Here is the project bibliography at T24.
- Journal articles
- B. Bogosel, D. Bucur, and I. Fragalà, “Phase field approach to optimal packing problems and related cheeger clusters,” Applied mathematics and optimization (to appear), 2018.
[Bibtex]@article{BBF17, AUTHOR = {Bogosel, B. and Bucur, D. and Fragal{\`a}, I.}, TITLE = {Phase field approach to optimal packing problems and related Cheeger clusters}, journal = {Applied Mathematics and Optimization (to appear)}, year = 2018, archivePrefix = "arXiv", }
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D. Bucur and I. Fragalà, “On the honeycomb conjecture for robin laplacian eigenvalues,” Communications in contemporary mathematics, p. 1850007.
[Bibtex]@article{bf17R, author = {Bucur, D. and Fragal{\`a}, I.}, title = {On the honeycomb conjecture for Robin Laplacian eigenvalues}, journal = {Communications in Contemporary Mathematics}, volume = {0}, number = {0}, pages = {1850007}, year = {0}, doi = {10.1142/S0219199718500074}, URL = {http://www.worldscientific.com/doi/abs/10.1142/S0219199718500074}, eprint = {http://www.worldscientific.com/doi/pdf/10.1142/S0219199718500074} }
- D. Bucur, I. Fragalà, B. Velichkov, and {G. }. Verzini, “On the honeycomb conjecture for a class of minimal convex partitions,” Transactions of the ams, (to appear) doi: https://doi.org/10.1090/tran/7326.
[Bibtex]@article{bfvv17, Author = {Bucur, D. and Fragal\`a, I. and Velichkov, B. and Verzini, {G.}}, Journal = {Transactions of the AMS, (to appear) DOI: https://doi.org/10.1090/tran/7326}, Title = {On the honeycomb conjecture for a class of minimal convex partitions}, }
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K. Pluta, T. Roussillon, D. Cœurjolly, P. Romon, Y. Kenmochi, and V. Ostromoukhov, “Characterization of bijective digitized rotations on the hexagonal grid,” Journal of mathematical imaging and vision, 2018.
[Bibtex]@Article{Pluta18Characterization, author="Pluta, Kacper and Roussillon, Tristan and C{\oe}urjolly, David and Romon, Pascal and Kenmochi, Yukiko and Ostromoukhov, Victor", title="Characterization of Bijective Digitized Rotations on the Hexagonal Grid", journal="Journal of Mathematical Imaging and Vision", year="2018", doi="10.1007/s10851-018-0785-1", url="https://doi.org/10.1007/s10851-018-0785-1", NOTE = {to appear in Journal of Mathematical Imaging and Vision} }
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L. Najman, “Extending the power watershed framework thanks to \$\Gamma\$-convergence,” Siam journal on imaging sciences, vol. 10, iss. 4, pp. 2275-2292, 2017.
[Bibtex]@article{NajmanPWGamma, author = {Laurent Najman}, title = {Extending the Power Watershed Framework Thanks to \$\Gamma\$-Convergence}, journal = {SIAM Journal on Imaging Sciences}, volume = {10}, number = {4}, pages = {2275-2292}, year = {2017}, doi = {10.1137/17M1118580}, URL = { https://doi.org/10.1137/17M1118580 }, eprint = { https://doi.org/10.1137/17M1118580 } HAL_ID="hal-01428875v2" }
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O. Merveille, B. Naegel, H. Talbot, L. Najman, and N. Passat, “2D filtering of curvilinear structures by ranking the orientation responses of path operators (RORPO),” Image Processing On Line, vol. 7, pp. 246-261, 2017.
[Bibtex]@article{MerveileIPOL2017, TITLE = {{2D filtering of curvilinear structures by ranking the orientation responses of path operators (RORPO)}}, AUTHOR = {Merveille, Odyss{\'e}e and Naegel, Beno{\^i}t and Talbot, Hugues and Najman, Laurent and Passat, Nicolas}, URL = {https://hal.archives-ouvertes.fr/hal-01599528}, JOURNAL = {{Image Processing On Line}}, PUBLISHER = {{IPOL - Image Processing on Line}}, VOLUME = {7}, PAGES = {246-261}, YEAR = {2017}, DOI = {10.5201/ipol.2017.207}, KEYWORDS = {mathematical morphology ; path operators ; filtering ; curvilinear structure ; path operator}, PDF = {https://hal.archives-ouvertes.fr/hal-01599528/file/Merveille_IPOL_2017.pdf}, HAL_ID = {hal-01599528}, HAL_VERSION = {v1}, }
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S. Danda, A. S. Challa, B. S. Daya Sagar, and L. Najman, “Exploring the Links Between Edge-Preserving Collaborative Filters via Power Watershed Framework,” , 2018.
