Team Geometrica

Members
Overall Objectives
Scientific Foundations
Application Domains
Software
New Results
Contracts and Grants with Industry
Other Grants and Activities
Dissemination
Bibliography

Bibliography

Major publications by the team in recent years

[1]
J.-D. Boissonnat, M. Teillaud (editors)
Effective Computational Geometry for Curves and Surfaces, Springer-Verlag, 2006
http://www-sop.inria.fr/geometrica/events/book/ECG.html.
[2]
J.-D. Boissonnat, M. Yvinec.
Algorithmic geometry, Cambridge University Press, UK, 1998
http://www-sop.inria.fr/prisme/personnel/yvinec/livre.html, traduit de la version française (Ediscience international) par Hervé Brönnimann.
[3]
H. Brönnimann, C. Burnikel, S. Pion.
Interval arithmetic yields efficient dynamic filters for computational geometry, in: Discrete Applied Mathematics, 2001, vol. 109, p. 25–47
http://hal.inria.fr/inria-00344281/.
[4]
L. Castelli Aleardi.
Représentations compactes de structures de données géométriques, École Polytechnique, France, 2006
http://tel.archives-ouvertes.fr/tel-00336188/, Thèse de doctorat en sciences.
[5]
F. Chazal, D. Cohen-Steiner, A. Lieutier.
A sampling theory for compact sets in Euclidean space, in: Discrete Computational Geometry, 2009, vol. 41, no 3, p. 461–479.
[6]
D. Cohen-Steiner, P. Alliez, M. Desbrun.
Variational Shape Approximation, in: ACM Transactions on Graphics. Special issue for SIGGRAPH conference, 2004, p. 905–914.
[7]
D. Cohen-Steiner.
Quelques problèmes liés à la discrétisation des surfaces, École Polytechnique, France, 2004
http://www.inria.fr/rrrt/tu-1137.html, Thèse de doctorat en sciences.
[8]
O. Devillers.
The Delaunay hierarchy, in: Internat. J. Found. Comput. Sci., 2002, vol. 13, p. 163–180
http://hal.inria.fr/inria-00166711.
[9]
S. Y. Oudot.
Sampling and Meshing Surfaces with Guarantees, Ecole Polytechnique, France, 2005
http://tel.archives-ouvertes.fr/tel-00338378, Thèse de doctorat en sciences.
[10]
M. Teillaud.
– Géométrie algorithmique – De la théorie à la pratique, Des objets linéaires aux objets courbes. / – Computational geometry – From theory to practice, From linear objects to curved objects., Université de Nice Sophia Antipolis, 2007
http://tel.archives-ouvertes.fr/tel-00175997/, Habilitation à diriger des recherches.

Publications of the year

Doctoral Dissertations and Habilitation Theses

[11]
P. Alliez.
Variational Approaches to Digital Geometry Processing, Université de Nice-Sophia Antipolis, France, 2009
http://tel.archives-ouvertes.fr/tel-00434316/fr/, Habilitation à diriger des recherches.
[12]
Q. Mérigot.
Détection de structures géométriques dans les nuages de points, Université Nice-Sophia Antipolis, Nice, France, 2009, Thèse de doctorat en sciences.
[13]
J. Tournois.
Optimisation de maillages, Université Nice-Sophia Antipolis, Nice, France, 2009, Thèse de doctorat en sciences.

