Publications

Jui-Ting Lu, Tristan Roussillon, Jacques-Olivier Lachaud, David Coeurjolly (2024). Delaunay property and proximity results of the L-algorithm for digital plane probing. Theoretical Computer Science, 1011: 114719, 2024.

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Fabien Feschet, Jacques-Olivier Lachaud (2024). New characterizations of full convexity. In: Brunetti, S., Frosini, A., Rinaldi, S. (eds) Discrete Geometry and Mathematical Morphology. DGMM 2024, volume 14605 of Lecture Notes in Computer Science, pp 41-53, 2024. Springer, Cham.

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Colin Weill-Duflos, David Coeurjolly, Jacques-Olivier Lachaud (2024). Digital Calculus Frameworks and Comparative Evaluation of Their Laplace-Beltrami Operators. In: Brunetti, S., Frosini, A., Rinaldi, S. (eds) Discrete Geometry and Mathematical Morphology. DGMM 2024, volume 14605 of Lecture Notes in Computer Science, pp 93-106, 2024. Springer, Cham.

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Stéphane Breuils, David Coeurjolly, Jacques-Olivier Lachaud (2024). Construction of Fast and Accurate 2D Bijective Rigid Transformation. In: Brunetti, S., Frosini, A., Rinaldi, S. (eds) Discrete Geometry and Mathematical Morphology. DGMM 2024, volume 14605 of Lecture Notes in Computer Science, pp 80-92, 2024. Springer, Cham.

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Fabien Feschet, Jacques-Olivier Lachaud (2023). An Envelope Operator for Full Convexity to Define Polyhedral Models in Digital Spaces. J. Math. Imaging Vis., 2023.

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Jacques-Olivier Lachaud, David Coeurjolly, Céline Labart, Pascal Romon, Boris Thibert (2023). Lightweight Curvature Estimation on Point Clouds with Randomized Corrected Curvature Measures. Comput. Graph. Forum, (Proc. of Symposium on Geometry Processing, SGP2023, Genova, Italy)), 42(5): e14910, 2023.

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Colin Weill-Duflos, David Coeurjolly, Fernando de Goes, Jacques-Olivier Lachaud (2023). Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional. Computer Aided Geometric Design, Proc. International Conference on Geometric Modeling and Processing (GMP 2023), Genoa, Italy. 102231, 2023..

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Daniel Martins Antunes, Jacques-Olivier Lachaud, Hugues Talbot (2023). Elastica Energy Regularization via Graph Cuts. Research report, hal-04421328, 2024.

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Fabien Feschet, Jacques-Olivier Lachaud (2022). Full convexity for polyhedral models in digital spaces. Discrete Geometry and Mathematical Morphology - Second International Joint Conference, DGMM 2022, Strasbourg, France, Oct 24-27, 2022, Proceedings, pp 98-109, volume 13493 of Lecture Notes in Computer Science, 2022, Springer, Cham..

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Jacques-Olivier Lachaud, Pascal Romon, Boris Thibert (2022). Corrected Curvature Measures. Discret. Comput. Geom., 68(2): 477–524, 2022.

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Jacques-Olivier Lachaud (2022). An Alternative Definition for Digital Convexity. J. Math. Imaging Vis., 64(7): 718-735, 2022.

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David Coeurjolly, Jacques-Olivier Lachaud (2022). A Simple Discrete Calculus for Digital Surfaces. Discrete Geometry and Mathematical Morphology - Second International Joint Conference, DGMM 2022, Strasbourg, France, Oct 24-27, 2022, Proceedings, pp 341-353, volume 13493 of Lecture Notes in Computer Science, 2022, Springer, Cham..

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David Coeurjolly, Jacques-Olivier Lachaud, Pierre Gueth (2021). Digital Surface Regularization With Guarantees. IEEE Trans. Vis. Comput. Graph., 27(6): 2896-2907, 2021.

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Daniel Martins Antunes, Jacques-Olivier Lachaud, Hugues Talbot (2021). An Elastica-Driven Digital Curve Evolution Model for Image Segmentation. J. Math. Imaging Vis., 63(1): 1-17, 2021.

