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@INCOLLECTION{ChapterIICurvature,
author = "Lachaud, Jacques-Olivier and Coeurjolly, David and Levallois, J{\'e}r{\'e}my",
title = "Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants",
booktitle= "Modern Approaches to Discrete Curvature",
series = "Lecture Notes in Mathematics",
publisher= "Springer International Publishing",
year = "2016 ({\`a} para{\^i}tre)",
keywords = "me"
}
@MISC {DGtal,
title = "\textsc{{D}{G}tal}: Digital Geometry tools {{and}} algorithms library",
note = "\url{http://dgtal.org}"
}
@MISC {CGal,
title = "\textsc{{C}{G}al}: Computational Geometry Algorithms Library",
note = "\url{http://cgal.org}"
}
@INPROCEEDINGS {AFIG2013,
author = "Levallois, J{\'e}r{\'e}my and Coeurjolly, David and Lachaud, Jacques-Olivier",
title = "Convergence asymptotique du tenseur de courbure en g{\'e}om{\'e}trie discr{\`e}te",
booktitle = "AFIG 2013",
year = "2013",
keywords = "me"
}
@INPROCEEDINGS {PosterSIGGRAPH2015,
author = "Levallois, J{\'e}r{\'e}my and Coeurjolly, David and Lachaud, Jacques-Olivier",
title = "Feature extraction on digital snow microstructures",
booktitle = "ACM SIGGRAPH 2015 Posters",
year = "2015",
pages = "73",
organization = "ACM",
keywords = "me"
}
@INCOLLECTION {DGCI2014,
author = "Levallois, J{\'e}r{\'e}my and Coeurjolly, David and Lachaud, Jacques-Olivier",
title = "Parameter-Free and Multigrid Convergent Digital Curvature Estimators",
booktitle = "Discrete Geometry for Computer Imagery",
publisher = "Springer International Publishing",
year = "2014",
volume = "8668",
series = "Lecture Notes in Computer Science",
pages = "162--175",
isbn = "978-3-319-09954-5",
doi = "10.1007/978-3-319-09955-2_14",
url = "http://dx.doi.org/10.1007/978-3-319-09955-2_14",
keywords = "Curvature estimation; multigrid convergence; integral invariants; digital straight segments; parameter-free estimators; me"
}
@ARTICLE {SMI2015,
author = "Levallois, J{\'e}r{\'e}my and Coeurjolly, David and Lachaud, Jacques-Olivier",
title = "Scale-space Feature Extraction on Digital Surfaces",
journal = "Computers and Graphics",
year = "2015",
pages = "12",
publisher = "Elsevier",
keywords = "feature extraction ; digital geometry ; scale-space ; curvature estimation ; multigrid convergence ; integral invariants; me"
}
@ARTICLE {CVIU2014,
author = "Coeurjolly, David and Lachaud, Jacques-Olivier and Levallois, J{\'e}r{\'e}my",
title = "Multigrid convergent principal curvature estimators in digital geometry",
journal = "Computer Vision and Image Understanding",
year = "2014",
volume = "129",
number = "0",
pages = "27--41",
issn = "1077-3142",
doi = "http://dx.doi.org/10.1016/j.cviu.2014.04.013",
url = "http://www.sciencedirect.com/science/article/pii/S1077314214001003",
keywords = "Integral invariants; me "
}
@INCOLLECTION {DGCI2013,
author = "Coeurjolly, David and Lachaud, Jacques-Olivier and Levallois, J{\'e}r{\'e}my",
title = "Integral Based Curvature Estimators in Digital Geometry",
booktitle = "Discrete Geometry for Computer Imagery",
publisher = "Springer Berlin Heidelberg",
year = "2013",
volume = "7749",
series = "Lecture Notes in Computer Science",
pages = "215--227",
isbn = "978-3-642-37066-3",
doi = "10.1007/978-3-642-37067-0_19",
url = "http://dx.doi.org/10.1007/978-3-642-37067-0_19",
keywords = "Digital geometry; curvature estimation; multigrid convergence; integral invariants; me"