Articles in International Peer-Reviewed Journal

[14]
J.-D. Boissonnat, L. J. Guibas, S. Y. Oudot.
Manifold reconstruction in arbitrary dimensions using witness complexes, in: Discrete and Computational Geometry, 2009, vol. 42, no 1, p. 37–70.
[15]
D. Boltcheva, M. Yvinec, J.-D. Boissonnat.
Feature preserving Delaunay mesh generation from 3D multi- material images, in: Computer Graphics Forum, 2009, vol. 28, p. 1455-14645
http://hal.inria.fr/inria-00413248, special issue for EUROGRAPHICS Symposium on Geometry Processing.
[16]
F. Chazal, D. Cohen-Steiner, L. J. Guibas, F. Mémoli, S. Y. Oudot.
Gromov-Hausdorff Stable Signatures for Shapes using Persistence, in: Computer Graphics Forum, 2009, vol. 28, p. 1393-1403, special issue for EUROGRAPHICS Symposium on Geometry Processing.
[17]
F. Chazal, D. Cohen-Steiner, A. Lieutier.
Normal Cone Approximation and Offset Shape Isotopy, in: Comp. Geom: Theory and Applications, 2009, vol. 42, p. 566-581.
[18]
F. Chazal, D. Cohen-Steiner, A. Lieutier, B. Thibert.
Stability of Curvature Measures, in: Computer Graphics Forum, 2009, vol. 28, p. 1485-1496, special issue for EUROGRAPHICS Symposium on Geometry Processing.
[19]
F. Chazal, A. Lieutier, N. Montana.
Discrete critical values: a general framework for silhouettes computation, in: Computer Graphics Forum, 2009, vol. 28, p. 1509-1518, special issue for EUROGRAPHICS Symposium on Geometry Processing.
[20]
P. M. M. de Castro, F. Cazals, S. Loriot, M. Teillaud.
Design of the CGAL 3D spherical kernel and application to arrangements of circles on a sphere, in: Computational Geometry: Theory and Applications, 2009, vol. 42, no 6-7, p. 536–550.
[21]
P. M. M. de Castro, J. Tournois, P. Alliez, O. Devillers.
Filtering relocations on a Delaunay triangulation, in: Computer Graphics Forum, 2009, vol. 28, p. 1465-1474
http://hal.inria.fr/inria-00413344, special issue for EUROGRAPHICS Symposium on Geometry Processing.
[22]
J. Demouth, O. Devillers, H. Everett, M. Glisse, S. Lazard, R. Seidel.
On the complexity of umbra and penumbra, in: Computational Geometry: Theory and Applications, 2009, vol. 42, p. 758–771
http://hal.inria.fr/inria-00431418/.
[23]
J. Demouth, O. Devillers, M. Glisse, X. Goaoc.
Helly-type theorems for approximate covering, in: Discrete & Computational Geometry, 2009, vol. 42, p. 379–398
http://hal.inria.fr/inria-00404171/.
[24]
J. Tournois, C. Wormser, P. Alliez, M. Desbrun.
Interleaving Delaunay Refinement and Optimization for Practical Isotropic Tetrahedron Mesh Generation, in: ACM Transactions on Graphics, 2009, vol. 28(3), p. 75:1-75:9
http://hal.inria.fr/inria-00359288, SIGGRAPH '2009 Conference Proceedings.