[Bibtex]@article{danda:hal-01617799, TITLE = {{Exploring the Links Between Edge-Preserving Collaborative Filters via Power Watershed Framework}}, AUTHOR = {Danda, Sravan and Challa, Aditya S and Daya Sagar, B S and Najman, Laurent}, URL = {https://hal.archives-ouvertes.fr/hal-01617799}, NOTE = {working paper or preprint}, YEAR = {2018}, MONTH = Jan, KEYWORDS = { MST ; $\Gamma$-convergence ; Image Filtering ; Optimization ; Shortest Paths}, PDF = {https://hal.archives-ouvertes.fr/hal-01617799/file/PTF%20%281%29.pdf}, HAL_ID = {hal-01617799}, HAL_VERSION = {v4}, }
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O. Merveille, H. Talbot, L. Najman, and N. Passat, “Curvilinear structure analysis by ranking the orientation responses of path operators,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 40, iss. 2, pp. 304-317, 2018.
[Bibtex]@article{MerveillePAMI2018, TITLE = {{Curvilinear structure analysis by ranking the orientation responses of path operators}}, AUTHOR = {Merveille, Odyss{\'e}e and Talbot, Hugues and Najman, Laurent and Passat, Nicolas}, URL = {https://hal.archives-ouvertes.fr/hal-01262728}, JOURNAL = {{IEEE Transactions on Pattern Analysis and Machine Intelligence}}, PUBLISHER = {{Institute of Electrical and Electronics Engineers}}, VOLUME = {40}, NUMBER = {2}, PAGES = {304-317}, YEAR = {2018}, DOI = {10.1109/TPAMI.2017.2672972}, KEYWORDS = {path opening ; mathematical morphology ; 3D grey-level imaging ; direction estimation ; non-linear filtering ; thin structures ; curvilinear structure}, PDF = {https://hal.archives-ouvertes.fr/hal-01262728/file/RORPO_PAMI_v3.pdf}, HAL_ID = {hal-01262728}, HAL_VERSION = {v2}, }
- P. R. S. Antunes and É. Oudet, “Numerical minimization of dirichlet–laplacian eigenvalues of four-dimensional geometries,” Siam j. sci. comput., to appear, 2017.
[Bibtex]@article{antunes2016numerical, title={Numerical minimization of Dirichlet--Laplacian eigenvalues of four-dimensional geometries}, author={Antunes, P. R. S. and Oudet, {\'E}.}, journal={SIAM J. Sci. Comput., to appear}, year={2017} }
- B. Bogosel and É. Oudet, “Partitions of minimal length on manifolds,” Experimental mathematics, 2016.
[Bibtex]@article{bogosel2016partitions, title={Partitions of Minimal Length on Manifolds}, author={Bogosel, B. and Oudet, {\'E}.}, journal={Experimental Mathematics}, year={2016}, publisher={Taylor \& Francis} }
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D. Coeurjolly, M. Foare, P. Gueth, and J. -O. Lachaud, “Piecewise smooth reconstruction of normal vector field on digital data,” Comput. graph. forum, vol. 35, iss. 7, p. 157–167, 2016.
[Bibtex]@article{Coeurjolly:2016-pg, author = {D. Coeurjolly and M. Foare and P. Gueth and J.-O. Lachaud}, title = {Piecewise smooth reconstruction of normal vector field on digital data}, journal = {Comput. Graph. Forum}, volume = {35}, number = {7}, pages = {157--167}, year = {2016}, url = {http://dx.doi.org/10.1111/cgf.13013}, doi = {10.1111/cgf.13013}, timestamp = {Thu, 10 Nov 2016 09:12:45 +0100}, biburl = {http://dblp.uni-trier.de/rec/bib/journals/cgf/CoeurjollyFGL16}, bibsource = {dblp computer science bibliography, http://dblp.org}, note = {Proc. of Pacific Graphics 2016} }
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J. -O. Lachaud, X. Provençal, and T. Roussillon, “Two plane-probing algorithms for the computation of the normal vect\ or to a digital plane,” Journal of mathematical imaging and vision, vol. 59, iss. 1, pp. 23-39, 2017.