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Jacques-Olivier Lachaud (2021). An Alternative Definition for Digital Convexity. Discrete Geometry and Mathematical Morphology - First International Joint Conference, DGMM 2021, Uppsala, Sweden, May 24-27, 2021, Proceedings, volume 12708 of Lecture Notes in Computer Science, pp 269–282, 2021. Springer.

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Daniel Martins Antunes, Jacques-Olivier Lachaud, Hugues Talbot (2021). A Maximum-Flow Model for Digital Elastica Shape Optimization. Discrete Geometry and Mathematical Morphology - First International Joint Conference, DGMM 2021, Uppsala, Sweden, May 24-27, 2021, Proceedings.

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Jacques-Olivier Lachaud, Pascal Romon, Boris Thibert, David Coeurjolly (2020). Interpolated corrected curvature measures for polygonal surfaces. Comput. Graph. Forum, 39(5): 41-54, 2020.

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Jacques-Olivier Lachaud, Jocelyn Meyron, Tristan Roussillon (2020). An Optimized Framework for Plane-Probing Algorithms. J. Math. Imaging Vis., 62(5): 718-736, 2020.

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Élie Bretin, Roland Denis, Jacques-Olivier Lachaud, Édouard Oudet (2019). Phase-field modelling and computing for a large number of phases. ESAIM: Mathematical Modelling and Numerical Analysis, 53(3): 805-832, 2019..

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Thomas Caissard, David Coeurjolly, Jacques-Olivier Lachaud, Tristan Roussillon (2019). Laplace--Beltrami Operator on Digital Surfaces. Journal of Mathematical Imaging and Vision, 61(3): 359-379, 2019.

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Bertrand Kerautret, Jacques-Olivier Lachaud (2019). Geometric Total Variation for Image Vectorization, Zooming and Pixel Art Depixelizing. Pattern Recognition - 5th Asian Conference, ACPR 2019, Auckland, New Zealand, November 26-29, 2019, Revised Selected Papers, Part I, volume 12046 of Lecture Notes in Computer Science, pp 391-405, 2019. Springer.

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T. Roussillon, Jacques-Olivier Lachaud (2019). Digital Plane Recognition with Fewer Probes. Discrete Geometry for Computer Imagery - International Conference, DGCI 2019, Paris, France, March 25-29, 2019, Proceedings.

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D. Antunes, Jacques-Olivier Lachaud, H. Talbot (2019). Digital Curvature Evolution Model for Image Segmentation. International Conference on Discrete Geometry for Computer Imagery (DGCI'2019), Marne-la-Vallée, France.

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Johanna Delanoy, David Coeurjolly, Jacques-Olivier Lachaud, Adrien Bousseau (2019). Combining voxel and normal predictions for multi-view 3D sketching. Computers & Graphics, 82: 65-72, 2019.

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Mouhammad Said, Jacques-Olivier Lachaud (2019). Analytical description of digital intersections: Minimal parameters and multiscale representation. Theoretical Computer Science, 784: 99-112, 2019.

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David Coeurjolly, Pierre Gueth, Jacques-Olivier Lachaud (2018). Regularization of Voxel Art. SIGGRAPH Talk 2018.

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Nicolas Bonneel, David Coeurjolly, Pierre Gueth, Jacques-Olivier Lachaud (2018). Mumford-Shah Mesh Processing using the Ambrosio-Tortorelli Functional. Computer Graphics Forum, 37(7): 75-85, 2018.

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Jacques-Olivier Lachaud, X. Provençal, T. Roussillon (2017). Two Plane-Probing Algorithms for the Computation of the Normal Vector to a Digital Plane. Journal of Mathematical Imaging and Vision, 59(1):23-39, 2017.

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Jacques-Olivier Lachaud, D. Coeurjolly, J. Levallois (2017). Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants. Modern Approaches to Discrete Curvature, Chapter - Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants, pp 293-348, volume 2184 of Lecture Notes in Mathematics, 2017.

