Nicolas Delanoue
nicolas.delanoue@univ-angers.fr

Who I am

Since november 2008, I am associate professor at the Laboratoire d'Ingénierie des systèmes Automatisés (LISA). You can download my Ph.D. thesis titled "Algorithmes numériques pour l'analyse topologique. Calcul par intervalle et théorie des graphes" and the slides. My supervisors were Luc Jaulin and Bertrand Cottenceau.

My main subject of interest is the creation of numerical algorithms capable of computing the topological properties of sets. Therefore, my subjects of interest are : Interval analysis, computation, topology, path-connected set, path-planning, triangulation ...
My résumé

"The reading of all good books is like conversation with the finest men of past centuries." Descartes, 17th century. I am what I read .

Publications

• Using interval arithmetic to prove that a set is path-connected.
  Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau (2004)
  THEORETICAL COMPUTER SCIENCE, Special issue: Real Numbers and Computers.
  download the preprint (pdf) (624 KB)
  
  
• Stability analysis of a nonlinear system using interval analysis
  Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau (2006)
  Submitted
  download the preprint (pdf) (277 KB)
  
  
• Guaranteeing the homotopy type of a set defined by non-linear inequalities.
  Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau (2007)
  Reliable computing ISSN 1385-3139, 2007, vol. 13, no5, pp. 381-398
  download the preprint (pdf) (1069 KB)
  
  
• On sufficient conditions of the injectivity : development of a numerical test algorithm via interval analysis
  Sébastien Lagrange, Nicolas Delanoue, Luc Jaulin (2007)
  Reliable computing, Volume 13, issue 5, p.409-421.
  download the preprint (pdf) (276 KB)
  
  
• Injectivity Analysis using Interval Analysis : Application to Structural Identifiability.
  Sébastien Lagrange, Nicolas Delanoue, Luc Jaulin (2008)
  Automatica, Volume 44, Issue 11, November 2008, Pages 2959-2962
  download the preprint (pdf) (421 KB)
  
  
• Guaranteed Characterization of Capture Basins of Nonlinear State-Space Systems
  Nicolas Delanoue, Luc Jaulin, Laurent Hardouin & Mehdi Lhommeau (2009)
  Informatics in Control, Automation and Robotics Lecture Notes in Electrical Engineering, 2009, Volume 24, Part III, 265-272, DOI: 10.1007/978-3-540-85640-5_20
  download the preprint (pdf) (440 KB)
  
  
• A numerical approach to compute the topology of the Apparent Contour of a smooth mapping from R^2 to R^2.
  Nicolas Delanoue, Sébastien Lagrange (2013)
  Submitted to Journal of Computational and Applied Mathematics
  download the preprint (pdf) (580 KB)
  
  

Conference

• Proving that a set is connected via interval analysis. (2004)
  Minisymposium, Interval methods, Para 04 - Denmark - June 23, 2004.
  download the slides (pdf) (1302 KB)
  
  
• A new method for integrating ODE based on monotonicity (2010)
  SCAN 2010 14th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics ENS de Lyon, France, September 27-30, 2010
  download the slides (pdf) (2998 KB)
  
  
• Attraction domain of a nonlinear system using interval analysis and Lyapunov Theory (2011)
  School and Conference on Computational Methods in Dynamics - Triestre - Italy - 20 June 2011 - 8 July 2011
  download the slides (pdf) (4538 KB)
  
  
• Classification of mappings from R^2 to R^2 (2012)
  Intervals Pavings and Applications - Uppsala University, Uppsala, Sweden - 15-17 October 2012
  download the slides (pdf) (3500 KB)
  
  

Conference papers

• Counting the Number of Connected Components of a Set and Its Application to Robotics.
  N. Delanoue, L. Jaulin and B. Cottenceau. (2006)
  In Applied Parallel Computing, J. Dongarra, K. Madsen, J. Wasniewski (Eds), Lecture Notes in Computer Science. Volume 3732 / 2006. pp. 93 ISBN: 3-540-29067-2.
  download the pdf file (317 KB)
  
  
• Guaranteed numerical injectivity test via interval analysis.
  Sébastien Lagrange, Nicolas Delanoue, Luc Jaulin (2006)
  Trends in Constraint Programming, publisher ISTE, London, UK, may 2007. Chap 12, pages 237-248. Isbn = 9781905209972
  download the pdf file (397 KB)
  
  

