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Publications of J.-O. Lachaud
Books and proceedings
  1. J.-O. Lachaud and A. Vialard, editors. Special issue: discrete topology and geometry for image and object representation, volume 65(1-3) of Graphical Models, May 2003. Academic Press. Keyword(s): discrete geometry, discrete topology, digital topology.


  2. A. Braquelaire, J.-O. Lachaud, and A. Vialard, editors. 10th Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2002), Bordeaux, France, volume 2301 of Lecture Notes in Computer Science, April 2002. Springer. Keyword(s): discrete geometry, digital topology.


Thesis
  1. J.-O. Lachaud. Espaces non-euclidiens et analyse d'image : modèles déformables riemanniens et discrets, topologie et géométrie discrète. Habilitation à Diriger des Recherches, Université Bordeaux 1, Talence, France, 2006. Note: (en français).


  2. J.-O. Lachaud. Extraction de surfaces à partir d'images tridimensionnelles : approche discrète et approche par modèle déformable. PhD thesis, Université Joseph Fourier, Grenoble, France, 1998. Note: (en français). [WWW] Keyword(s): 3D biomedical imagery, image analysis, image segmentation, shape recovery, deformable models, automated topology changes, multiresolution, snakes, deformable surface, digital topology, isosurface extraction, marching cubes, digital surface tracking.


Articles in journal, book chapters
  1. D. Coeurjolly, M. Foare, P. Gueth, and J.-O. Lachaud. Piecewise smooth reconstruction of normal vector field on digital data. Comput. Graph. Forum, 35(7):157-167, 2016. Note: Proc. of Pacific Graphics 2016. [WWW] [doi:10.1111/cgf.13013]


  2. J.-O. Lachaud, X. Provençal, and T. Roussillon. An output-sensitive algorithm to compute the normal vector of a digital plane. Theor. Comput. Sci., 624:73-88, 2016. [WWW] [doi:10.1016/j.tcs.2015.11.021]


  3. J.-O. Lachaud and B. Thibert. Properties of Gauss Digitized Shapes and Digital Surface Integration. Journal of Mathematical Imaging and Vision, 54(2):162-180, 2016. ISSN: 0924-9907. [WWW] [doi:10.1007/s10851-015-0595-7] Keyword(s): Gauss digitization, Geometric inference, Digital integral, Multigrid convergence, Set with positive reach, 65D18, 68U05, 65D30.


  4. L. Cuel, J.-O. Lachaud, Q. Mérigot, and B. Thibert. Robust Geometry Estimation Using the Generalized Voronoi Covariance Measure. SIAM Journal on Imaging Sciences, 8(2):1293-1314, 2015. [WWW] [doi:10.1137/140977552]


  5. J. Levallois, D. Coeurjolly, and J.-O. Lachaud. Scale-space feature extraction on digital surfaces. Computers & Graphics, 51:177 - 189, 2015. Note: International Conference Shape Modeling International. ISSN: 0097-8493. [WWW] [doi:http://dx.doi.org/10.1016/j.cag.2015.05.023] Keyword(s): Feature extraction, Digital geometry, Scale-space, Curvature estimation, Multigrid convergence, Integral invariants.


  6. D. Coeurjolly, B. Kerautret, and J.-O. Lachaud. Extraction of Connected Region Boundary in Multidimensional Images. IPOL Journal, 4:30-43, 2014. [WWW] [doi:10.5201/ipol.2014.74]


  7. D. Coeurjolly, J.-O. Lachaud, and J. Levallois. Multigrid convergent principal curvature estimators in digital geometry. Computer Vision and Image Understanding, 129:27 - 41, 2014. Note: Special section: Advances in Discrete Geometry for Computer Imagery. ISSN: 1077-3142. [WWW] [doi:http://dx.doi.org/10.1016/j.cviu.2014.04.013] Keyword(s): Digital geometry, Curvature estimation, Multigrid convergence, Integral invariants.


  8. B. Kerautret and J.-O. Lachaud. Meaningful Scales Detection: an Unsupervised Noise Detection Algorithm for Digital Contours. IPOL Journal, 4:98-115, 2014. [WWW] [doi:10.5201/ipol.2014.75]


  9. J.-O. Lachaud and M. Said. Two efficient algorithms for computing the characteristics of a subsegment of a digital straight line. Discrete Applied Mathematics, 161(15):2293 - 2315, 2013. Note: Advances in Discrete Geometry: 16th International Conference on Discrete Geometry for Computer Imagery. ISSN: 0166-218X. [WWW] [doi:http://dx.doi.org/10.1016/j.dam.2012.08.038] Keyword(s): Discrete geometry, Standard lines, Digital straight segment recognition, Stern–Brocot tree.


  10. A. Vacavant, T. Roussillon, B. Kerautret, and J.-O. Lachaud. A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours. Computer Vision and Image Understanding, 117(4):438-450, 2013. ISSN: 1077-3142. [WWW] [doi:10.1016/j.cviu.2012.07.006] Keyword(s): Noisy object analysis, Multi-scale noise detection, Irregular grids, Reeb graph.