International Peer-Reviewed Conference/Proceedings

[25]
V. H. F. Batista, D. L. Millman, S. Pion, J. Singler.
Parallel Geometric Algorithms for Multi-Core Computers, in: Proc. 25th Annual Symposium on Computational Geometry, 2009, p. 217–226.
[26]
J.-D. Boissonnat, O. Devillers, S. Hornus.
Incremental construction of the Delaunay graph in medium dimension, in: Proc. 25th Annual Symposium on Computational Geometry, 2009, p. 208–216
http://hal.inria.fr/inria-00412437/.
[27]
D. Boltcheva, M. Yvinec, J.-D. Boissonnat.
Mesh Generation from 3D Multi-material Images, in: Medical Image Computing and Computer-Assisted Intervention, Lecture Notes in Computer Science, 2009, vol. 5762, p. 283–290
http://hal.inria.fr/inria-00420228/.
[28]
M. Caroli, M. Teillaud.
Computing 3D Periodic Triangulations, in: European Symposium on Algorithms, Lecture Notes in Computer Science, 2009, vol. 5757, p. 37–48.
[29]
F. Chazal, D. Cohen-Steiner, M. Glisse, L. J. Guibas, S. Y. Oudot.
Proximity of Persistence Modules and Their Diagrams, in: Proc. 25th Annual Symposium on Computational Geometry, 2009, p. 237–246.
[30]
F. Chazal, L. J. Guibas, S. Y. Oudot, P. Skraba.
Analysis of Scalar Fields over Point Cloud Data, in: Proc. ACM-SIAM Sympos. Discrete Algorithms, 2009, p. 1021–1030.
[31]
D. Cohen-Steiner, H. Edelsbrunner, J. Harer, D. Morozov.
Persistent homology for kernels, images, and cokernels, in: SODA '09: Proceedings of the Nineteenth Annual ACM -SIAM Symposium on Discrete Algorithms, Philadelphia, PA, USA, Society for Industrial and Applied Mathematics, 2009, p. 1011–1020.
[32]
Q. Mérigot, M. Ovsjanikov, L. J. Guibas.
Robust Voronoi-based curvature and feature estimation, in: SPM '09: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, New York, NY, USA, ACM, 2009, p. 1–12
http://dx.doi.org/10.1145/1629255.1629257.
[33]
N. Salman, M. Yvinec.
Surface Reconstruction from Multi-View Stereo, in: Proceedings of the 9th Asian Conference on Computer Vision, Lecture Notes in Computer Science, 2009
http://hal.archives-ouvertes.fr/inria-00422344/fr/.
[34]
N. Salman, M. Yvinec.
Video: High Resolution Surface Reconstruction from Overlapping Multiple-Views, in: Proceedings of the 25th Annual Symposium on Computational Geometry, 2009, p. 104–105
http://www.computational-geometry.org/SoCG-videos/socg09video/.
[35]
J. Tournois, R. Srinivasan, P. Alliez.
Perturbing Slivers in 3D Delaunay Meshes, in: Proceedings of the 18th International Meshing Roundtable, 2009, p. 157–173
http://hal.archives-ouvertes.fr/inria-00430202/.

National Peer-Reviewed Conference/Proceedings

[36]
P. Alliez.
Méthodes numériques pour la reconstruction de surfaces à partir de nuages de points, in: Journée annuelle de la société mathématique de France, 2009, p. 33–44.

Workshops without Proceedings

[37]
O. Aichholzer, F. Aurenhammer, O. Devillers, T. Hackl, M. Teillaud, B. Vogtenhuber.
Lower and upper bounds on the number of empty cylinders and ellipsoids, in: Abstracts 25th. European Workshop on Computational Geometry, 2009, p. 139–142
http://hal.inria.fr/inria-00412352.
[38]
P. M. M. de Castro, O. Devillers.
Fast Delaunay Triangulation for Converging Point Relocation Sequences, in: Abstracts 25th. European Workshop on Computational Geometry, 2009, p. 231–234
http://hal.inria.fr/inria-00413351.
[39]
Q. Mérigot, M. Ovsjanikov, L. J. Guibas.
Robust Voronoi-based curvature and feature estimation, in: Abstracts 25th. European Workshop on Computational Geometry, 2009, p. 285–288.

Scientific Books (or Scientific Book chapters)

[40]
P. Alliez, L. Saboret, G. Guennebaud.
Surface Reconstruction from Point Sets, in: CGAL User and Reference Manual, CGAL Editorial Board, 2009
http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/packages.html#Pkg:SurfaceReconstructionFromPointSets.
[41]
P. Alliez, L. Saboret, N. Salman.
Point Set Processing, in: CGAL User and Reference Manual, CGAL Editorial Board, 2009
http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/packages.html#Pkg:PointSetProcessing.
[42]
P. Alliez, S. Tayeb, C. Wormser.
AABB Tree, in: CGAL User and Reference Manual, CGAL Editorial Board, 2009
http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/packages.html#Pkg:AABB_tree.
[43]
M. Caroli, M. Teillaud.
3D Periodic Triangulations, in: CGAL User and Reference Manual, CGAL Editorial Board, 2009
http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/packages.html#Pkg:Periodic3Triangulation3.
[44]
P. M. M. de Castro, F. Cazals, S. Loriot, M. Teillaud.
3D Spherical Kernel, in: CGAL User and Reference Manual, CGAL Editorial Board, 2009
http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/packages.html#Pkg:SphericalKernel3.
[45]
S. Loriot, S. Pion.
CGAL Ipelets, in: CGAL User and Reference Manual, CGAL Editorial Board, 2009
http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/packages.html#Pkg:CGALIpelets.
[46]
L. Rineau, S. Tayeb, M. Yvinec.
3D Mesh Generation, in: CGAL User and Reference Manual, CGAL Editorial Board, 2009
http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/packages.html#Pkg:Mesh_3.