}
@ARTICLE {Coeurjolly2013Implementation,
author = "Coeurjolly, David and Lachaud, Jacques-Olivier and Levallois, J{\'e}r{\'e}my",
title = "Implementation of Integral based Digital Curvature Estimators in DGtal",
journal = "Imagen-A",
year = "2013",
volume = "3",
number = "5",
pages = "27--31",
keywords = "me"
}
@ARTICLE {Gilbert1988,
author = "Gilbert, Elmer G. and Johnson, Daniel W. and Keerthi, S. Sathiya",
title = "A fast procedure for computing the distance between complex objects in three-dimensional space",
journal = "IEEE Journal of Robotics and Automation",
year = "1988",
volume = "4",
number = "2",
pages = "193--203",
publisher = "IEEE"
}
@ARTICLE {Pottmann2007,
author = "Pottmann, Helmut and Wallner, Johannes and Yang, Yong-Liang and Lai, Yu-Kun and Hu, Shi-Min",
title = "Principal curvatures from the integral invariant viewpoint ",
journal = "Computer Aided Geometric Design",
year = "2007",
volume = "24",
number = "8–9",
pages = "428--442",
issn = "0167-8396",
doi = "http://dx.doi.org/10.1016/j.cagd.2007.07.004"
}
@ARTICLE {Pottmann2009,
author = "Pottmann, Helmut and Wallner, Johannes and Huang, Qi-Xing and Yang, Yong-Liang",
title = "Integral invariants for robust geometry processing",
journal = "Computer Aided Geometric Design",
year = "2009",
volume = "26",
number = "1",
pages = "37--60",
publisher = "Elsevier"
}
@INPROCEEDINGS {Yang2006,
author = "Yang, Yong-Liang and Lai, Yu-Kun and Hu, Shi-Min and Pottmann, Helmut",
title = "Robust principal curvatures on multiple scales",
booktitle = "Symposium on Geometry Processing",
year = "2006",
pages = "223--226"
}
@MISC {Klette2000OpenProblems,
author = "Klette, Reinhard",
title = "Open Problems in Digital Geometry and Topology",
howpublished = "\url{http://www.mi.auckland.ac.nz/dgt/OpenProblems.php}",
year = "2000",
note = "[En ligne; visit{\'e} le 14 septembre 2015]"
}
@MISC {pavage1,
author = "Costentin, Alexandre",
title = "Le fameux d{\'e}sert de sel",
howpublished = "\url{https://pazteque.wordpress.com/2015/05/22/le-fameux-desert-de-sel/}",
year = "2015",
note = "[En ligne; visit{\'e} le 14 septembre 2015]"
}
@MISC {pavage2,
author = "de Comite, Francesco",
title = "Castle Tilings",
howpublished = "\url{https://flic.kr/p/fD3vky}",
year = "2015",
note = "[En ligne; visit{\'e} le 14 septembre 2015; photographie sous licence Creative Commons CC BY 2.0]"
}
@MISC {pavage4,
author = "Webster, Tony",
title = "Giant's Causeway Basalt Formation",
howpublished = "\url{https://flic.kr/p/jJRb6y}",
year = "2015",
note = "[En ligne; visit{\'e} le 14 septembre 2015; photographie sous licence Creative Commons CC BY 2.0]"
}
@MISC {WikipediaCurv,
author = "Gaba, Eric",
title = "Illustration des courbures principales",
howpublished = "\url{https://commons.wikimedia.org/}",
year = "2015",
note = "[En ligne; visit{\'e} le 14 septembre 2015; illustration sous licence Creative Commons CC BY-SA 3.0]"
}
@ARTICLE {Francon1991,
author = "Fran{\c{c}}on, Jean",
title = "Topologie de Khalimski-Kovalevsky et algorithmique graphique: Informatique graphique",
journal = "TSI. Technique et science informatiques",
year = "1995",
volume = "14",
number = "10",
pages = "1195--1219",
publisher = "Lavoisier"
}
@ARTICLE {Rosenfeld1979,
author = "Rosenfeld, Azriel",
title = "Digital topology",
journal = "American Mathematical Monthly",
year = "1979",
pages = "621--630",