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T. Caissard, D. Coeurjolly, Jacques-Olivier Lachaud, T. Roussillon (2017). Heat Kernel Laplace-Beltrami Operator on Digital Surfaces. Discrete Geometry for Computer Imagery: 20th IAPR International Conference, DGCI 2017, Vienna, Austria, September 19 – 21, 2017, Proceedings.

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D. Coeurjolly, P. Gueth, Jacques-Olivier Lachaud (2017). Digital Surface Regularization by Normal Vector Field Alignment. Discrete Geometry for Computer Imagery: 20th IAPR International Conference, DGCI 2017, Vienna, Austria, September 19 – 21, 2017, Proceedings.

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Jacques-Olivier Lachaud, B. Thibert (2016). Properties of Gauss Digitized Shapes and Digital Surface Integration. Journal of Mathematical Imaging and Vision, 54(2): 162-180, 2016.

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D. Coeurjolly, M. Foare, P. Gueth, Jacques-Olivier Lachaud (2016). Piecewise smooth reconstruction of normal vector field on digital data. Comput. Graph. Forum, 35(7): 157-167, 2016.

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Bertrand Kerautret, Adrien Krähenbühl, Isabelle Debled-Rennesson, Jacques-Olivier Lachaud (2016). On the Implementation of Centerline Extraction Based on Confidence Vote in Accumulation Map. International Workshop on Reproducible Research in Pattern Recognition, RRPR2016, pages 116-130, volume 10214 of Lecture Notes in Computer Science, 2016.

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M. Foare, Jacques-Olivier Lachaud, H. Talbot (2016). Numerical implementation of the Ambrosio-Tortorelli functional using discrete calculus and application to image restoration and inpainting. International Workshop on Reproducible Research in Pattern Recognition, Proc. RRPR2016, 91-103, volume 10214 of Lecture Notes in Computer Science, 2016.

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H. Perrier, J. Levallois, D. Coeurjolly, J. -P. Farrugia, J. -C. Iehl, Jacques-Olivier Lachaud (2016). Interactive Curvature Tensor Visualization on Digital Surfaces. Discrete Geometry for Computer Imagery - 19th IAPR International Conference, DGCI 2016, Nantes, France, April 18-20, 2016. Proceedings, 282–294, volume 9647 of Lecture Notes in Computer Science, 2016.

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Marion Foare, Jacques-Olivier Lachaud, Hugues Talbot (2016). Image restoration and segmentation using the Ambrosio-Tortorelli functional and discrete calculus. Pattern Recognition (ICPR), 2016 23rd International Conference on, Cancun, Mexico, 1418–1423, 2016, IEEE.

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Jacques-Olivier Lachaud (2016). Convergent Geometric Estimators with Digital Volume and Surface Integrals. Discrete Geometry for Computer Imagery - 19th IAPR International Conference, DGCI 2016, Nantes, France, April 18-20, 2016. Proceedings, pp 3-17, volume 9647 of Lecture Notes in Computer Science, 2016.

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Jacques-Olivier Lachaud, X. Provençal, T. Roussillon (2016). Computation of the Normal Vector to a Digital Plane by Sampling Significant Points. 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, pp 194-205, 2016. Springer.

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Bertrand Kerautret, Adrien Krähenbühl, Isabelle Debled-Rennesson, Jacques-Olivier Lachaud (2016). Centerline detection on partial mesh scans by confidence vote in accumulation map. Pattern Recognition (ICPR), 2016 23rd International Conference on, Proceedings, pp 1376–1381, 2016, IEEE..

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Jacques-Olivier Lachaud, X. Provençal, T. Roussillon (2016). An output-sensitive algorithm to compute the normal vector of a digital plane. Theor. Comput. Sci., 624: 73-88, 2016.

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J. Levallois, D. Coeurjolly, Jacques-Olivier Lachaud (2015). Scale-space feature extraction on digital surfaces. Computers & Graphics, 51: 177-189, 2015.