[Bibtex]@article{Lachaud:2017-jmiv, author = {J.-O. Lachaud and X. Proven{\c{c}}al and T. Roussillon}, title = {Two Plane-Probing Algorithms for the Computation of the Normal Vect\ or to a Digital Plane}, journal = {Journal of Mathematical Imaging and Vision}, year = {2017}, volume = {59}, number = {1}, pages = {23-39}, doi = {10.1007/s10851-017-0704-x} }
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J. C. Bellido, G. Buttazzo, and B. Velichkov, “Worst-case shape optimization for the dirichlet energy,” Nonlinear analysis: theory, methods & applications, vol. 153, pp. 117-129, 2017.
[Bibtex]@article{bbv17, Author = {Jos{\'e} Carlos Bellido and Giuseppe Buttazzo and Bozhidar Velichkov}, Date-Modified = {2017-03-31 12:00:03 +0000}, Doi = {http://dx.doi.org/10.1016/j.na.2016.05.014}, Issn = {0362-546X}, Journal = {Nonlinear Analysis: Theory, Methods \& Applications}, Note = {Calculus of Variations, in honor of Nicola Fusco on his 60th birthday}, Pages = {117 - 129}, Title = {Worst-case shape optimization for the Dirichlet energy}, Volume = {153}, Year = {2017}}
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D. Mazzoleni, S. Terracini, and B. Velichkov, “Regularity of the optimal sets for some spectral functionals,” Geometric and functional analysis, vol. 27, iss. 2, p. 373–426, 2017.
[Bibtex]@article{mtv17, Author = {Mazzoleni, Dario and Terracini, Susanna and Velichkov, Bozhidar}, Date-Added = {2017-03-31 11:54:39 +0000}, Date-Modified = {2017-03-31 12:06:01 +0000}, Doi = {10.1007/s00039-017-0402-2}, Issn = {1420-8970}, Journal = {Geometric and Functional Analysis}, Number = {2}, Pages = {373--426}, Title = {Regularity of the optimal sets for some spectral functionals}, Volume = {27}, Year = {2017}}
- G. D. Philippis, J. Lamboley, M. Pierre, and B. Velichkov, “Regularity of minimizers of shape optimization problems involving perimeter,” Journal de mathématiques pures et appliquées, to appear.
[Bibtex]@article{dlpb17, Author = {Guido De Philippis and Jimmy Lamboley and Michel Pierre and Bozhidar Velichkov}, Date-Added = {2017-03-31 11:56:48 +0000}, Date-Modified = {2017-03-31 11:59:16 +0000}, Journal = {Journal de Math{\'e}matiques Pures et Appliqu{\'e}es}, Title = {Regularity of Minimizers of Shape Optimization Problems involving Perimeter}, Year = {to appear }}
- A. Massaccesi, E. Oudet, and B. Velichkov, “Numerical calibration of steiner trees,” Applied mathematics & optimization, accepted.
[Bibtex]@article{mov17, Author = {Annalisa Massaccesi and Edouard Oudet and Bozhidar Velichkov}, Date-Added = {2017-03-31 12:00:20 +0000}, Date-Modified = {2017-03-31 12:11:29 +0000}, Journal = {Applied Mathematics \& Optimization }, Title = {Numerical Calibration of Steiner trees}, Year = {accepted}}
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G. De Philippis, A. R. Mészáros, F. Santambrogio, and B. Velichkov, “Bv estimates in optimal transportation and applications,” Archive for rational mechanics and analysis, vol. 219, iss. 2, p. 829–860, 2016.
[Bibtex]@article{dmsv16, Author = {De Philippis, Guido and M{\'e}sz{\'a}ros, Alp{\'a}r Rich{\'a}rd and Santambrogio, Filippo and Velichkov, Bozhidar}, Date-Added = {2017-03-31 11:53:25 +0000}, Date-Modified = {2017-03-31 12:06:27 +0000}, Doi = {10.1007/s00205-015-0909-3}, Issn = {1432-0673}, Journal = {Archive for Rational Mechanics and Analysis}, Number = {2}, Pages = {829--860}, Title = {BV Estimates in Optimal Transportation and Applications}, Volume = {219}, Year = {2016}}
- Conference papers
- T. Caissard, D. Coeurjolly, J. -O. Lachaud, and T. Roussillon, “Heat kernel laplace-beltrami operator on digital surfaces,” in Discrete geometry for computer imagery, Cham, 2017, p. 241–253.