  11. B. Kerautret and J.-O. Lachaud. Meaningful Scales Detection along Digital Contours for Unsupervised Local Noise Estimation. IEEE Transaction on Pattern Analysis and Machine Intelligence, 43:2379-2392, 2012. [doi:10.1109/TPAMI.2012.38]


  12. D. Coeurjolly, J.-O. Lachaud, and T. Roussillon. Multigrid Convergence of Discrete Geometric Estimators. In Valentin E. Brimkov and Reneta P. Barneva, editors, Digital Geometry Algorithms, volume 2 of Lecture Notes in Computational Vision and Biomechanics, pages 395-424. Springer Netherlands, 2012. ISBN: 978-94-007-4173-7. [WWW] [doi:10.1007/978-94-007-4174-4_13]


  13. J.-O. Lachaud. Digital Shape Analysis with Maximal Segments. In U. Köthe, A. Montanvert, and P. Soille, editors, Applications of Discrete Geometry and Mathematical Morphology, volume 7346 of Lecture Notes in Computer Science, pages 14-27. Springer Berlin / Heidelberg, 2012. ISBN: 978-3-642-32312-6. [WWW] Keyword(s): Computer Science, Digital geometry.


  14. E. Bretin, J.-O. Lachaud, and É. Oudet. Regularization of Discrete Contour by Willmore Energy. Journal of Mathematical Imaging and Vision, 40(2):214-229, 2011. ISSN: 0924-9907. [WWW] [doi:10.1007/s10851-010-0257-8] Keyword(s): Regularization, Digital geometry, Willmore energy, Phase field reconstruction, Convex geometry.


  15. G. Damiand, A. Dupas, and J.-O. Lachaud. Fully deformable 3D digital partition model with topological control. Pattern Recognition Letters, 32:1374-1383, 2011.


  16. J.-O. Lachaud and X. Provençal. Two linear-time algorithms for computing the minimum length polygon of a digital contour. Discrete Applied Mathematics, 159:2229-2250, 2011.


  17. S. Brlek, J.-O. Lachaud, X. Provençal, and C. Reutenauer. Lyndon + Christoffel = digitally convex. Pattern Recognition, 42(10):2239-2246, 2009. [WWW] [doi:10.1016/j.patcog.2008.11.010] Keyword(s): Digital convexity, Lyndon words, Christoffel words, Convex hull.


  18. B. Kerautret and J.-O. Lachaud. Curvature estimation along noisy digital contours by approximate global optimization. Pattern Recognition, 42(10):2265 - 2278, 2009. ISSN: 0031-3203. [WWW] [doi:http://dx.doi.org/10.1016/j.patcog.2008.11.013] Keyword(s): Discrete geometry, Digital contours, Curvature estimation, Feature detection, Robustness to noise.


  19. F. de Vieilleville and J.-O. Lachaud. Comparison and improvement of tangent estimators on digital curves. Pattern Recognition, 42(8):1693-1707, August 2009. [WWW] [doi:10.1016/j.patcog.2008.11.034] Keyword(s): Digital straight segments, Tangent estimator, Adaptive tangent estimator, Multi-grid convergence.


  20. S. Alayrangues, X. Daragon, J.-O. Lachaud, and P. Lienhardt. Equivalence between Closed Connected n-G-Maps without Multi-Incidence and n-Surfaces. Journal of Mathematical Imaging and Vision, 32(1):1-22, September 2008. [WWW] Keyword(s): Comparison of combinatorial structures, Subdivisions, Generalized maps, n-surfaces, Geometric modeling, Computational geometry, Discrete imagery.


  21. B. Kerautret, J.-O. Lachaud, and B. Naegel. Curvature based corner detector for discrete, noisy and multi-scale contours. International Journal of Shape Modeling, 14(2):127-145, 2008. [doi:10.1142/S0218654308001117]


  22. J.-O. Lachaud, A. Vialard, and F. de Vieilleville. Fast, Accurate and Convergent Tangent Estimation on Digital Contours. Image and Vision Computing, 25(10):1572-1587, October 2007. [WWW]


  23. F. de Vieilleville, J.-O. Lachaud, and F. Feschet. Maximal digital straight segments and convergence of discrete geometric estimators. Journal of Mathematical Image and Vision, 27(2):471-502, February 2007. [WWW]


  24. J.-O. Lachaud and R. Malgouyres. Géométrie discrète et images numériques, chapter 3. Topologie, courbes et surfaces discrètes. Traité IC2. Hermès, 2007. Note: In french.[WWW]


  25. J.-O. Lachaud and S. Valette. Géométrie discrète et images numériques, chapter 12. Approximation par triangulation. Traité IC2. Hermès, 2007. Note: In french.[WWW]


  26. S. Peltier, S. Alayrangues, L. Fuchs, and J.-O. Lachaud. Computation of homology groups and generators. Computers & Graphics, 30(1):62-69, 2006. [WWW]


  27. J.-O. Lachaud and B. Taton. Deformable Model with a Complexity Independent from Image Resolution. Computer Vision and Image Understanding, 99(3):453-475, 2005. [WWW] Keyword(s): deformable model, topology adaptation, resolution adaptation, curvature estimation, segmentation, reconstruction.