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L. Cuel, Jacques-Olivier Lachaud, Q. Mérigot, B. Thibert (2015). Robust Geometry Estimation Using the Generalized Voronoi Covariance Measure. SIAM Journal on Imaging Sciences, 8(2): 1293-1314, 2015.

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F. Grélard, F. Baldacci, A. Vialard, Jacques-Olivier Lachaud (2015). Precise Cross-Section Estimation on Tubular Organs. Proc. Computer Analysis of Images and Patterns (CAIP'2015), La Valetta, Malta, pp 277-288, volume 9257 of Lecture Notes in Computer Science, 2015.

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B. Kerautret, A. Krähenbühl, I. Debled-Rennesson, Jacques-Olivier Lachaud (2015). 3D Geometric Analysis of Tubular Objects Based on Surface Normal Accumulation. Proc. Image Analysis and Processing (ICIAP 2015), Genova, Italy, pp 319-331, volume 9279 of Lecture Notes in Computer Science, 2015.

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L. Cuel, Jacques-Olivier Lachaud, B. Thibert (2014). Voronoi-Based Geometry Estimator for 3D Digital Surfaces. Proc. Int. Conf. on Discrete Geometry for Computer Imagery (DGCI'2014), Sienna, Italy, pp 134-149, volume 8668 of Lecture Notes in Computer Science, 2014.

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J. Levallois, D. Coeurjolly, Jacques-Olivier Lachaud (2014). Parameter-Free and Multigrid Convergent Digital Curvature Estimators. Proc. Int. Conf. on Discrete Geometry for Computer Imagery (DGCI'2014), Sienna, Italy, pp 162-175, volume 8668 of Lecture Notes in Computer Science, 2014.

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D. Coeurjolly, Jacques-Olivier Lachaud, J. Levallois (2014). Multigrid convergent principal curvature estimators in digital geometry . Computer Vision and Image Understanding, 129: 27-41, 2014.

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B. Kerautret, Jacques-Olivier Lachaud (2014). Meaningful Scales Detection: an Unsupervised Noise Detection Algorithm for Digital Contours. IPOL Journal, 4: 98-115, 2014.

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D. Coeurjolly, B. Kerautret, Jacques-Olivier Lachaud (2014). Extraction of Connected Region Boundary in Multidimensional Images. IPOL Journal, 4: 30-43, 2014.

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Jacques-Olivier Lachaud (2013). Multigrid convergence of digital curvature estimators. Proceedings of the CIRM Meeting: Discrete curvature, theory and applications, Luminy, France, Nov. 18-22 2013, 3(1): 171-181, 2013.

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Jacques-Olivier Lachaud, M. Said (2013). Two efficient algorithms for computing the characteristics of a subsegment of a digital straight line . Discrete Applied Mathematics, 161(15): 2293 - 2315, 2013.

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D. Coeurjolly, Jacques-Olivier Lachaud, J. Levallois (2013). Integral based Curvature Estimators in Digital Geometry. Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI 2013), Sevilla, Spain, pp 215-227, volume 7749 of Lecture Notes in Computer Science, 2013.

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A. Vacavant, T. Roussillon, B. Kerautret, Jacques-Olivier Lachaud (2013). A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours. Computer Vision and Image Understanding, 117(4): 438–450, 2013.

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M. Postolski, M. Janaszewski, Y. Kenmochi, Jacques-Olivier Lachaud (2012). Tangent estimation along 3D digital curves. 21st International Conference on Pattern Recognition (ICPR'2012), Proceedings, Nov 11-15, Tsukuba Science city, Japan, pp 2079-2082, 2012.

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D. Coeurjolly, Jacques-Olivier Lachaud, T. Roussillon (2012). Multigrid Convergence of Discrete Geometric Estimators. Digital Geometry Algorithms, volume 2 of Lecture Notes in Computational Vision and Biomechanics, pp 395-424, 2012, Springer, Cham..

