- Édouard Thiel and Rita Zrour
     
  [ pdf 300k ; 
    annex with sources ]
  
  Exact Medial Axis based on Flake Digital Circles.
  
  In DGMM 2024, Discrete Geometry and Mathematical Morphology, 
  Florence, april 2024, rejected.
 
- Édouard Thiel
   
[ pdf 226k ;
  bib ;
  doi ;
  annex with sources ]
On the Validity of the Two Raster Sequences Distance Transform Algorithm.
In DGMM 2022, Discrete Geometry and Mathematical Morphology, 
volume 13493 of Lectures Notes in Computer Science, 
pages 436-446, Strasbourg, october 2022. 
- F. Rebatel and E. Thiel.
   
[ pdf 156k ;
  bib ;
  doi ]
On dimension partitions in discrete metric spaces.
In 17th DGCI, Discrete Geometry for Computer Imagery, 
volume 7749 of Lectures Notes in Computer Science, 
pages 11-22, Sevilla, March 2013.
 
- F. Rebatel and E. Thiel.
   
[ pdf 238k ;
  bib ;
  doi ]
Metric bases for polyhedral gauges.
In 16th DGCI, Discrete Geometry for Computer Imagery, 
volume 6607 of Lectures Notes in Computer Science, 
pages 116-128, Nancy, April 2011.
 
- V. Chepoi, K. Nouioua, E. Thiel and Y. Vaxès.
   
[ pdf 306k ;
  bib ;
  doi ]
Pareto envelopes in simple polygons.
Int. Journal of Computational Geometry and Applications, 
20(6):707-721, 2010.
 
- J. Hulin and E. Thiel.
   
[ pdf 242k ;
  bib ;
  doi ]
Farey Sequences and the Planar Euclidean Medial Axis Test Mask.
In 13th IWCIA, International Workshop on Combinatorial Image Analysis, 
volume 5852 of Lectures Notes in Computer Science, 
pages 82-95, Cancun, Mexico, Nov 2009.
 
- J. Hulin and E. Thiel.
   
[ pdf 299k ;
  bib ;
  doi ;
  annex with proofs ]
Appearance Radii in Medial Axis Test Mask for Small Planar Chamfer Norms.
In 15th DGCI, Discrete Geometry for Computer Imagery, 
volume 5810 of Lectures Notes in Computer Science, 
pages 434-445, Montréal, Canada, Sept 2009.
 
- J. Hulin and E. Thiel.
   
[ pdf 547k ;
  bib ;
  doi ]
Visible vectors and discrete Euclidean medial axis.
Discrete and Computational Geometry, 
42(4):759-773, 2009.
 
- V. Chepoi, K. Nouioua, E. Thiel and Y. Vaxes.
   
[ pdf 127k ;
  bib  ]
Pareto envelopes in simple polygons.
In EWCG #24, European Workshop on Comp. Geom., 
pages 149-152, Nancy, 18-20 March 2008.
 
- E. Thiel and D. Coeurjolly.
   
[ pdf 311k ;
  bib ]
Distances discrètes.
In D. Coeurjolly, A. Montanvert, and JM. Chassery, editors, 
Traité IC2, "Géométrie discrète et images numériques", 
chapitre 5, pages 127-150, Hermès, 2007. ISBN 978-2-7462-1643-3.
 
- J. Hulin and E. Thiel.
   
[ pdf 244k ;
  bib ; 
  doi ]
Chordal Axis on Weighted Distance Transforms.
In 13th DGCI, Discrete Geometry for Computer Imagery, volume
4245 of Lectures Notes in Computer Science, pages 271-282, 
Szeged, Hungary, Oct 2006.
 
- E. Remy and E. Thiel.
   
[ pdf 560k ;
  bib ; 
  doi ;
  examples and sources ]
Exact Medial Axis with Euclidean Distance.
Image and Vision Computing, 23(2):167-175, 2005.
 
- E. Remy and E. Thiel.
   
[ pdf 180k,
  ps.gz 208k ;
  bib ; 
  doi ]
Look-Up Tables for Medial Axis on Squared Euclidean Distance Transform.
In 11th DGCI, Discrete Geometry for Computer Imagery, volume
2886 of Lectures Notes in Computer Science, pages 224-235, 
Naples, Italy, Nov 2003.
 
- E. Remy and E. Thiel.
   
[ pdf 964k ;
  bib ; 
  doi ;
  examples and sources ]
Medial axis for chamfer distances: computing look-up tables and
neighbourhoods in 2D or 3D.
Pattern Recognition Letters, 23(6):649-661, April 2002.
 
- E. Thiel.
   
[ documents ;
  bib ]
Géométrie des distances de chanfrein.
Habilitation à Diriger des Recherches, Université de la
Méditerranée, Aix-Marseille 2, Déc 2001.
 
- E. Remy and E. Thiel.
   
[ pdf 208k,
  ps.gz 768k ;
  bib ; 
  doi ]
Computing 3D medial axis for chamfer distances.
In 9th DGCI, Discrete Geometry for Computer Imagery, volume
1953 of Lectures Notes in Computer Science, pages 418-430, 
Uppsala, Sweden, Dec 2000.
 
- E. Remy and E. Thiel.
   
[ pdf 632k,
  ps.gz 1116k ;
  bib ]
Optimizing 3D chamfer masks with norm constraints.
In 7th IWCIA, Int. Workshop on Combinatorial Image
Analysis, pages 39-56, Caen, July 2000.
 
- E. Remy and E. Thiel.
   
[ pdf 452k,
  ps.gz 376k ;
  bib ]
Structures dans les sphères de chanfrein.
In 12ème RFIA, Rec. des Formes et I.A, volume 1, pages
483-492, Paris, Fev 2000.
 