  28. D. Attali and J.-O. Lachaud. Delaunay conforming iso-surface; skeleton extraction and noise removal. Computational Geometry: Theory and Applications, 19(2-3):175-189, 2001. [WWW] Keyword(s): digital topology, isosurface extraction, marching cubes, Delaunay triangulation, skeleton.


  29. J.-O. Lachaud and A. Montanvert. Continuous analogs of digital boundaries: A topological approach to iso-surfaces. Graphical Models, 62:129-164, 2000. [WWW] Keyword(s): digital topology, isosurface extraction, marching cubes, digital surface tracking, Jordan-Brouwer theorem, simplicial complexes.


  30. J.-O. Lachaud and A. Montanvert. Deformable Meshes with Automated Topology Changes for Coarse-to-fine 3D Surface Extraction. Medical Image Analysis, 3(2):187-207, 1999. [WWW] Keyword(s): 3D biomedical imagery, image analysis, image segmentation, shape recovery, deformable models, automated topology changes, multiresolution, snakes, 3D pyramid, deformable surface.


  31. J.-O. Lachaud and A. Montanvert. Segmentation tridimensionnelle hiérarchique par triangulation de surface. Traitement du Signal, 13(6):619-634, 1996. [WWW] Keyword(s): 3D biomedical imagery, image analysis, image segmentation, shape recovery, deformable models, automated topology changes, multiresolution, snakes, deformable surface.


Conference articles
  1. M. Foare, J.-O. Lachaud, and H. Talbot. Image restoration and segmentation using the Ambrosio-Tortorelli functional and discrete calculus. In Proc. 23th International Conference on Pattern Recognition (ICPR2016), Cancun, Mexico, 2016.


  2. M. Foare, J.-O. Lachaud, and H. Talbot. Numerical implementation of the Ambrosio-Tortorelli functional using discrete calculus and application to image resoration and inpainting. In Proc. 1st Workshop on Reproducible Research in Pattern Recognition (RRPR2016), Cancun, Mexico, 2016.


  3. B. Kerautret, A. Krähenbühl, I. Debled-Rennesson, and J.-O. Lachaud. Analyse géométrique d'objets tubulaires 3D basée sur l'accumulation de normales. In Actes Reconnaissance de Formes et Intelligence Artificielle (RFIA'16), Clermont-Ferrand, France, 2016.


  4. B. Kerautret, A. Krähenbühl, I. Debled-Rennesson, and J.-O. Lachaud. Centerline Detection on Partial Mesh Scans by Confidence Vote in Accumulation Map. In Proc. 23th International Conference on Pattern Recognition (ICPR2016), Cancun, Mexico, 2016.


  5. B. Kerautret, A. Krähenbühl, I. Debled-Rennesson, and J.-O. Lachaud. On the Implementation of Centerline Extraction based on Confidence Vote in Accumulation Map. In Proc. 1st Workshop on Reproducible Research in Pattern Recognition (RRPR2016), Cancun, Mexico, 2016.


  6. J.-O. Lachaud. Convergent Geometric Estimators with Digital Volume and Surface Integrals. In Nicolas Normand, Jean-Pierre V. Guédon, and Florent Autrusseau, editors, Discrete Geometry for Computer Imagery - 19th IAPR International Conference, DGCI 2016, Nantes, France, April 18-20, 2016. Proceedings, volume 9647 of Lecture Notes in Computer Science, pages 3-17, 2016. Springer. [WWW] [doi:10.1007/978-3-319-32360-2_1]


  7. J.-O. Lachaud, X. Provençal, and T. Roussillon. Computation of the Normal Vector to a Digital Plane by Sampling Significant Points. In N. Normand, J. Guédon, and F. Autrusseau, editors, Discrete Geometry for Computer Imagery - 19th IAPR International Conference, DGCI 2016, Nantes, France, April 18-20, 2016. Proceedings, volume 9647 of Lecture Notes in Computer Science, pages 194-205, 2016. Springer. [WWW] [doi:10.1007/978-3-319-32360-2_15]


  8. H. Perrier, J. Levallois, D. Coeurjolly, J.-P. Farrugia, J.-C. Iehl, and J.-O. Lachaud. Interactive Curvature Tensor Visualization on Digital Surfaces. In N. Normand, J. Guédon, and F. Autrusseau, editors, Discrete Geometry for Computer Imagery - 19th IAPR International Conference, DGCI 2016, Nantes, France, April 18-20, 2016. Proceedings, volume 9647 of Lecture Notes in Computer Science, pages 282-294, 2016. Springer. [WWW] [doi:10.1007/978-3-319-32360-2_22]


  9. F. Grélard, F. Baldacci, A. Vialard, and J.-O. Lachaud. Precise Cross-Section Estimation on Tubular Organs. In George Azzopardi and Nicolai Petkov, editors, Proc. Computer Analysis of Images and Patterns (CAIP'2015), La Valetta, Malta, volume 9257 of Lecture Notes in Computer Science, pages 277-288, 2015. Springer International Publishing. ISBN: 978-3-319-23116-7. [WWW] [doi:10.1007/978-3-319-23117-4_24]