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

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B. Kerautret, Jacques-Olivier Lachaud (2012). Meaningful Scales Detection along Digital Contours for Unsupervised Local Noise Estimation. IEEE Transaction on Pattern Analysis and Machine Intelligence, 43(12): 2379-2392, 2012.

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Jacques-Olivier Lachaud (2012). Digital Shape Analysis with Maximal Segments. Applications of Discrete Geometry and Mathematical Morphology, volume 7346 of Lecture Notes in Computer Science, pp 14-27, 2012, Springer, Cham..

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T. Roussillon, Jacques-Olivier Lachaud (2011). Delaunay properties of digital straight segments. Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2011), volume 6607 of Lecture Notes in Computer Science, pp 308-319, 2011. Springer, Cham.

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M. Said, Jacques-Olivier Lachaud (2011). Computing the Characteristics of a SubSegment of a Digital Straight Line in Logarithmic Time. Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2011), volume 6607 of Lecture Notes in Computer Science, pp 320-332, 2011. Springer, Cham.

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B. Kerautret, Jacques-Olivier Lachaud, T. P. Nguyen (2011). Circular arc reconstruction of digital contours with chosen Hausdorff error. Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2011), volume 6607 of Lecture Notes in Computer Science, pp 247-259, 2011. Springer, Cham.

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Jacques-Olivier Lachaud, X. Provençal (2011). Two linear-time algorithms for computing the minimum length polygon of a digital contour. Discrete Applied Mathematics, 159(18): 2229-2250, 2011.

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E. Bretin, Jacques-Olivier Lachaud, É. Oudet (2011). Regularization of Discrete Contour by Willmore Energy. Journal of Mathematical Imaging and Vision, 40(2): 214-229, 2011.

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E. Charrier, Jacques-Olivier Lachaud (2011). Maximal Planes and Multiscale Tangential Cover of 3D Digital Objects. Proc. Int. Workshop Combinatorial Image Analysis (IWCIA2011), volume 6636 of Lecture Notes in Computer Science, pp 132-143, Springer.

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G. Damiand, A. Dupas, Jacques-Olivier Lachaud (2011). Fully deformable 3D digital partition model with topological control. Pattern Recognition Letters, 32(9): 1374-1383, 2011.

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Jacques-Olivier Lachaud, X. Provençal (2011). Dynamic Minimum Length Polygon. Proc. Int. Workshop Combinatorial Image Analysis (IWCIA2011), volume 6636 of Lecture Notes in Computer Science, pp 208-221, 2011. Springer.

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G. Damiand, A. Dupas, Jacques-Olivier Lachaud (2011). Combining Topological Maps, Multi-Label Simple Points, and Minimum-Length Polygons for Efficient Digital Partition Model. Proc. Int. Workshop Combinatorial Image Analysis (IWCIA2011), volume 6636 of Lecture Notes in Computer Science, pp 55-69, 2011. Springer.

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T Roussillon, Jacques-Olivier Lachaud (2011). Accurate Curvature Estimation along Digital Contours with Maximal Digital Circular Arcs. Proc. Int. Workshop Combinatorial Image Analysis (IWCIA2011), volume 6636 of Lecture Notes in Computer Science, pp 43-55, 2011. Springer.

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T. P. Nguyen, B. Kerautret, I. Debled-Rennesson, Jacques-Olivier Lachaud (2010). Unsupervised, Fast and Precise Recognition of Digital Arcs in Noisy Images. Proc. International Conference Computer Vision and Graphics (ICCVG2010), volume 6374 of Lecture Notes in Computer Science (part I), 59-68, 2010. Springer.

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M. Said, Jacques-Olivier Lachaud, F. Feschet (2010). Multiscale Analysis of Digital Segments by Intersection of 2D Digital Lines. Proc. 20th International Conference on Pattern Recognition (ICPR2010), pp 4097-4100, 2010. IEEE.

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Jacques-Olivier Lachaud (2010). Digital shape analysis with maximal segments. Proc. Workshop Advances in Digital Geometry and Mathematical Morphology (WADGMM-ICPR2010), satellite workshop of ICPR2010, Istanbul, Turkey.

