenhammer, Olivier Devillers, Thomas Hackl, Monique Teillaud, and Birgit Vogtenhuber. Counting Quadrics and Delaunay Triangulations and a new Convex Hull Theorem. Research Report 6748, INRIA, 2008. [WWW] Keyword(s): _misc_, _Triangulations_.



2. Pedro Machado Manhães de Castro and Monique Teillaud. CGAL 3D Spherical Kernel. Research Report ACS-TR-363605-02, INRIA, 2008. [PDF] Keyword(s): _CGAL_, _Conics/Quadrics_.

1. Mridul Aanjaneya and Monique Teillaud. Triangulating the Real Projective Plane. Research Report 6296, INRIA, 09 2007. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.



2. Eric Berberich, Michael Hemmer, Menelaos I. Karavelas, and Monique Teillaud. Revision of Interface specification of algebraic kernel. Research Report ACS-TR-243300-01, INRIA, NUA, MPI, 2007. [PDF] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



3. Manuel Caroli, Nico Kruithof, and Monique Teillaud. Decoupling the CGAL 3D Triangulations from the Underlying Space. Research Report 6318, INRIA, 10 2007. [WWW] Keyword(s): _Other_geometries_, _CGAL_, _Triangulations_.



4. Monique Teillaud. Specifications of the CGAL 3D Circular Kernel. Research Report ACS-TR-243302-01, INRIA, 2007. [PDF] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



5. Pedro M. M. de Castro, Frédéric Cazals, Sébastien Loriot, and Monique Teillaud. Design of the CGAL Spherical Kernel and application to arrangements of circles on a sphere. Research Report 6298, INRIA, 09 2007. [WWW] Keyword(s): _CGAL_, _Conics/Quadrics_.



6. Pedro Machado Manhães de Castro, Sylvain Pion, and Monique Teillaud. Benchmarks and evaluation of algebraic kernels for circles. Research Report ACS-TR-243306-01, INRIA, 2007. [PDF] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



7. Pedro Machado Manhães de Castro, Sylvain Pion, and Monique Teillaud. CGAL package for 2d filtered circular kernel. Research Report ACS-TR-243404-02, INRIA, 2007. [PDF] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



8. Pedro M. M. de Castro, Sylvain Pion, and Monique Teillaud. Exact and efficient computations on circles in CGAL and applications to VLSI design. Research Report 6091, INRIA, 01 2007. [WWW] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.

1. Eric Berberich, Michael Hemmer, Menelaos I. Karavelas, Sylvain Pion, Monique Teillaud, and Elias P. Tsigaridas. Interface specification of algebraic kernel. Research Report ACS-TR-123101-01, INRIA, NUA, MPI, 2006. [POSTSCRIPT] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



2. Eric Berberich, Michael Hemmer, Menelaos I. Karavelas, Sylvain Pion, Monique Teillaud, and Elias P. Tsigaridas. Prototype implementation of the algebraic kernel. Research Report ACS-TR-121202-01, INRIA, NUA, MPI, 2006. [PDF] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



3. Olivier Devillers and Monique Teillaud. Perturbations and Vertex Removal in Delaunay and Regular 3D Triangulations. Research Report 5968, INRIA, 2006. [WWW] Keyword(s): _CGAL_, _Triangulations_, _Robustness_.



4. Sylvain Pion, Ilya Suslov, and Monique Teillaud. Benchmarking of different arrangement traits. Research Report ACS-TR-123110-01, INRIA, 2006. [POSTSCRIPT] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



5. Sylvain Pion, Ilya Suslov, and Monique Teillaud. On the evaluation of 2D curved kernels. Research Report ACS-TR-123104-01, INRIA, 2006. [POSTSCRIPT] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



6. Sylvain Pion and Monique Teillaud. CGAL package for 2D circular kernel. Research Report ACS-TR-123203-01, INRIA, 2006. [POSTSCRIPT] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.



7. Sylvain Pion, Monique Teillaud, and Constantinos P. Tsirogiannis. Geometric filtering of primitives on circular arcs. Research Report ACS-TR-121105-01, INRIA, 2006. [POSTSCRIPT] Keyword(s): _CGAL_, _Conics/Quadrics_, _Robustness_.

1. Efraim Fogel, Dan Halperin, Ron Wein, Sylvain Pion, Monique Teillaud, Ioannis Z. Emiris, Athanasios Kakargias, Elias P. Tsigaridas, Eric Berberich, Arno Eigenwillig, Michael Hemmer, Lutz Kettner, Kurt Mehlhorn, Elmar Schömer, and Nicola Wolpert. An Empirical Comparison of Software for Constructing Arrangements of Curved Arcs (preliminary version). Research Report ECG-TR-361200-01, Tel-Aviv University, INRIA Sophia-Antipolis, MPI Saarbrücken, 2004. [PDF] Keyword(s): _CGAL_, _Arrangements_, _Conics/Quadrics_.

1. Efi Fogel, Dan Halperin, Ron Wein, Monique Teillaud, Eric Berberich, Arno Eigenwillig, Susan Hert, and Lutz Kettner. Specification of the traits classes for CGAL arrangements of curves. Research Report ECG-TR-241200-01, MPI Saarbrücken, INRIA Sophia-Antipolis, Tel-Aviv University, 2003. Keyword(s): _CGAL_, _Arrangements_.



2. L. Gonzalez-Vega, F. Carreras, and M. Teillaud. Using different arithmetics in Computer-Aided Geometric Design. Deliverable 10.1, GAIA, 2003. Keyword(s): _Robustness_.