  10. B. Kerautret, A. Krähenbühl, I. Debled-Rennesson, and J.-O. Lachaud. 3D Geometric Analysis of Tubular Objects Based on Surface Normal Accumulation. In Vittorio Murino and Enrico Puppo, editors, Proc. Image Analysis and Processing (ICIAP 2015), Genova, Italy, volume 9279 of Lecture Notes in Computer Science, pages 319-331, 2015. Springer International Publishing. ISBN: 978-3-319-23230-0. [WWW] [doi:10.1007/978-3-319-23231-7_29]


  11. L. Cuel, J.-O. Lachaud, Q. Mérigot, and B. Thibert. Robust Normal Estimation using Order-k Voronoi Covariance. In Proc. 30th European Workshop on Computational Geometry (EuroCG 2014), Dead Sea, Israel, March 3-5 2014.


  12. L. Cuel, J.-O. Lachaud, and B. Thibert. Voronoi-Based Geometry Estimator for 3D Digital Surfaces. In Elena Barcucci, Andrea Frosini, and Simone Rinaldi, editors, Proc. Int. Conf. on Discrete Geometry for Computer Imagery (DGCI'2014), Sienna, Italy, volume 8668 of Lecture Notes in Computer Science, pages 134-149, 2014. Springer International Publishing. ISBN: 978-3-319-09954-5. [WWW] [doi:10.1007/978-3-319-09955-2_12]


  13. J. Levallois, D. Coeurjolly, and J.-O. Lachaud. Parameter-Free and Multigrid Convergent Digital Curvature Estimators. In Elena Barcucci, Andrea Frosini, and Simone Rinaldi, editors, Proc. Int. Conf. on Discrete Geometry for Computer Imagery (DGCI'2014), Sienna, Italy, volume 8668 of Lecture Notes in Computer Science, pages 162-175, 2014. Springer International Publishing. ISBN: 978-3-319-09954-5. [WWW] [doi:10.1007/978-3-319-09955-2_14] Keyword(s): Curvature estimation, multigrid convergence, integral invariants, digital straight segments, parameter-free estimators.


  14. D. Coeurjolly, J.-O. Lachaud, and J. Levallois. Integral based Curvature Estimators in Digital Geometry. In Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2013), Sevilla, Spain, volume 7749 of LNCS, pages 215-227, 2013. Springer.


  15. J.-O. Lachaud. Multigrid convergence of digital curvature estimators. In Proceedings of the CIRM Meeting: Discrete curvature, theory and applications, volume 3, CIRM, Luminy, France, November 18-22 2013. [WWW]


  16. B. Kerautret, J.-O. Lachaud, and M. Said. Meaningful Thickness Detection On Polygonal Curve. In Proc. 1st Int. Conf. on Pattern Recognition Applications and Methods (ICPRAM'2012), Vilamoura, Algarve, Portugal, 2012.


  17. M. Postolski, M. Janaszewski, Y. Kenmochi, and J.-O. Lachaud. Tangent estimation along 3D digital curves. In 21st International Conference on Pattern Recognition (ICPR'2012), pages 2079-2082, nov. 2012. ISSN: 1051-4651. Keyword(s): Accuracy, Convergence, Estimation, Pattern recognition, Shape, Time complexity.


  18. E. Charrier and J.-O. Lachaud. Maximal Planes and Multiscale Tangential Cover of 3D Digital Objects. In Proc. Int. Workshop Combinatorial Image Analysis (IWCIA2011), volume 6636 of Lecture Notes in Computer Science, pages 132-143, 2011. Springer Berlin / Heidelberg.


  19. G. Damiand, A. Dupas, and J.-O. Lachaud. Combining Topological Maps, Multi-Label Simple Points, and Minimum-Length Polygons for Efficient Digital Partition Model. In Proc. Int. Workshop Combinatorial Image Analysis (IWCIA2011), volume 6636 of Lecture Notes in Computer Science, pages 56-69, 2011. Springer Berlin / Heidelberg.


  20. B. Kerautret, J.-O. Lachaud, and T. P. Nguyen. Circular arc reconstruction of digital contours with chosen Hausdorff error. In Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2011), volume 6607 of Lecture Notes in Computer Science, Nancy, France, pages 247-259, April 2011. Springer.


  21. J.-O. Lachaud and X. Provençal. Dynamic Minimum Length Polygon. In Proc. Int. Workshop Combinatorial Image Analysis (IWCIA2011), volume 6636 of Lecture Notes in Computer Science, pages 208-221, 2011. Springer Berlin / Heidelberg.


  22. T Roussillon and J.-O. Lachaud. Accurate Curvature Estimation along Digital Contours with Maximal Digital Circular Arcs. In Proc. Int. Workshop Combinatorial Image Analysis (IWCIA2011), volume 6636 of Lecture Notes in Computer Science, pages 43-55, 2011. Springer Berlin / Heidelberg.


  23. T. Roussillon and J.-O. Lachaud. Delaunay properties of digital straight segments. In Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2011), volume 6607 of Lecture Notes in Computer Science, Nancy, France, pages 308-319, April 2011. Springer.