[Bibtex]@inproceedings{10.1007/978-3-319-66272-5_20, Address = {Cham}, Author = {Caissard, Th. and Coeurjolly, D. and Lachaud, J.-O. and Roussillon, T.}, Booktitle = {Discrete Geometry for Computer Imagery}, Editor = {Kropatsch, Walter G. and Artner, Nicole M. and Janusch, Ines}, Pages = {241--253}, Publisher = {Springer International Publishing}, Title = {Heat Kernel Laplace-Beltrami Operator on Digital Surfaces}, Year = {2017} }
- P. Ngo, Y. Kenmochi, I. Debled-Rennesson, and N. Passat, “Convexity-preserving rigid motions of 2d digital objects,” in Discrete geometry for computer imagery, Cham, 2017, p. 69–81.
[Bibtex]@InProceedings{Ngo17Convexity, author="Ngo, Phuc and Kenmochi, Yukiko and Debled-Rennesson, Isabelle and Passat, Nicolas", editor="Kropatsch, Walter G. and Artner, Nicole M. and Janusch, Ines", title="Convexity-Preserving Rigid Motions of 2D Digital Objects", booktitle="Discrete Geometry for Computer Imagery", year="2017", publisher="Springer International Publishing", address="Cham", pages="69--81", isbn="978-3-319-66272-5" }
- B. Kerautret, P. Ngo, Y. Kenmochi, and A. Vacavant, “Greyscale image vectorization from geometric digital contour representations,” in Discrete geometry for computer imagery, Cham, 2017, p. 319–331.
[Bibtex]@InProceedings{Kerautret17Greyscale, author="Kerautret, Bertrand and Ngo, Phuc and Kenmochi, Yukiko and Vacavant, Antoine", editor="Kropatsch, Walter G. and Artner, Nicole M. and Janusch, Ines", title="Greyscale Image Vectorization from Geometric Digital Contour Representations", booktitle="Discrete Geometry for Computer Imagery", year="2017", publisher="Springer International Publishing", address="Cham", pages="319--331", isbn="978-3-319-66272-5" }
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A. Challa, S. Danda, B. S. Daya Sagar, and L. Najman, “An Introduction to Gamma-Convergence for Spectral Clustering,” in Discrete Geometry for Computer Imagery, Vienna, Austria, 2017, p. 185–196.
[Bibtex]@inproceedings{ChallaDGCI2017, TITLE = {{An Introduction to Gamma-Convergence for Spectral Clustering}}, AUTHOR = {Challa, Aditya and Danda, Sravan and Daya Sagar, B S and Najman, Laurent}, URL = {https://hal.archives-ouvertes.fr/hal-01427957}, BOOKTITLE = {{Discrete Geometry for Computer Imagery}}, ADDRESS = {Vienna, Austria}, ORGANIZATION = {{Kropatsch, Walter G. and Artner, Nicole M. and Janusch, Ines}}, PUBLISHER = {{Springer}}, SERIES = {Lecture Note In Computer Sciences}, VOLUME = {10502}, PAGES = {185--196}, YEAR = {2017}, MONTH = Sep, PDF = {https://hal.archives-ouvertes.fr/hal-01427957/file/GammaLimitSpectralClustering.pdf}, HAL_ID = {hal-01427957}, HAL_VERSION = {v2}, }
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S. Danda, A. Challa, B. S. Daya Sagar, and L. Najman, “Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters,” in Mathematical Morphology and Its Applications to Signal and Image Processing, Fontainebleau, France, 2017, pp. 199-210.
[Bibtex]@inproceedings{DandaISMM2017, TITLE = {{Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters}}, AUTHOR = {Danda, Sravan and Challa, Aditya and Daya Sagar, B S and Najman, Laurent}, URL = {https://hal.archives-ouvertes.fr/hal-01430538}, BOOKTITLE = {{Mathematical Morphology and Its Applications to Signal and Image Processing}}, ADDRESS = {Fontainebleau, France}, EDITOR = {Angulo, J. and Velasco-Forero, S. and Meyer, F.}, PUBLISHER = {{Springer}}, SERIES = {Lecture Note In Computer Sciences}, VOLUME = {10225}, PAGES = {199-210}, YEAR = {2017}, MONTH = May, DOI = {10.1007/978-3-319-57240-6\_16}, PDF = {https://hal.archives-ouvertes.fr/hal-01430538/file/PowerTreeFilter.pdf}, HAL_ID = {hal-01430538}, HAL_VERSION = {v3}, }
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O. Merveille, O. Miraucourt, S. Salmon, N. Passat, and H. Talbot, “Régularisation directionnelle pour la segmentation de structures curvilignes,” in GRETSI, Juan-les-Pins, France, 2017.