3. Bernard Mourrain, Jean-Pierre Técourt, and Monique Teillaud. Predicates for the Sweeping of an Arrangement of Quadrics in 3D. Research Report ECG-TR-242205-01, INRIA Sophia-Antipolis, 2003. [POSTSCRIPT] Keyword(s): _Conics/Quadrics_, _Arrangements_.



4. Sylvain Pion and Monique Teillaud. Towards a CGAL-like kernel for curves. Research Report ECG-TR-302206-01, MPI Saarbrücken, INRIA Sophia-Antipolis, 2003. [POSTSCRIPT] Keyword(s): _Conics/Quadrics_, _CGAL_, _Robustness_.

1. Olivier Devillers and Monique Teillaud. Perturbations and Vertex Removal in a 3D Delaunay Triangulation. Research Report 4624, INRIA, 2002. [WWW] Keyword(s): _CGAL_, _Triangulations_, _Robustness_.



2. Bernard Mourrain, Jean-Pierre Técourt, and Monique Teillaud. Algebraic methods for dealing with 3D implicit quadrics. Research Report ECG-TR-182105-02, INRIA Sophia-Antipolis, 2002. [POSTSCRIPT] Keyword(s): _Conics/Quadrics_, _Arrangements_.



3. Monique Teillaud. First Prototype of a CGAL Geometric Kernel with Circular Arcs. Research Report ECG-TR-182203-01, INRIA, 2002. [POSTSCRIPT] Keyword(s): _Conics/Quadrics_, _CGAL_, _Robustness_.

1. Bernard Chazelle, Olivier Devillers, Ferran Hurtado, Mercè Mora, Vera Sacristán, and Monique Teillaud. Splitting a Delaunay Triangulation in Linear Time. Research Report 4160, INRIA, 2001. [WWW] Keyword(s): _Triangulations_, _Randomized_algorithms_.



2. Olivier Devillers, Sylvain Pion, and Monique Teillaud. Walking in a triangulation. Research Report 4120, INRIA, 2001. [WWW] Keyword(s): _CGAL_, _Triangulations_.

1. Olivier Devillers, Alexandra Fronville, Bernard Mourrain, and Monique Teillaud. Algebraic Methods and Arithmetic Filtering for Exact Predicates on Circle Arcs. Research Report 3826, INRIA, 1999. [WWW] Keyword(s): _Conics/Quadrics_, _Robustness_.

1. Jean-Daniel Boissonnat, Eelco de Lange, and Monique Teillaud. Minkowski operations for satellite antenna layout. Research Report 3070, INRIA, 1996. [WWW] Keyword(s): _misc_.



2. Luc Tancredi and Monique Teillaud. Géométrie synthétique et robots parallèles. Research Report 2962, INRIA, 1996. [WWW] Keyword(s): _Parallel_robot_.



3. Luc Tancredi, Monique Teillaud, and Olivier Devillers. Symbolic Elimination for parallel manipulators. Research Report 2809, INRIA, 1996. [WWW] Keyword(s): _Parallel_robot_.



4. Mark de Berg, Otfried Cheong, Olivier Devillers, Mark van Kreveld, and Monique Teillaud. Computing the Maximum Overlap of Two Convex Polygons Under Translations. Research Report 3070, INRIA, 1996. [WWW] Keyword(s): _misc_.

1. Monique Teillaud. Union and Split Operations on Dynamic Trapezoidal Maps. Research Report 2486, INRIA, 1995. [WWW] Keyword(s): _Randomized_algorithms_, _Arrangements_.

1. Mark de Berg, Leonidas Guibas, Dan Halperin, Mark Overmars, Otfried Schwarzkopf, Micha Sharir, and Monique Teillaud. Reaching a Goal with Directional Uncertainty. Research Report 2190, INRIA, 1994. [WWW] Keyword(s): _misc_.

1. Olivier Devillers, Stefan Meiser, and Monique Teillaud. The space of spheres, a geometric tool to unify duality results on Voronoi diagrams. Research Report 1620, INRIA, Valbonne, France, 1992. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.

1. Jean-Daniel Boissonnat, André Cerezo, Olivier Devillers, and Monique Teillaud. Output-sensitive construction of the $3$-d Delaunay triangulation of constrained sets of points. Research Report 1415, INRIA, April 1991. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.



2. Olivier Devillers, Stefan Meiser, and Monique Teillaud. Fully dynamic Delaunay triangulation in logarithmic expected time per operation. Research Report 1349, INRIA, 1991. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.



3. Olivier Devillers, Monique Teillaud, and Mariette Yvinec. Dynamic location in an arrangement of line segments in the plane. Research Report 1558, INRIA, 1991. [WWW] Keyword(s): _Randomized_algorithms_, _Arrangements_.

1. Jean-Daniel Boissonnat, Olivier Devillers, René Schott, Monique Teillaud, and Mariette Yvinec. Applications of random sampling to on-line algorithms in computational geometry. Research Report 1285, INRIA, 1990. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_, _Arrangements_.



2. Jean-Daniel Boissonnat, Olivier Devillers, and Monique Teillaud. A dynamic construction of higher-order Voronoi diagrams and its randomized analysis. Research Report 1207, INRIA, 1990. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.

1. Jean-Daniel Boissonnat and Monique Teillaud. On the randomized construction of the Delaunay tree. Research Report 1140, INRIA, 1989. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.

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