Publications
Papers can be downloaded by clicking on their title (in red). These papers are copyrighted, but permission to make digital or hard copies of all or part of these works for personal or classroom use is granted without fee, provided that copies are not made or distributed for commercial advantage and that copies bear this notice and the full citation on the first page.
2011
- Structural Analysis of the SDSS Cosmic Web I. Nonlinear Density Field Reconstructions. Monthly Notices of the Royal Astronomical Society, 000: 1-41, 2011.
- Dynamics and Geometry Near Resonant Bifurcations. Regular and Chaotic Dynamics, 16: 39-50, 2011.
- Certified computation of Morse-Smale complexes on Implicit Surfaces. Abstracts of the 27th European Workshop on Computational Geometry, Morschach, Switzerland, pag. 221-224, March 28-30, 2011.
2010
- Alpha Shape Topology of the Cosmic Web. Seventh International Symposium on Voronoi Diagrams in Science and Engineering, Quebec City, CA, pag. 224-234, June 28-30, 2010.
- Recognition of resonance type in periodically forced oscillators. Physica D, 239: 1627-1636, 2010.
- Certified computation of planar Morse-Smale complexes. Abstracts of the 26th European Workshop on Computational Geometry, Dortmund, Germany, pag. 105-108, March 22-24, 2010.
2009
- Geometry and dynamics of mildly degenerate Hopf-Neimark-Sacker families near resonance. Nonlinearity, 22: 2161-2200, 2009.
- Recovering Structure from r-Sampled Objects. Eurographics Symposium on Geometry Processing, Berlin, Germany, pag. 1349-1360, July 15-17, 2009.
- Certified Meshing of RBF-based Isosurfaces. Abstracts of the 25th European Workshop on Computational Geometry, Brussels, Belgium, pag. 101-104, March 16-18, 2009.
2008
- Recognition of the bifurcation type of resonance in mildly degenerate Hopf-Neimark-Sacker families. Nonlinearity, 21: 2463-2482, 2008.
- Generic Hopf-Neimark-Sacker bifurcations in feed-forward systems. Nonlinearity, 21: 1547-1578, 2008.
- Isotopic Implicit Surface Meshing. Discrete and Computational Geometry, 39: 138-157, 2008.
- Seed Polytopes for Incremental Approximation. Abstracts of the 24th European Workshop on Computational Geometry, Nancy, France, pag. 13-16, 2008.
- Minimizing the Symmetric Difference Distance in Conic Spline Approximation. Abstracts of the 24th European Workshop on Computational Geometry, Nancy, France, pag. 21-24, 2008.
2007
- Approximation by conic splines. Mathematics in Computer Science, 1: 36-69, 2007.
- Meshing skin surfaces with certified topology. Computational Geometry: Theory and Applications, 36: 166-182, 2007.
- Isotopic Meshing of Implicit Surfaces. The Visual Computer, 23: 45-58, 2007.
- Certified meshing of families of isosurfaces. Proceedings Shape Modeling International, Lyon, France, pag. 261-270, June 13-15, 2007.
- Numerical continuation of normally hyperbolic invariant manifolds. Nonlinearity, 20: 1499-1534, 2007.
- Geometry of Resonance Tongues. Proceeding workshop on Singularity Theory and its Applications, Marseille, France, pag. 327-356, 2007.
- Minimizing the symmetric difference distance in conic spline approximation. Proceedings International Conference on Mathematical Aspects of Computer and Information Sciences (MACIS), Paris, France, December 5-7, 2007.
- Convex Approximation by Spherical Patches. Abstracts of the 23rd European Workshop on Computational Geometry, Graz, Austria, pag. 26-29, 2007.
- Complexity of Approximation by Conic Splines. Abstracts of the 23rd European Workshop on Computational Geometry, Graz, Austria, pag. 138-141, 2007.
2006
- Computing Contour Generators of Evolving Implicit Surfaces. ACM Transactions on Graphics, 25: 1243-1280, 2006.
- Envelope Surfaces. Proceedings 22nd ACM Symposium on Computational Geometry, Sedona, Arizona, USA, pag. 411-420, 2006.
- Computational Topology: An Introduction. In: J.-D. Boissonnat and M. Teillaud, Effective Computational Geometry for Curves and Surfaces. Springer series on Mathematics and Visualization. Springer-Verlag, Berlin, Chapter 7, p. 277-315, 2006.
- Meshing of Surfaces. In: J.-D. Boissonnat and M. Teillaud, Effective Computational Geometry for Curves and Surfaces. Springer series on Mathematics and Visualization. Springer-Verlag, Berlin, Chapter 5, p. 181-230, 2006.
- A versatile algorithm for computing invariant manifolds. In: A.N. Gorban, N. Kazantzis, Y.G. Kevrekidis, H.C. Ottinger and C. Theodoropoulos, Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena. Springer-Verlag, Berlin, p. 17-38, 2006.
2005
- Meshing skin surfaces with certified topology. Computer Aided Design and Computer Graphics, Hong Kong, China, pag. 287-292, 2005.
2004
- Approximation by skin surfaces. Computer Aided Design, 36: 331-344, 2004.
- Computational Topology. In: J.E. Goodman and J. O'Rourke, CRC Handbook of Discrete and Computational Geometry. CRC Press, Boca Raton, Florida, Chapter 32, pag. 719-742, 2004.
- Isotopic Implicit Surface Meshing. Proceeding Symposium on Geometry Processing, Nice, France, pag. 251-260, 2004.
- Isotopic Implicit Surface Meshing. Proceedings Thirty-Sixth Annual ACM Symposium on Theory of Computing (STOC), Chicago, USA, pag. 301-309, 2004.
- The Parametrically Forced Pendulum: A Case Study in 1½ Degree of Freedom. Journal of Dynamics and Differential Equations, 16: 899-948, 2004.
2003
- Tutte's Barycentric Method applied to Isotopies. Computational Geometry: Theory and Applications, 26: 81-97, 2003.
- Contour generators of evolving implicit surfaces. Proceedings 8th ACM Symposium on Solid Modeling and Applications, Seattle, USA, pag. 23-32, 2003.
- Approximation by skin surfaces. Proceedings 8th ACM Symposium on Solid Modeling and Applications, Seattle, USA, pag. 23-32, 2003.
- Bifurcations in Hamiltonian systems: computing singularities by computer algebra. Springer Lecture Notes in Mathematics, Volume 1806, 2003.
- The geometry of resonance tongues: a singularity theory approach. Nonlinearity, 16: 1511-1538, 2003.
- Multiple purpose algorithms for invariant manifolds. Dynamics of Continuous, Discrete and Impulsive Systems B, 10: 331-344, 2003.