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F. de Vieilleville, Jacques-Olivier Lachaud (2009). Comparison and improvement of tangent estimators on digital curves. Pattern Recognition, 42(8): 1693-1707, 2009.

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X. Provençal, Jacques-Olivier Lachaud (2009). Two linear-time algorithms for computing the minimum length polygon of a digital contour. Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2009), Montréal, Québec, volume 5810 of Lecture Notes in Computer Science, pp 104-117, 2009. Springer.

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F. de Vieilleville, Jacques-Olivier Lachaud, P. Herlin, O. Lezoray, B. Plancoulaine (2009). Top-Down Segmentation of Histological Images Using a Digital Deformable Model. Advances in Visual Computing, volume 5875 of Lecture Notes in Computer Science, pp 327-336, 2009, Springer.

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M. Said, Jacques-Olivier Lachaud, F. Feschet (2009). Multiscale Discrete Geometry. Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2009), Montréal, Québec, volume 5810 of Lecture Notes in Computer Science, 118-131, 2009. Springer.

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B. Kerautret, Jacques-Olivier Lachaud (2009). Multiscale Analysis of Discrete Contours for Unsupervised Noise Detection. Proc. International Workshop on Combinatorial Image Analysis (IWCIA2009), volume 5852 of Lecture Notes in Computer Science, pp 187-200, 2009. Springer.

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A. Dupas, G. Damiand, Jacques-Olivier Lachaud (2009). Multi-Label Simple Points Definition for 3D Images Digital Deformable Model. Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2009), Montréal, Québec, volume 5810 of Lecture Notes in Computer Science, pp 156-167, 2009. Springer.

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S. Brlek, Jacques-Olivier Lachaud, X. Provençal, C. Reutenauer (2009). Lyndon + Christoffel = digitally convex. Pattern Recognition, 42(10): 2239-2246, 2009.

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F. de Vieilleville, Jacques-Olivier Lachaud (2009). Digital Deformable Model Simulating Active Contours. Proc. International Conference on Discrete Geometry for Computer Imagery (DGCI2009), Montréal, Québec, volume 5810 of Lecture Notes in Computer Science, pp 203-216, 2009. Springer.

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B. Kerautret, Jacques-Olivier Lachaud (2009). Curvature estimation along noisy digital contours by approximate global optimization . Pattern Recognition, 42(10): 2265-2278, 2009.

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H. G. Nguyen, B. Kerautret, P. Desbarats, Jacques-Olivier Lachaud (2008). Discrete Contour Extraction from Reference Curvature Function. Proc. 4th Int. Symp. Advances in Visual Computing (ISVC 2008), Las Vegas, Nevada, volume 5359 of Lecture Notes in Computer Science, pp 1176-1185, 2008. Springer.

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B. Kerautret, Jacques-Olivier Lachaud, B. Naegel (2008). Comparison of Discrete Curvature Estimators and Application to Corner Detection. Proc. 4th Int. Symp. Advances in Visual Computing (ISVC 2008), Las Vegas, Nevada, volume 5359 of Lecture Notes in Computer Science, pp 710-719, 2008. Springer.

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S. Alayrangues, X. Daragon, Jacques-Olivier Lachaud, P. Lienhardt (2008). Equivalence between Closed Connected n-G-Maps without Multi-Incidence and n-Surfaces. Journal of Mathematical Imaging and Vision, 32(1): 1-22, 2008.

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B. Kerautret, Jacques-Olivier Lachaud (2008). Robust estimation of curvature along digital contours with global optimization. Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2008), Lyon, France, volume 4992 of Lecture Notes in Computer Science, pp 334-345, 2008. Springer.

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S. Brlek, Jacques-Olivier Lachaud, X. Provençal (2008). Combinatorial view of digital convexity. Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2008), Lyon, France, volume 4992 of Lecture Notes in Computer Science, pp 57-68, 2008. Springer.