  24. M. Said and J.-O. Lachaud. Computing the Characteristics of a SubSegment of a Digital Straight Line in Logarithmic Time. In Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2011), volume 6607 of Lecture Notes in Computer Science, Nancy, France, pages 320-332, April 2011. Springer.


  25. J.-O. Lachaud. Digital shape analysis with maximal segments. In Proc. Workshop Advances in Digital Geometry and Mathematical Morphology (WADGMM-ICPR2010, Istanbul, Turkey, 2010.


  26. T. P. Nguyen, B. Kerautret, I. Debled-Rennesson, and J.-O. Lachaud. Unsupervised, Fast and Precise Recognition of Digital Arcs in Noisy Images. In Proc. International Conference Computer Vision and Graphics (ICCVG2010), volume 6374 of Lecture Notes in Computer Science, Warsaw, Poland, pages 59-68, September 2010.


  27. M. Said, J.-O. Lachaud, and F. Feschet. Multiscale Analysis of Digital Segments by Intersection of 2D Digital Lines. In Proc. 20th International Conference on Pattern Recognition (ICPR2010), Istanbul, Turkey, pages 4097-4100, August 2010. IEEE.


  28. A. Dupas, G. Damiand, and J.-O. Lachaud. Multi-Label Simple Points Definition for 3D Images Digital Deformable Model. In Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2009), volume 5810 of Lecture Notes in Computer Science, Montréal, Québec Canada, pages 156-167, 2009. Springer. [WWW]


  29. B. Kerautret and J.-O. Lachaud. Multiscale Analysis of Discrete Contours for Unsupervised Noise Detection. In Proc. International Workshop on Combinatorial Image Analysis (IWCIA2009), volume 5852 of Lecture Notes in Computer Science, Mexico Mexique, pages 187-200, 2009. Springer. [WWW]


  30. X. Provençal and J.-O. Lachaud. Two linear-time algorithms for computing the minimum length polygon of a digital contour. In Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2009), volume 5810 of Lecture Notes in Computer Science, Montréal, Québec Canada, pages 104-117, 2009. Springer. [WWW]


  31. M. Said, J.-O. Lachaud, and F. Feschet. Multiscale Discrete Geometry. In Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2009), volume 5810 of Lecture Notes in Computer Science, Montréal, Québec Canada, pages 118-131, 2009. Springer. [WWW]


  32. F. de Vieilleville and J.-O. Lachaud. Digital Deformable Model Simulating Active Contours. In Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2009), volume 5810 of Lecture Notes in Computer Science, Montréal, Québec Canada, pages 203-216, 2009. Springer. [WWW]


  33. F. de Vieilleville, J.-O. Lachaud, P. Herlin, O. Lezoray, and B. Plancoulaine. Top-Down Segmentation of Histological Images Using a Digital Deformable Model. In G. Bebis, R. Boyle, B. Parvin, D. Koracin, Y. Kuno, J. Wang, J.-X. Wang, J. Wang, R. Pajarola, P. Lindstrom, A. Hinkenjann, M. Encarnação, C. Silva, and D. Coming, editors, Advances in Visual Computing, volume 5875 of Lecture Notes in Computer Science, pages 327-336, 2009. Springer Berlin / Heidelberg. [WWW]


  34. S. Brlek, J.-O. Lachaud, and X. Provençal. Combinatorial view of digital convexity. In D. Coeurjolly, I. Sivignon, L. Tougne, and F. Dupont, editors, Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2008), Lyon, France, volume 4992 of LNCS, pages 57-68, April 2008. Springer. [WWW] Keyword(s): digital convexity, word combinatorics, Lyndon words, Christoffel words, convexity test.


  35. B. Kerautret and J.-O. Lachaud. Robust estimation of curvature along digital contours with global optimization. In D. Coeurjolly, I. Sivignon, L. Tougne, and F. Dupont, editors, Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2008), Lyon, France, volume 4992 of LNCS, pages 334-345, April 2008. Springer. [WWW] Keyword(s): discrete geometry, discrete curvature estimator, optimization, curvature minimization, feature extraction.


  36. B. Kerautret, J.-O. Lachaud, and B. Naegel. Comparison of Discrete Curvature Estimators and Application to Corner Detection. In G. Bebis et al., editor, Proc. 4th Int. Symp. Advances in Visual Computing (ISVC 2008), Las Vegas, Nevada, volume 5358 of LNCS, pages 710-719, December 2008. Springer. Keyword(s): digital geometry, discrete curvature estimator, corner detection, geometry of noisy shapes.


  37. H. G. Nguyen, B. Kerautret, P. Desbarats, and J.-O. Lachaud. Discrete Contour Extraction from Reference Curvature Function. In G. Bebis et al., editor, Proc. 4th Int. Symp. Advances in Visual Computing (ISVC 2008), Las Vegas, Nevada, volume 5359 of LNCS, pages 1176-1185, December 2008. Springer. Keyword(s): contour extraction, shape of reference, global curvature estimator.


  38. F. de Vieilleville and J.-O. Lachaud. Experimental Comparison of Continuous and Discrete Tangent Estimators Along Digital Curves. In Proc. Int. Workshop on Combinatorial Image Analysis (IWCIA'2008), Buffalo, NY, volume 4958 of LNCS, pages 26-37, March 2008. Springer. [WWW] Keyword(s): discrete geometry, discrete geometric estimators, tangent estimators, multigrid convergence.