Books or Proceedings Editing

[47]
P. K. Agarwal, H. Alt, M. Teillaud (editors)
Computational Geometry, Dagstuhl Seminar Proceedings, Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany, 2009, no 09111
http://drops.dagstuhl.de/opus/volltexte/2009/2034.
[48]
M. Teillaud (editor)
Discrete and Computational Geometry - Special Issue on the 24th Annual Symposium on Computational Geometry, Springer-Verlag, October 2009, no 42(3), pages 341–516
http://www.springerlink.com/content/x07420503t74/?p=9d14aa8bf0744e7f9f16368b2aa0dc37&pi=0.

Internal Reports

[49]
O. Amini, J.-D. Boissonnat, P. Memari.
Geometric tomography with topological guarantees, INRIA, 2009, no 7147
http://hal.archives-ouvertes.fr/inria-00440322/, Research Report.
[50]
D. Arthur, S. Y. Oudot, A. Sharma.
Finding Friends and Followers in Sub-linear Time, INRIA, 2009, no 7084
http://hal.archives-ouvertes.fr/inria-00429459/, Research Report.
[51]
D. Attali, O. Devillers, X. Goaoc.
The Effect of Noise on the Number of Extreme Points, INRIA, 2009, no 7134
http://hal.inria.fr/inria-00438409/, Research Report.
[52]
J.-D. Boissonnat, A. Ghosh.
Manifold reconstruction using Tangential Delaunay Complexes, INRIA, 2009, no 7142
http://hal.archives-ouvertes.fr/inria-00440337/, Research Report.
[53]
M. Caroli, M. Teillaud.
Computing 3D Periodic Triangulations, INRIA, 2009, no 6823
http://hal.inria.fr/inria-00356871/, Research Report.
[54]
M. Caroli, P. M. M. de Castro, S. Loriot, O. Rouiller, M. Teillaud, C. Wormser.
Robust and efficient Delaunay triangulations of points on or close to a sphere, INRIA, 2009, no 7004
http://hal.inria.fr/inria-00405478/, Research Report.
[55]
F. Cazals, D. Cohen-Steiner.
Reconstruction d'ensembles compacts 3D, INRIA, 2009, no 6868
http://hal.inria.fr/inria-00370208/, Research Report.
[56]
F. Chazal, D. Cohen-Steiner, Q. Mérigot.
Geometric Inference for Measures based on Distance Functions, INRIA, 2009, no 6930
http://hal.inria.fr/inria-00383685/, Research Report.
[57]
F. Chazal, L. J. Guibas, S. Y. Oudot, P. Skraba.
Persistence-Based Clustering in Riemannian Manifolds, INRIA, 2009, no 6968
http://hal.inria.fr/inria-00383685/, Research Report.
[58]
P. M. M. de Castro, O. Devillers.
Self-Adapting Point Location, INRIA, 2009, no 7132
http://hal.inria.fr/inria-00438486/, Research Report.
[59]
O. Devillers.
Vertex Removal in Two Dimensional Delaunay Triangulation: Asymptotic Complexity is Pointless, INRIA, 2009, no 7104
http://hal.inria.fr/inria-00433107/, Research Report.
[60]
J. Tournois, C. Wormser, P. Alliez, M. Desbrun.
Interleaving Delaunay Refinement and Optimization for Practical Isotropic Tetrahedron Mesh Generation, INRIA, 2009, no 6826
http://hal.inria.fr/inria-00359288/, Research Report.

Patents and standards

[61]
F. Chazal, A. Lieutier, N. Montana.
Computer-implemented method of computing, in a computer aided design system, of a boundary of a modeled object, 2009, submitted with number 08291047.2-1229 (Europe) and 12/610,016 (USA).

Other Publications

[62]
G. Melquiond, S. Pion.
Directed Rounding Arithmetic Operations (Revision 2), 2009, no N2899-09-0089
http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2009/n2899.pdf.

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