- E. Remy and E. Thiel.  
   
[ pdf 592k,
  ps.gz 1140k ;
  bib ]
Triangulations des boules de chanfrein.
In 12ème journées de l'AFIG, pages 126-135, Reims, Nov 1999.
 
- D. Attali, G. Sanniti di Baja, and E. Thiel.
   
[ pdf 1892k ;
  bib ]
Skeleton simplification through non significant branch removal.
Image Processing and Communications, 3(3-4):63-72, 1997.
 
- G. Sanniti di Baja and E. Thiel.
   
[ pdf 940k ;
  bib ;
  doi ]
A skeletonization algorithm running on path-based distance maps.
Image and Vision Computing, 14(1):47-57, Feb 1996.
 
- D. Attali, G. Sanniti di Baja, and E. Thiel.
   
[ pdf 920k ;
  bib ;
  doi ]
Pruning discrete and semicontinuous skeletons.
In 8th ICIAP, volume 974 of Lectures Notes in Computer
Science, pages 488-493, Sanremo, Italy, Sept 1995.
 
- G. Sanniti di Baja and E. Thiel.
   
[ pdf 1508k ;
  bib ]
Computing and manipulating skeletons of planar patterns for shape
representation and description.
In REC PAD'95, pages 0.1.1-0.1.10, Aveiro, Portugal, Mar 1995.
 
- E. Thiel.
   
[ documents ;
  bib ]
Les distances de chanfrein en analyse d'images : fondements et
applications.
Thèse de Doctorat, Université Joseph Fourier, Grenoble 1, Sept 1994.
 
- G. Sanniti di Baja and E. Thiel.
   
[ pdf 536k ;
  bib ]
The path based distance skeleton: a flexible tool to analyse
silhouette shape.
In 12th ICPR, volume 2, pages 570-572, Jerusalem, Oct
1994.
 
- G. Sanniti di Baja and E. Thiel.
   
[ pdf 1256k ;
  bib ;
  doi ]
(3,4)-weighted skeleton decomposition for pattern representation and
description.
Pattern Recognition, 27:1039-1049, 1994.
 
- G. Sanniti di Baja and E. Thiel.
   
[ pdf 1620k ;
  bib ]
Computing and comparing distance-driven skeletons.
In C. Arcelli et al., editors, Aspects of Visual Form
Processing, pages 465-486. World Scientific, Singapore, 1994.
 
- E. Thiel.
   
[ pdf 1888k ;
  bib ]
Unification de la squelettisation menée en distance.
In 9ème RFIA, Rec. des Formes et I.A, volume 1, pages
349-358, Paris, Janv 1994.
 
- D. Attali and E. Thiel.
   
[ pdf 1276k ;
  bib ]
Du squelette discret ou continu.
In 3rd DGCI, Discrete Geometry for Computer Imagery, pages
236-244, Strasbourg, Sept 1993.
 
- G. Sanniti di Baja and E. Thiel.
   
[ pdf 992k ;
  bib ]
Shape description via weighted skeleton partition.
In 7th ICIAP, pages 87-94, Bari, Italy, Sept 1993.
 
- G. Sanniti di Baja and E. Thiel.
   
[ pdf 1172k ;
  bib ;
  doi ]
A multiresolution shape description algorithm.
In 5th CAIP, volume 719 of Lectures Notes
in Computer Science, pages 208-215, Budapest, Hungary, Sept 1993.
 
- E. Thiel.
   
[ pdf 1248k ;
  bib ]
Distances discrètes.
In 2nd DGCI, Discrete Geometry for Computer Imagery, pages
69-78, Grenoble, Sept 1992.
 
- E. Thiel and A. Montanvert.
   
[ pdf 808k ;
  bib ]
Chamfer masks : discrete distance functions, geometrical properties
and optimization.
In 11th ICPR, volume 3, pages 244-247, The Hague, The
Netherlands, Sept 1992.
 
- E. Thiel and A. Montanvert.
   
[ pdf 780k ;
  bib ]
Les distances du chanfrein en géométrie discrète.
In Distancia'92, conf. int. sur l'analyse en distance, pages
295-298, Rennes, Juin 1992.
 
- E. Thiel and A. Montanvert.
   
[ pdf 3820k ;
  bib ]
Etude et amélioration des distances du chanfrein pour l'analyse d'images.
Technique et Science Informatiques, 11(4):9-41, 1992.
 
- E. Thiel and A. Montanvert.
   
[ pdf 1572k ;
  bib ]
Shape splitting from medial lines using the 3-4 chamfer distance.
In C. Arcelli et al., editors, Visual Form Analysis and
Recognition, pages 537-546. Plenum, New York, 1992.
 
- E. Thiel and A. Montanvert.
   
[ pdf 1872k ;
  bib ]
Approximation discrète de la distance euclidienne pour l'analyse
d'images : étude et amélioration des distances du chanfrein.
In 8ème RFIA, Rec. des Formes et I.A, volume 2, pages
829-839, Lyon, Nov 1991.
 
- E. Thiel and A. Montanvert.
   
[ pdf 3036k ;
  bib ]
Approximations discrètes de la distance euclidienne.
In 1st DGCI, Discrete Geometry for Computer Imagery,
Strasbourg, Sept 1991.
 
- E. Thiel.
   
[ bib ]
Amélioration des distances du chanfrein ; construction de la
ligne médiane et décomposition de formes.
DEA en Mathématiques Appliquées, UJF, Grenoble 1, 1991.
 
- E. Thiel.
   
[ pdf 1924k ;
  bib ]
Labyrinthes.
Science et Vie Micro, 50:101-104, Mai 1988.