publisher = "JSTOR"
}
@ARTICLE {Latecki1995,
author = "Latecki, Longin and Eckhardt, Ulrich and Rosenfeld, Azriel",
title = "Well-composed sets",
journal = "Computer Vision and Image Understanding",
year = "1995",
volume = "61",
number = "1",
pages = "70--83",
publisher = "Elsevier"
}
@INPROCEEDINGS {Herman1998,
author = "Herman, Gabor T.",
title = "Geometry of digital spaces",
booktitle = "SPIE International Symposium on Optical Science, Engineering, and Instrumentation",
year = "1998",
pages = "2--13",
organization = "International Society for Optics and Photonics"
}
@ARTICLE {Udupa1994,
author = "Udupa, Jayaram K.",
title = "Multidimensional digital boundaries",
journal = "CVGIP: Graphical Models and Image Processing",
year = "1994",
volume = "56",
number = "4",
pages = "311--323",
publisher = "Elsevier"
}
@ARTICLE {Kong1992,
author = "Kong, T. Yung and Udupa, Jayaram K.",
title = "A justification of a fast surface tracking algorithm",
journal = "CVGIP: Graphical Models and Image Processing",
year = "1992",
volume = "54",
number = "2",
pages = "162--170",
publisher = "Elsevier"
}
@ARTICLE {Kovalevsky1992,
author = "Kovalevsky, Vladimir and Fuchs, Siegfried",
title = "Theoretical and experimental analysis of the accuracy of perimeter estimates",
journal = "Robust Computer Vision",
year = "1992",
pages = "218--242",
publisher = "Wichmann, Karlsruhe"
}
@ARTICLE {Kovalesvsky1989,
author = "Kovalevsky, Vladimir",
title = "Finite topology as applied to image analysis",
journal = "Computer Vision, Graphics, and Image Processing",
year = "1989",
volume = "46",
number = "2",
pages = "141--161",
publisher = "Elsevier"
}
@ARTICLE {Sloboda1998,
author = "Sloboda, Fridrich and Zatko, Bedrich and Stoer, J.",
title = "On approximation of planar one-dimensional continua",
journal = "Advances in Digital and Computational Geometry",
year = "1998",
pages = "113--160",
publisher = "Springer, Singapore"
}
@ARTICLE {Lachaud2015,
author = "Lachaud, Jacques-Olivier and Thibert, Boris",
title = "Properties of Gauss digitized shapes and digital surface integration",
journal = "Journal of Mathematical Imaging and Vision",
year = "2015",
pages = "1--19",
publisher = "Springer"
}
@ARTICLE {Roussillon2011b,
author = "Roussillon, Tristan and Sivignon, Isabelle",
title = "Faithful polygonal representation of the convex and concave parts of a digital curve",
journal = "Pattern Recognition",
year = "2011",
volume = "44",
number = "10",
pages = "2693--2700",
publisher = "Elsevier"
}
@ARTICLE {Khalimsky1990,
author = "Khalimsky, Efim and Kopperman, Ralph and Meyer, Paul R.",
title = "Computer graphics and connected topologies on finite ordered sets",
journal = "Topology and its Applications",
year = "1990",
volume = "36",
number = "1",
pages = "1--17",
publisher = "Elsevier"
}
@ARTICLE {deVieilleville2009,
author = "De Vieilleville, Fran{\c{c}}ois and Lachaud, Jacques-Olivier",
title = "Comparison and improvement of tangent estimators on digital curves",
journal = "Pattern Recognition",
year = "2009",
volume = "42",
number = "8",
pages = "1693--1707",
publisher = "Elsevier"
}
@PHDTHESIS {Coeurjolly2002,
author = "Coeurjolly, David",
title = "Algorithmique et g{\'e}om{\'e}trie discrete pour la caract{\'e}risation des courbes et des surfaces",
school = "Universit{\'e} Lumi{\`e}re Lyon 2",
year = "2002",
month = "12"
}
@ARTICLE {Klette2000,