  39. M. Braure de Calignon, L. Brun, and J.-O. Lachaud. Combinatorial pyramids and discrete geometry for energy-minimizing segmentation. In Proc. Int. Symposium on Visual Computing (ISVC'2006), Lake Tahoe, Nevada, volume 4292 of LNCS, pages 306-315, November 2006. Springer. [WWW] Keyword(s): combinatorial pyramid, multiscale image segmentation, energy minimization, discrete geometry.


  40. J.-O. Lachaud and F. de Vieilleville. Convex shapes and convergence speed of discrete tangent estimators. In Proc. Int. Symposium on Visual Computing (ISVC'2006), Lake Tahoe, Nevada, volume 4292 of LNCS, pages 688-697, November 2006. Springer. [WWW] Keyword(s): discrete geometry, discrete geometric estimators, tangent estimators, maximal segments, multigrid convergence, discrete convexity.


  41. F. de Vieilleville and J.-O. Lachaud. Revisiting Digital Straight Segment Recognition. In A. Kuba, K. Palágyi, and L.G. Nyúl, editors, Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2006), Szeged, Hungary, volume 4245 of LNCS, pages 355-366, October 2006. Springer. [WWW] Keyword(s): discrete geometry, digital straight segment recognition, stern-brocot tree, continued fraction, maximal segments.


  42. J.-O. Lachaud, A. Vialard, and F. de Vieilleville. Analysis and comparative evaluation of discrete tangent estimators. In E. Andrès, G. Damiand, and P. Lienhardt, editors, Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2005), Poitiers, France, volume 3429 of LNCS, pages 140-251, 2005. Springer. [WWW] Keyword(s): discrete geometry, discrete tangent estimators, digital straight segments.


  43. S. Peltier, S. Alayrangues, L. Fuchs, and J.-O. Lachaud. Computation of homology groups and generators. In E. Andrès, G. Damiand, and P. Lienhardt, editors, Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2005), Poitiers, France, volume 3429 of LNCS, pages 195-205, 2005. Springer. [WWW] Keyword(s): digital topology, topological invariants, homology computation, generators, Smith Normal Form, simplicial homology.


  44. F. de Vieilleville, J.-O. Lachaud, and F. Feschet. Maximal digital straight segments and convergence of discrete geometric estimators. In Proc. 14th Scandinavian Conference on Image Analysis (SCIA'2005), Joensuu, Finland, volume 3540 of LNCS, pages 988-1003, 2005. Springer. [WWW] Keyword(s): discrete geometry, digital straight segments, lattice convex polygon, asymptotic convergence, multigrid convergence, digital curvature estimation.


  45. S. Alayrangues, X. Daragon, J.-O. Lachaud, and P. Lienhardt. Equivalence between Regular n-G-maps and n-surfaces. In R. Klette and J. Zunic, editors, Proc. Int. Work. Combinatorial Image Analysis (IWCIA'2004), Auckland, New Zealand, December 1-3, volume 3322 of LNCS, pages 122-136, 2004. Springer. [WWW] Keyword(s): combinatorial structures, subdivisions, generalised maps, n-surfaces, geometric modeling, computational geometry, discrete imagery.


  46. J.-O. Lachaud and B. Taton. Resolution Independent Deformable Model. In Proc. 17th int. Conf. on Pattern Recognition (ICPR'2004), Cambridge, United Kingdom, 23-26 August, volume II, pages 237-240, 2004. IEEE Computer Society Press. [WWW]


  47. J.-O. Lachaud. Coding cells of digital spaces: a framework to write generic digital topology algorithms. In A. Del Lungo, V. Di Gesù, and A. Kuba, editors, Proc. Int. Work. Combinatorial Image Analysis (IWCIA'2003), Palermo, Italy, volume 12 of ENDM, 2003. Elsevier. [WWW] Keyword(s): digital topology, cellular decomposition, digital surface tracking.


  48. J.-O. Lachaud and B. Taton. Deformable Model with Adaptive Mesh and Automated Topology Changes. In M. Rioux, P. Boulanger, and G. Godin, editors, Proc. 4th int. Conf. 3-D Digital Imaging and Modeling (3DIM'2003), Banff, Alberta, Canada, 2003. IEEE Computer Society Press. [WWW] Keyword(s): 3D image segmentation, shape recovery, deformable models, snakes, automated topology changes, adaptive resolution, Riemannian geometry, Lagrangian mechanics, deformable surface, structure tensor.


  49. J.-O. Lachaud and A. Vialard. Geometric measures on arbitrary dimensional digital surfaces. In G. Sanniti di Baja, S. Svensson, and I. Nyström, editors, Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2003), Napoli, Italy, volume 2886 of LNCS, pages 434-443, 2003. Springer. [WWW] Keyword(s): digital topology, cellular decomposition, digital surface tracking, discrete geometry, discrete normal estimator.