[Bibtex]@inproceedings{MerveilleGretsi2017, TITLE = {{R{\'e}gularisation directionnelle pour la segmentation de structures curvilignes}}, AUTHOR = {Merveille, Odyss{\'e}e and Miraucourt, Olivia and Salmon, St{\'e}phanie and Passat, Nicolas and Talbot, Hugues}, URL = {https://hal.archives-ouvertes.fr/hal-01694822}, BOOKTITLE = {{GRETSI}}, ADDRESS = {Juan-les-Pins, France}, YEAR = {2017}, PDF = {https://hal.archives-ouvertes.fr/hal-01694822/file/Merveille_GRETSI_2017.pdf}, HAL_ID = {hal-01694822}, HAL_VERSION = {v1}, }
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S. Danda, A. Challa, B. S. Daya Sagar, and L. Najman, “Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters,” in Mathematical Morphology and Its Applications to Signal and Image Processing (ISMM’2017), 2017.
[Bibtex]@inproceedings{danda:hal-01430538, TITLE = {{Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters}}, AUTHOR = {Danda, S. and Challa, A. and Daya Sagar, B. S. and Najman, L.}, URL = {https://hal.archives-ouvertes.fr/hal-01430538}, BOOKTITLE = {{Mathematical Morphology and Its Applications to Signal and Image Processing (ISMM'2017)}}, YEAR = {2017}, MONTH = May, PDF = {https://hal.archives-ouvertes.fr/hal-01430538/file/PowerTreeFilter.pdf}, SERIES = {Lecture Note In Computer Sciences}, HAL_ID = {hal-01430538}, HAL_VERSION = {v3}, }
- 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.
[Bibtex]@InProceedings{Foare:2016-icpr, author = {Foare, M. and Lachaud, J.-O. and Talbot, H.}, title = {Image restoration and segmentation using the Ambrosio-Tortorelli functional and discrete calculus}, booktitle = {Proc. 23th International Conference on Pattern Recognition (ICPR2016)}, address = {Cancun, Mexico}, year = {2016}, }
- 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.
[Bibtex]@InProceedings{Foare:2016-rrpr, author = {Foare, M. and Lachaud, J.-O. and Talbot, H.}, title = {Numerical implementation of the Ambrosio-Tortorelli functional using discrete calculus and application to image resoration and inpainting}, booktitle = {Proc. 1st Workshop on Reproducible Research in Pattern Recognition (RRPR2016)}, address = {Cancun, Mexico}, year = {2016}, }
- 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.
[Bibtex]@InProceedings{Kerautret:2016-icpr, author = {Kerautret, B. and Kr{\"a}henb{\"u}hl, A. and Debled-Rennesson, I. and Lachaud, J.-O.}, title = {Centerline Detection on Partial Mesh Scans by Confidence Vote in Accumulation Map}, booktitle = {Proc. 23th International Conference on Pattern Recognition (ICPR2016)}, address = {Cancun, Mexico}, year = {2016} }
- 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.
[Bibtex]@InProceedings{Kerautret:2016-rrpr, author = {Kerautret, B. and Kr{\"a}henb{\"u}hl, A. and Debled-Rennesson, I. and Lachaud, J.-O.}, title = {On the Implementation of Centerline Extraction based on Confidence Vote in Accumulation Map}, booktitle = {Proc. 1st Workshop on Reproducible Research in Pattern Recognition (RRPR2016)}, address = {Cancun, Mexico}, year = {2016} }
- Submitted and/or arXiv papers
- D. {Bucur} and I. {Fragala}, “Proof of the Honeycomb Asymptotics for Optimal Cheeger Clusters,” Arxiv e-prints, 2017.
[Bibtex]@ARTICLE{2017arXiv170700605B, author = {{Bucur}, D. and {Fragala}, I.}, title = "{Proof of the Honeycomb Asymptotics for Optimal Cheeger Clusters}", journal = {ArXiv e-prints}, archivePrefix = "arXiv", eprint = {1707.00605}, primaryClass = "math.MG", keywords = {Mathematics - Metric Geometry, Mathematics - Optimization and Control, Mathematics - Spectral Theory}, year = 2017, month = jun, adsurl = {http://adsabs.harvard.edu/abs/2017arXiv170700605B}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }
- M. Bonafini, G. Orlandi, and É. Oudet, “Variational approximation of functionals defined on 1-dimensional connected sets: the planar case,” Arxiv preprint arxiv:1610.03839, 2016.
[Bibtex]@article{bonafini2016variational, title={Variational approximation of functionals defined on 1-dimensional connected sets: the planar case}, author={Bonafini, M. and Orlandi, G. and Oudet, {\'E}}, journal={arXiv preprint arXiv:1610.03839}, year={2016} }