author = "Klette, Reinhard and {\v{Z}}uni{\'c}, Jovi{\v{s}}a",
title = "Multigrid convergence of calculated features in image analysis",
journal = "Journal of Mathematical Imaging and Vision",
year = "2000",
volume = "13",
number = "3",
pages = "173--191",
publisher = "Springer"
}
@BOOK {Taylor1717,
author = "Taylor, Brook",
title = "Methodus incrementorum directa \& inversa",
publisher = "Inny",
year = "1717"
}
@BOOK {Klette2004,
author = "Klette, Reinhard and Rosenfeld, Azriel",
title = "Digital geometry: Geometric methods for digital picture analysis",
publisher = "Elsevier",
year = "2004"
}
@BOOK {Serra1982,
author = "Serra, Jean",
title = "Image Analysis and Mathematical Morphology",
publisher = "Academic Press, Inc.",
year = "1982"
}
@PHDTHESIS {Lachaud2006HDR,
author = "Lachaud, Jacques-Olivier",
title = "Espaces non-euclidiens et analyse d'image: mod{\`e}les d{\'e}formables riemanniens et discrets, topologie et g{\'e}om{\'e}trie discr{\`e}te",
school = "Universit{\'e} Sciences et Technologies-Bordeaux I",
year = "2006"
}
@ARTICLE {Lachaud2007,
author = "Lachaud, Jacques-Olivier and Vialard, Anne and de Vieilleville, Fran{\c{c}}ois",
title = "Fast, accurate and convergent tangent estimation on digital contours",
journal = "Image and Vision Computing",
year = "2007",
volume = "25",
number = "10",
pages = "1572--1587",
publisher = "Elsevier"
}
@ARTICLE {deVieilleville2007,
author = "De Vieilleville, Fran{\c{c}}ois and Lachaud, Jacques-Olivier and Feschet, Fabien",
title = "Convex digital polygons, maximal digital straight segments and convergence of discrete geometric estimators",
journal = "Journal of Mathematical Imaging and Vision",
year = "2007",
volume = "27",
number = "2",
pages = "139--156",
publisher = "Springer"
}
@PHDTHESIS {Roussillon2009,
author = "Roussillon, Tristan",
title = "Algorithmes d'extraction de mod{\`e}les g{\'e}om{\'e}triques discrets pour la repr{\'e}sentation robuste des formes",
school = "Lyon 2",
year = "2009"
}
@INPROCEEDINGS {Lenoir1997,
author = "Lenoir, Alexandre",
title = "Fast estimation of mean curvature on the surface of a 3D discrete object",
booktitle = "Discrete Geometry for Computer Imagery",
year = "1997",
pages = "175--186",
organization = "Springer"
}
@INPROCEEDINGS {Fourey2008,
author = "Fourey, S{\'e}bastien and Malgouyres, R{\'e}my",
title = "Normals and curvature estimation for digital surfaces based on convolutions",
booktitle = "Discrete Geometry for Computer Imagery",
year = "2008",
pages = "287--298",
organization = "Springer"
}
@ARTICLE {ProvotIPOL2014,
author = "Provot, Laurent and G{\'e}rard, Yan and Feschet, Fabien",
title = "{Digital Level Layers for Digital Curve Decomposition and Vectorization}",
journal = "Image Processing On Line",
year = "2014",
volume = "4",
pages = "169--186",
doi = "10.5201/ipol.2014.67"
}
@PHDTHESIS {Reveilles1991,
author = "Reveill{\`e}s, Jean-Pierre",
title = "G{\'e}om{\'e}trie discr{\`e}te, calcul en nombres entiers et algorithmique",
year = "1991"
}
@MISC {Stoker1969,
author = "Stoker, James J.",
title = "Differential Geometry",
year = "1969",
publisher = "Wiley-Interscience, New York"
}
@ARTICLE {Coeurjolly2007Book,
author = "Coeurjolly, David and Montanvert, Annick and Chassery, Jean-Marc",
title = "G{\'e}om{\'e}trie discr{\`e}te et images num{\'e}riques",
year = "2007",
publisher = "Hermes"
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