  50. S. Alayrangues and J.-O. Lachaud. Equivalence Between Order and Cell Complex Representations. In H. Wildenauer and W. Kropatsch, editors, Proc. Computer Vision Winter Workshop (CVWW), Bad Aussee, Austria, pages 222-233, February 2002. [WWW] Keyword(s): discrete topology, order, cell complex.


  51. B. Taton and J.-O. Lachaud. Deformable Model with non-Euclidean Metrics. In A. Heyden, G. Sparr, M. Nielsen, and P. Johansen, editors, Proc. 7th European Conference on Computer Vision (ECCV'2002), Copenhagen, Denmark, volume 2352 (part III) of LNCS, pages 438-453, 2002. Springer, Berlin. [WWW] Keyword(s): image segmentation, shape recovery, deformable models, snakes, automated topology changes, adaptive resolution, Riemannian geometry, Lagrangian mechanics.


  52. B. Taton and J.-O. Lachaud. Modèle déformable en métrique non euclidienne. In Actes du 13ème Reconnaissance de Formes et Intelligence Artificielle (RFIA'02), Angers, France, pages 425-434, January 2002. [WWW] Keyword(s): image segmentation, shape recovery, deformable models, snakes, automated topology changes, adaptive resolution, Riemannian geometry, Lagrangian mechanics.


  53. J.-O. Lachaud and A. Vialard. Discrete deformable boundaries for the segmentation of multidimensional images. In C. Arcelli, L. P. Cordella, and G. Sanniti di Baja, editors, Proc. 4th Int. Workshop on Visual Form (IWVF4), Capri, Italy, volume 2059 of Lecture Notes in Computer Science, pages 542-551, 2001. Springer-Verlag, Berlin. [WWW] Keyword(s): image segmentation, discrete deformable model, energy-minimization, digital surface.


  54. B. Taton and J.-O. Lachaud. Modèle déformable en métrique non euclidienne. In Actes des 14èmes journées AFIG, Limoges, France, November 2001. [WWW] Keyword(s): image segmentation, shape recovery, deformable models, snakes, automated topology changes, adaptive resolution, Riemannian geometry, Lagrangian mechanics.


  55. D. Attali and J.-O. Lachaud. Constructing Iso-Surfaces Satisfying the Delaunay Constraint; Application to the Skeleton Computation. In Proc. 10th Int. Conf. on Image Analysis and Processing (ICIAP'99), Venice, Italy, Sept. 27-29, pages 382-387, 1999. [WWW] Keyword(s): digital topology, isosurface extraction, marching cubes, Delaunay triangulation, skeleton.


  56. D. Attali and J.-O. Lachaud. Construction d'iso-surfaces sous contraintes de Delaunay, codage par squelettes et filtrage. In Proc. GRETSI'99, Vannes, France, Sept. 13-17, pages 403-406, 1999. [WWW] Keyword(s): digital topology, isosurface extraction, marching cubes, Delaunay triangulation, skeleton.


  57. J.-O. Lachaud and A. Montanvert. Digital Surfaces as a Basis for Building Iso-surfaces. In Proc. 5th IEEE International Conference on Image Processing (ICIP'98), Chicago, Illinois, Oct 4-7, volume 2, pages 977-981, 1998. [WWW] Keyword(s): digital topology, isosurface extraction, marching cubes, digital surface tracking.


  58. J.-O. Lachaud. Topologically Defined Iso-surfaces. In Proc. 6th Discrete Geometry for Computer Imagery (DGCI'96), Lyon, France, volume 1176 of Lecture Notes in Computer Science, pages 245-256, 1996. Springer-Verlag, Berlin. [WWW] Keyword(s): digital topology, isosurface extraction, marching cubes, digital surface tracking.


  59. J.-O. Lachaud and A. Montanvert. A hierarchic and dynamic method for modeling surfaces: application to segmentation of 3D data. In Proc. Theoretical Foundations of Computer Vision, DagStuhl, Germany, March 1996. [WWW] Keyword(s): 3D biomedical imagery, image analysis, image segmentation, shape recovery, deformable models, automated topology changes, multiresolution, snakes, deformable surface.


  60. J.-O. Lachaud and A. Montanvert. Segmentation tridimensionnelle hiérarchique par triangulation de surface. In Proc. 10th Reconnaissance de Formes et Intelligence Artificielle (RFIA'96), Rennes, France, pages 13-22, January 1996. [WWW] Keyword(s): 3D biomedical imagery, image analysis, image segmentation, shape recovery, deformable models, automated topology changes, multiresolution, snakes, deformable surface.


  61. J.-O. Lachaud and A. Montanvert. Volumic Segmentation using Hierarchical Representation and Triangulated Surface. In Proc. 4th European Conference on Computer Vision (ECCV'96), Cambridge, UK, volume 1064 of Lecture Notes in Computer Science, pages 137-146, April 1996. Springer-Verlag, Berlin. [WWW] Keyword(s): 3D biomedical imagery, image analysis, image segmentation, shape recovery, deformable models, automated topology changes, multiresolution, snakes, deformable surface.


