Bibliography

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",
      }
    • [DOI] 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},
      }
    • [DOI] 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}
      }
    • [DOI] 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"
      }
    • [PDF] [DOI] 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},
      }
    • [PDF] 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},
      }
    • [PDF] [DOI] 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}
      }
    • [DOI] 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}
      }
    • [DOI] 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}
      }
    • [DOI] 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}}
    • [DOI] 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}}
    • [DOI] 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"
      }
    • [PDF] 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},
      }
    • [PDF] [DOI] 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},
      }
    • [PDF] 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},
      }
    • [PDF] 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}
      }