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F. de Vieilleville, Jacques-Olivier Lachaud (2008). Experimental Comparison of Continuous and Discrete Tangent Estimators Along Digital Curves. Proc. Int. Workshop on Combinatorial Image Analysis (IWCIA'2008), Buffalo, NY, volume 4958 of Lecture Notes in Computer Science, pp 26-37, 2008. Springer.

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B. Kerautret, Jacques-Olivier Lachaud, B. Naegel (2008). Curvature based corner detector for discrete, noisy and multi-scale contours. International Journal of Shape Modeling, 14(2): 127-145, 2008.

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Jacques-Olivier Lachaud, A. Vialard, F. de Vieilleville (2007). Fast, Accurate and Convergent Tangent Estimation on Digital Contours. Image and Vision Computing, 25(12): 1572–1587, 2007.

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F. de Vieilleville, Jacques-Olivier Lachaud, F. Feschet (2007). Maximal digital straight segments and convergence of discrete geometric estimators. Journal of Mathematical Image and Vision, 27(2): 471–502, 2007.

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Jacques-Olivier Lachaud, S. Valette (2007). Géométrie discréte et images numériques. Géométrie discréte et images numériques, 12 - Approximation par triangulation, Hermès, 2007.

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Jacques-Olivier Lachaud, R. Malgouyres (2007). Géométrie discréte et images numériques. Géométrie discréte et images numériques, 3 - Topologie, courbes et surfaces discrètes, Hermès, 2007.

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Jacques-Olivier Lachaud, F. de Vieilleville (2006). Convex shapes and convergence speed of discrete tangent estimators. Proc. Int. Symposium on Visual Computing (ISVC'2006), Lake Tahoe, Nevada, volume 4292 of Lecture Notes in Computer Science, pp 688-697, 2006. Springer.

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M. Braure de Calignon, L. Brun, Jacques-Olivier Lachaud (2006). Combinatorial pyramids and discrete geometry for energy-minimizing segmentation. Proc. Int. Symposium on Visual Computing (ISVC'2006), Lake Tahoe, Nevada volume 4292 of Lecture Notes in Computer Science, pp 306-315, 2006. Springer.

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F. de Vieilleville, Jacques-Olivier Lachaud (2006). Revisiting Digital Straight Segment Recognition. Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2006), Szeged, Hungary, volume 4245 of Lecture Notes in Computer Science, pp 355-366, 2006. Springer.

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S. Peltier, S. Alayrangues, L. Fuchs, Jacques-Olivier Lachaud (2006). Computation of homology groups and generators. Computers & Graphics, 30(1): 62-69, 2006.

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F. de Vieilleville, Jacques-Olivier Lachaud, F. Feschet (2005). Maximal digital straight segments and convergence of discrete geometric estimators. Proc. 14th Scandinavian Conference on Image Analysis (SCIA'2005), Joensuu, Finland, volume 3540 of Lecture Notes in Computer Science, pp 988–1003, 2005. Springer.

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Jacques-Olivier Lachaud, B. Taton (2005). Deformable Model with a Complexity Independent from Image Resolution. Computer Vision and Image Understanding, 99(3): 453-475, 2005.

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S. Peltier, S. Alayrangues, L. Fuchs, Jacques-Olivier Lachaud (2005). Computation of homology groups and generators. Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2005), Poitiers, France, volume 3429 of Lecture Notes in Computer Science, pp 195–205, 2005. Springer.

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Jacques-Olivier Lachaud, A. Vialard, F. de Vieilleville (2005). Analysis and comparative evaluation of discrete tangent estimators. Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2005), Poitiers, France, volume 3429 of Lecture Notes in Computer Science, pp 240-251, 2005. Springer.

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Jacques-Olivier Lachaud, B. Taton (2004). Resolution Independent Deformable Model. Proc. 17th int. Conf. on Pattern Recognition (ICPR'2004), Cambridge, United Kingdom, 23-26 August, volume II, pp 237-240, IEEE Computer Society Press.