  62. J.-O. Lachaud and E. Bainville. A discrete adaptive model following topological modifications of volumes. In Proc. 4th Discrete Geometry for Computer Imagery (DGCI'94), Grenoble, France, pages 183-194, September 1994. [WWW] Keyword(s): 3D biomedical imagery, image analysis, shape recovery, deformable models, automated topology changes, snakes, deformable surface.


Internal reports
  1. M. Braure de Calignon, L. Brun, and J.-O. Lachaud. Combinatorial pyramids and discrete geometry for energy-minimizing segmentation. Research Report 1406-06, LaBRI, University Bordeaux 1, Talence, France, 2006.


  2. J.-O. Lachaud. On the convergence of some local geometric estimators on digitized curves. Research Report 1347-05, LaBRI, University Bordeaux 1, Talence, France, 2005. Keyword(s): discrete geometry, discret geometric estimator, asymptotic convergence, tangent estimation, curvature estimation, digital straight segment recognition.


  3. J.-O. Lachaud, A. Vialard, and F. de Vieilleville. Analysis and comparative evaluation of discrete tangent estimators. Research Report 1340-05, LaBRI, University Bordeaux 1, Talence, France, 2005. Keyword(s): discrete geometry, discret geometric estimator, asymptotic convergence, tangent estimation, digital straight segment recognition.


  4. F. de Vieilleville and J.-O. Lachaud. New bounds on the number and length of maximal segments on a convex digital polygon. Research Report 1364-05, LaBRI, University Bordeaux 1, Talence, France, 2005. Keyword(s): discrete geometry, asymptotic geometry, digital straight segment.


  5. F. de Vieilleville, J.-O. Lachaud, and F. Feschet. Maximal digital straight segments and convergence of discrete geometric estimators. Research Report 1350-05, LaBRI, University Bordeaux 1, Talence, France, 2005. Keyword(s): discrete geometry, asymptotic geometry, digital straight segment.


  6. J.-O. Lachaud. Writing generic digital topology and geometry algorithms. Research Report 1320-04, LaBRI, University Bordeaux 1, Talence, France, 2004. [WWW] Keyword(s): digital topology, cellular decomposition, digital surface tracking, discrete geometry.


  7. J.-O. Lachaud and A. Vialard. Normal vector estimation on arbitrary dimensional digital surfaces and applications. Research Report 1321-04, LaBRI, University Bordeaux 1, Talence, France, 2004.


  8. S. Alayrangues and J.-O. Lachaud. Equivalence Between Order and Cell Complex Representations. Research Report 1272-02, LaBRI, University Bordeaux 1, Talence, France, 2002. Keyword(s): discrete topology, order, cell complex.


  9. A. Esnard, J.-O. Lachaud, and A. Vialard. Discrete deformable boundaries for 3D image segmentation. Research Report 1270-02, LaBRI, University Bordeaux 1, Talence, France, 2002. Keyword(s): 3D image segmentation, discrete deformable model, energy-minimization, digital surface.


  10. J.-O. Lachaud. Coding cells of multidimensional digital spaces to write generic digital topology and geometry algorithms. Research Report 1283-02, LaBRI, University Bordeaux 1, Talence, France, 2002. [WWW] Keyword(s): digital topology, cellular decomposition, digital surface tracking, discrete geometry.


  11. B. Taton and J.-O. Lachaud. Deformable Models with Locally Adaptive Resolution using Riemannian Metrics defined from Image Structure Tensor. Research Report 1280-02, LaBRI, University Bordeaux 1, Talence, France, 2002. Keyword(s): image segmentation, shape recovery, deformable models, snakes, automated topology changes, adaptive resolution, Riemannian geometry, Lagrangian mechanics, structure tensor.


  12. B. Taton and J.-O. Lachaud. Deformable Model with Non-Euclidean Metrics. Research Report 1269-01, LaBRI, University Bordeaux 1, Talence, France, 2001. Keyword(s): image segmentation, shape recovery, deformable models, snakes, automated topology changes, adaptive resolution, Riemannian geometry, Lagrangian mechanics.


  13. J.-O. Lachaud and A. Vialard. Discrete deformable boundaries for image segmentation. Research Report 1244-00, LaBRI, Talence, France, 2000. [WWW] Keyword(s): image segmentation, discrete deformable model, energy-minimization, digital surface.


  14. J.-O. Lachaud. Topologically Defined Iso-surfaces. Research Report 96-20, Laboratoire de l'Informatique du Parallélisme, ENS Lyon, France, 1996. [WWW] Keyword(s): digital topology, isosurface extraction, marching cubes, digital surface tracking.


  15. J.-O. Lachaud and A. Montanvert. Volumetric Segmentation using Hierarchical Representation and Triangulated Surface. Research Report 95-37, Laboratoire de l'Informatique du Parallélisme, ENS Lyon, France, November 1995. [WWW] Keyword(s): 3D biomedical imagery, image analysis, image segmentation, shape recovery, deformable models, automated topology changes, multiresolution, snakes, deformable surface.


Miscellaneous
  1. J.-O. Lachaud. Asymptotic Linear Digital Geometry, 2010.


  2. J.-O. Lachaud. Géométrie discrète linéaire asymptotique et applications, February 2010.



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Last modified: Fri Dec 16 16:58:22 2016
Author: lachaud.


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