[bibfile], last update: 2019-06-21.

Journals

1. 

   Laplace--Beltrami Operator on Digital Surfaces,
   with Thomas Caissard, David Coeurjolly and Jacques-Olivier Lachaud,
   Journal of Mathematical Imaging and Vision, Vol. 61, No. 3, p.359–379, Mar 2019.
   [doi] [url] [file] 
2. 

   Characterization of bijective digitized rotations on the hexagonal grid,
   with Kacper Pluta, David Coeurjolly, Pascal Romon, Yukiko Kenmochi and Victor Ostromoukhov,
   Journal of Mathematical Imaging and Vision, Vol. 60, No. 5, p.707–716 2018.
   [doi] [url] [file] 
3. 

   Two Plane-Probing Algorithms for the Computation of the Normal Vector to a Digital Plane,
   with Jacques-Olivier Lachaud and Xavier Provençal,
   Journal of Mathematical Imaging and Vision, Vol. 59, No. 1, p.23 – 39, Sep 2017.
   [doi] [url] [file] 
4. 

   An output-sensitive algorithm to compute the normal vector of a digital plane,
   with Jacques-Olivier Lachaud and Xavier Provençal,
   Journal of Theoretical Computer Science (TCS), Vol. 624, p.73–88, Apr 2016.
   [doi] [url] [file] 
5. 

   Euclidean farthest-point Voronoi diagram of a digital edge,
   Tristan Roussillon,
   Discrete Applied Mathematics, Vol. 183, p.118–129, Mar 2015.
   [doi] [url] [file] 
6. 

   A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours,
   with Antoine Vacavant, Bertrand Kerautret and Jacques-Olivier Lachaud,
   Computer Vision and Image Understanding, Vol. 117, No. 4, p.438–450, Apr 2013.
   [doi] [url] [file] 
7. 

   Digital Circles, Spheres and Hyperspheres: From Morphological Models to Analytical Characterizations and Topological Properties,
   with Jean-Luc Toutant and Eric Andres,
   Discrete Applied Mathematics, Vol. 161, No. 16-17, p.2662–2677, Nov 2013.
   [doi] [url] [file] 
8. 

   Faithful polygonal representation of the convex and concave parts of a digital curve,
   with Isabelle Sivignon,
   Pattern Recognition, Vol. 44, No. 10-11, p.2693–2700, Nov 2011.
   [url] [code] [file] [DGtal] 
9. 

   Measure of circularity for parts of digital boundaries and its fast computation,
   with Isabelle Sivignon and Laure Tougne,
   Pattern Recognition, Vol. 43, No. 1, p.37–46, Jan 2010.
   [url] [file] 
10. 

    Automatic computation of pebble roundness using digital imagery and discrete geometry,
    with Hervé Piégay, Isabelle Sivignon, Laure Tougne and Franck Lavigne,
    Computers and Geosciences, Vol. 35, No. 10, p.1992–2000, Oct 2009.
    [doi] [url] [file] 

Conferences

1. 

   Digital Plane Recognition with Fewer Probes,
   with Jacques-Olivier Lachaud,
   21st IAPR International Conference on Discrete Geometry for Computer Imagery, Vol. 11414, p.380–393, Mar 2019.
   [doi] [url] [pres] [file] 
2. 

   Heat kernel Laplace-Beltrami operator on digital surfaces,
   with Thomas Caissard, David Coeurjolly and Jacques-Olivier Lachaud,
   20th International Conference on Discrete Geometry for Computer Imagery, Sep 2017.
   [url] 
3. 

   Reconstructions of Noisy Digital Contours with Maximal Primitives Based on Multi-Scale/Irregular Geometric Representation and Generalized Linear Programming,
   with Antoine Vacavant, Bertrand Kerautret and Fabien Feschet,
   20th IAPR International Conference on Discrete Geometry for Computer Imagery, Sep 2017.
   [doi] [url] [poster] [file] 
4. 