Seminar

• Prouver qu'un ensemble est connexe en utilisant le calcul par intervalles.
  E.N.S. Cachan auprès du Groupe de Travail Ensembliste.
  Thursday, February 05, 2004
  download the pdf file (4 KB)
  
  
• Introduction au calcul par intervalles, exemple d'utilisation pour le $\pi_0$ d'un ensemble.
  Rencontres doctorales Mathématiques 2004
  Wednesday, May 05, 2004
  download the pdf file (2820 KB)
  
  
• Garantir le type d'homotopie d'un ensemble défini par des inégalités.
  Département et laboratoire de mathématiques de l'université d'Angers
  Friday, November 05, 2004
  download the pdf file (2527 KB)
  
  
• Introduction à la topologie algébrique. Garantir le type d'homotopie d'un ensemble via le calcul par intervalles.
  Groupe de travail sur les Méthodes Ensemblistes (Modélisation, Analyse et Conduite des Systèmes dynamiques)
  Thursday, February 03, 2005
  download the pdf file (2589 KB)
  
  
• Stabilility analysis of a nonlinear system using interval analysis.
  Groupe de travail sur les Méthodes Ensemblistes (Modélisation, Analyse et Conduite des Systèmes dynamiques)
  Thursday, March 16, 2006
  download the pdf file (958 KB)
  
  
• Set convexity analysis with Interval Analysis.
  Groupe de travail sur les Méthodes Ensemblistes (Modélisation, Analyse et Conduite des Systèmes dynamiques)
  Thursday, March 13, 2008
  download the pdf file (1507 KB)
  
  
• Attraction domain and nonlinear dynamical system using interval analysis.
  SWIM08 - A small workshop on Interval Methods - Montpellier
  Thursday, June 19, 2008
  download the pdf file (3365 KB)
  
  
• Computational Homology
  Séminaire du LISA - Angers
  Tuesday, February 03, 2009
  download the pdf file (2374 KB)
  
  
• A new method for integrating ODE based on monotonicity
  SWIM 09, A small workshop on Interval Methods, EPFL Lausane
  Thursday, June 11, 2009
  download the pdf file (1057 KB)
  
  
• Sur le calcul de la topologie d'objets en utilisant seulement de l'arithmétique d'intervalles.
  RAIM'09: 3es Rencontres Arithmétique de l'Informatique Mathématique, LIP, ENS Lyon
  Tuesday, October 27, 2009
  download the pdf file (3919 KB)
  
  
• Guaranteeing the homotopy type of a set dened by non-linear inequalities.
  Topological Methods For The Study Of Discrete Structures Université de la Méditerranée. International Center for Mathematical Meetings: C.I.R.M. Marseille, France
  Monday, March 01, 2010
  download the pdf file (3913 KB)
  
  
• A new method for integrating ODE based on monotonicity
  SCAN 2010 14th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics ENS de Lyon, France, September 27-30, 2010
  Monday, September 27, 2010
  download the pdf file (2998 KB)
  
  

Demo and solvers

• This a very short introduction to wxWidgets. One can find how to combine wxwidgets with thread, opengl ... Go to the webpage (The web-page is in French) .
• Flash-ActionScript demos that I have developed to introduce people to algebraic topology.
  Go to the webpage .
• The HIA solver creates an abstract simplicial complex which is homotopy equivalent to a given set defined by inequalities.
  Size : 964 KB, Download HIA.exe.
• Rope.exe is a light software used that how HIA algorithm can be useful. Size: 534 KB Download Rope.exe
• The CIA solver can PROVE that a set defined by inequalities is connected. It can also used to count the number of connected components.
  Size: 900 KB Download CIA.exe
• Robot2D is a very light software used to show how topology can help to solve a robotic problem.
  Size: 534 KB, Download Robot2D.exe
• SIVIA is a tutorial software used to introduce interval analysis. This introduction is based on a Set Inversion.
  Size: 696 KB Download SIVIA.exe

Upcoming and Recent Trips

• SCAN 2010
  14th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics
  ENS Lyon, France, September 27-30, 2010
  
• Journées Nationales de Calcul Formel (JNCF) 2007
  CIRM, Luminy
  29 janvier - 2 février 2007
• TRIMESTER ON REAL GEOMETRY September 12th - December 16th, 2005,
  Centre Emile Borel, institut Henri Poincaré. Scientific Programme
• International Conference on Polynomial System Solving
  Paris, November
  24-25-26 2004 in honor of Daniel Lazard