Publications

(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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(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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(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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(2023). An Envelope Operator for Full Convexity to Define Polyhedral Models in Digital Spaces. J. Math. Imaging Vis., 2023.

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(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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(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. Accepted. To appear..

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(2023). Elastica Energy Regularization via Graph Cuts. Research report, hal-04421328, 2024.

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(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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(2022). Corrected Curvature Measures. Discret. Comput. Geom., 68(2): 477–524, 2022.

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

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(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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(2021). Digital Surface Regularization With Guarantees. IEEE Trans. Vis. Comput. Graph., 27(6): 2896-2907, 2021.

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(2021). An Elastica-Driven Digital Curve Evolution Model for Image Segmentation. J. Math. Imaging Vis., 63(1): 1-17, 2021.

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(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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(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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(2020). Interpolated corrected curvature measures for polygonal surfaces. Comput. Graph. Forum, 39(5): 41-54, 2020.

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(2020). An Optimized Framework for Plane-Probing Algorithms. J. Math. Imaging Vis., 62(5): 718-736, 2020.

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(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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(2019). Laplace--Beltrami Operator on Digital Surfaces. Journal of Mathematical Imaging and Vision, 61(3): 359-379, 2019.

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(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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(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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(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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(2019). Combining voxel and normal predictions for multi-view 3D sketching. Computers & Graphics, 82: 65-72, 2019.

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

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(2018). Regularization of Voxel Art. SIGGRAPH Talk 2018.

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(2018). Mumford-Shah Mesh Processing using the Ambrosio-Tortorelli Functional. Computer Graphics Forum, 37(7): 75-85, 2018.

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(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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(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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(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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(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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(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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(2016). Piecewise smooth reconstruction of normal vector field on digital data. Comput. Graph. Forum, 35(7): 157-167, 2016.

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(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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(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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(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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(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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(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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(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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(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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(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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(2015). Scale-space feature extraction on digital surfaces. Computers & Graphics, 51: 177-189, 2015.

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(2015). Robust Geometry Estimation Using the Generalized Voronoi Covariance Measure. SIAM Journal on Imaging Sciences, 8(2): 1293-1314, 2015.

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(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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(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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(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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(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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(2014). Multigrid convergent principal curvature estimators in digital geometry . Computer Vision and Image Understanding, 129: 27-41, 2014.

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

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(2014). Extraction of Connected Region Boundary in Multidimensional Images. IPOL Journal, 4: 30-43, 2014.

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(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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(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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(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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(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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(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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(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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(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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(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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(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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(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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(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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(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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(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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(2011). Regularization of Discrete Contour by Willmore Energy. Journal of Mathematical Imaging and Vision, 40(2): 214-229, 2011.

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(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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(2011). Fully deformable 3D digital partition model with topological control. Pattern Recognition Letters, 32(9): 1374-1383, 2011.

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(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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(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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(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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(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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(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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(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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(2009). Comparison and improvement of tangent estimators on digital curves. Pattern Recognition, 42(8): 1693-1707, 2009.

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(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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(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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(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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(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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(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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(2009). Lyndon + Christoffel = digitally convex. Pattern Recognition, 42(10): 2239-2246, 2009.

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

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(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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(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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(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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(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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(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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(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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(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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(2007). Fast, Accurate and Convergent Tangent Estimation on Digital Contours. Image and Vision Computing, 25(12): 1572–1587, 2007.

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(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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(2007). Géométrie discréte et images numériques. Géométrie discréte et images numériques, 12 - Approximation par triangulation, Hermès, 2007.

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(2007). Géométrie discréte et images numériques. Géométrie discréte et images numériques, 3 - Topologie, courbes et surfaces discrètes, Hermès, 2007.

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(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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(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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(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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(2006). Computation of homology groups and generators. Computers & Graphics, 30(1): 62-69, 2006.

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

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(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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(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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(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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(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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(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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(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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(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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(2002). Equivalence Between Order and Cell Complex Representations. Proc. Computer Vision Winter Workshop (CVWW), Bad Aussee, Austria.

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

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(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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(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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(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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(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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(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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(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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