   Computation of the normal vector to a digital plane by sampling signicant points,
   with Jacques-Olivier Lachaud and Xavier Provençal,
   19th IAPR International Conference on Discrete Geometry for Computer Imagery, Apr 2016.
   [url] [pres] [file] 
5. 

   An Arithmetical Characterization of the Convex Hull of Digital Straight Segments,
   Tristan Roussillon,
   DGCI 2014: the 18th IAPR International Conference on Discrete Geometry for Computer Imagery, p.150–161, Sep 2014.
   [url] [pres] [file] 
6. 

   2D Topological Map Isomorphism for Multi-Label Simple Transformation Definition,
   with Guillaume Damiand and Christine Solnon,
   18th International Conference on Discrete Geometry for Computer Imagery, Vol. 8668, p.39–50, Sep 2014.
   [doi] [url] [file] 
7. 

   Accurate curvature estimation along digital contours with maximal digital circular arcs,
   with Jacques-Olivier Lachaud,
   14-th International Workshop on Combinatorial Image Analysis (IWCIA), p.43–55, May 2011.
   [doi] [url] [pres] [file] 
8. 

   Unsupervised Polygonal Reconstruction of Noisy Contours by a Discrete Irregular Approach,
   with Antoine Vacavant and Bertrand Kerautret,
   14th International Workshop on Combinatorial Image Analysis - IWCIA'11, Vol. 6636, p.398–409, May 2011.
   [url] [pres] [file] 
9. 

   Delaunay properties of digital straight segments,
   with Jacques-Olivier Lachaud,
   16-th IAPR International Conference on Discrete Geometry for Computer Imagery (DGCI), p.308–319, Apr 2011.
   [doi] [url] [pres] [file] 
10. 

    Analytical Description of Digital Circles,
    with Eric Andres,
    16th Discrete Geometry for Computer Imagery, Vol. 6607, p.235–246, Apr 2011.
    [doi] [url] [poster] [file] 
11. 

    On Three Constrained Versions of the Digital Circular Arc Recognition Problem,
    with Laure Tougne and Isabelle Sivignon,
    Discrete Geometry For Computer Imagery, Vol. LNCS 5810, p.34–45 2009.
    [url] [poster] [file] 
12. 

    What Does Digital Straightness Tell About Digital Convexity ?,
    with Laure Tougne and Isabelle Sivignon,
    International Workshop on Combinatorial Image Analysis, Vol. 5852, p.43–55 2009.
    [url] [pres] [file] 
13. 

    Robust Decomposition of a Digital Curve into Convex and Concave Parts,
    with Isabelle Sivignon and Laure Tougne,
    International Conference on Pattern Recognition (ICPR 2008), p.1–4, Dec 2008.
    [url] [poster] [file] 
14. 

    Test and Measure of Circularity for Digital Curves,
    with Isabelle Sivignon and Laure Tougne,
    The 2008 International Conference on Image Processing, Computer Vision, and Pattern Recognition (IPCV'08), p.1–7, Jul 2008.
    [url] [pres] [file] 
15. 

    Computation of Binary Objects Sides Number using Discrete Geometry, Application to Automatic Pebbles Shape Analysis.,
    with Laure Tougne and Isabelle Sivignon,
    International Conference on Image Analysis and Processing, p.763–768 2007.
    [doi] [url] [poster] [file] 

Book Chapters

• 

  Multigrid convergence of discrete geometric estimators,
  with David Coeurjolly and Jacques-Olivier Lachaud,
  Digital Geometry Algorithms. Theoretical Foundations and Applications to Computational Imaging, p.395–424, May 2012.
  [url] [file] 

Technical Reports

• 

  Characterization of bijective discretized rotations by Gaussian integers,
  with David Coeurjolly,
  Tech. Report, Jan 2016.
  [url] [poster] [file] 

Thesis

• 

  Algorithmes d'extraction de modèles géométriques discrets pour la représentation robuste des formes,
  Tristan Roussillon,
  PhD thesis, Université Lumière Lyon2, Nov 2009.
  [url] [pres] [file]