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S. Alayrangues, X. Daragon, Jacques-Olivier Lachaud, P. Lienhardt (2004). Equivalence between Regular n-G-maps and n-surfaces. Proc. Int. Work. Combinatorial Image Analysis (IWCIA'2004), Auckland, New Zealand, December 1-3, volume 3322 of Lecture Notes in Computer Science, pp 122–136, 2004. Springer.

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Jacques-Olivier Lachaud, A. Vialard (2003). Geometric measures on arbitrary dimensional digital surfaces. Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2003), Napoli, Italy, volume 2886 of Lecture Notes in Computer Science, pp 434-443, 2003. Springer.

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Jacques-Olivier Lachaud, B. Taton (2003). Deformable Model with Adaptive Mesh and Automated Topology Changes. Proc. 4th int. Conf. 3-D Digital Imaging and Modeling (3DIM'2003), Banff, Alberta, Canada. IEEE Computer Society Press.

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Jacques-Olivier Lachaud (2003). Coding cells of digital spaces: a framework to write generic digital topology algorithms. Electronic Notes in Discrete Mathematics, 12: 337-348, 2003. Elsevier. (Proc. Int. Work. Combinatorial Image Analysis (IWCIA'2003), Palermo, Italy).

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S. Alayrangues, Jacques-Olivier Lachaud (2002). Equivalence Between Order and Cell Complex Representations. Proc. Computer Vision Winter Workshop (CVWW), Bad Aussee, Austria.

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B. Taton, Jacques-Olivier Lachaud (2002). Deformable Model with non-Euclidean Metrics. Proc. 7th European Conference on Computer Vision (ECCV'2002), Copenhagen, Denmark, volume 2352 (part III) of Lecture Notes in Computer Science, pp 438-453, 2002. Springer.

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Jacques-Olivier Lachaud, A. Vialard (2001). Discrete deformable boundaries for the segmentation of multidimensional images. Proc. 4th Int. Workshop on Visual Form (IWVF4), Capri, Italy, volume 2059 of Lecture Notes in Computer Science, pp 542-551, 2001. Springer.

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D. Attali, Jacques-Olivier Lachaud (2001). Delaunay conforming iso-surface; skeleton extraction and noise removal. Computational Geometry: Theory and Applications, 19 (2-3): 175-189, 2001.

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Jacques-Olivier Lachaud, A. Montanvert (2000). Continuous analogs of digital boundaries: A topological approach to iso-surfaces. Graphical Models, 62(3): 129–164, 2000.

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Jacques-Olivier Lachaud, A. Montanvert (1999). Deformable Meshes with Automated Topology Changes for Coarse-to-fine 3D Surface Extraction. Medical Image Analysis, 3(2): 187-207, 1999.

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D. Attali, Jacques-Olivier Lachaud (1999). Constructing Iso-Surfaces Satisfying the Delaunay Constraint; Application to the Skeleton Computation. Proc. 10th Int. Conf. on Image Analysis and Processing (ICIAP'99), Venice, Italy, Sept. 27-29, pp 382-387, 1999. IEEE.

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Jacques-Olivier Lachaud, A. Montanvert (1998). Digital Surfaces as a Basis for Building Iso-surfaces. Proc. 5th IEEE International Conference on Image Processing (ICIP'98), Chicago, Illinois, Oct 4-7, volume 2, pp 977-981, 1998. IEEE.

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Jacques-Olivier Lachaud, A. Montanvert (1996). Volumic Segmentation using Hierarchical Representation and Triangulated Surface. Proc. 4th European Conference on Computer Vision (ECCV'96), Cambridge, UK, volume 1064 of Lecture Notes in Computer Science, pp 137-146, 1996. Springer.

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Jacques-Olivier Lachaud (1996). Topologically Defined Iso-surfaces. Proc. 6th Discrete Geometry for Computer Imagery (DGCI'96), Lyon, France, volume 1176 of Lecture Notes in Computer Science, pp 245-256, 1996. Springer.

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Jacques-Olivier Lachaud, E. Bainville (1994). A discrete adaptive model following topological modifications of volumes. Proc. 4th Discrete Geometry for Computer Imagery (DGCI'94), Grenoble, France.

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