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cited_clean.bib
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@Book{dcoeurjo_hermes,
editor = "D. Coeurjolly and A. Montanvert and J.-M. Chassery",
title = "{G}éométrie discrète et images numériques",
publisher = "Hermès Paris",
year = "2007",
pages = "416",
series = "Traité IC2, Signal et Image",
address = "France",
month = SEP,
}
@Article{dcoeurjo_IVC_couprie,
author = "M. Couprie and D. Coeurjolly and R. Zrour",
title = "Discrete bisector function and Euclidean skeleton in
2{D} and 3{D}",
journal = "Image and Vision Computing",
year = "2007",
volume = "25",
number = "10",
pages = "1519--1698",
month = OCT,
}
@InProceedings{dcoeurjo_mdexet_ISVC,
author = "M. Dexet and D. Coeurjolly and E. Andres",
title = "Invertible Polygonalization of 3{D} Planar Digital
Curves and Application to Volume Data Reconstruction",
booktitle = "International Symposium on Visual Computing (ISVC)",
year = "2006",
volume = "4292",
series = "LNCS",
address = "Lake Tahoe, Nevada, USA",
}
@InProceedings{dcoeurjo_MCsimplDGCI06,
author = "D. Coeurjolly and F. Dupont and L. Jospin and I.
Sivignon",
title = "Optimization schemes for the reversible discrete
volume polyhedrization using Marching Cubes
simplification",
booktitle = "13th International Conference on Discrete Geometry for
Computer Imagery",
pages = "413--424",
year = "2006",
volume = "4245",
series = "LNCS",
address = "Szeged, Hungary",
publisher = "Springer-Verlag",
}
@InProceedings{dcoeurjo_NPhard,
author = "I. Sivignon and D. Coeurjolly",
title = "Minimal Decomposition of a Digital Surface into
Digital Plane Segments is {NP}-Hard",
booktitle = "13th International Conference on Discrete Geometry for
Computer Imagery",
pages = "674--685",
year = "2006",
number = "4245",
series = "LNCS",
address = "Szeged, Hungary",
publisher = "Springer-Verlag",
}
@InProceedings{dcoeurjo_avacavan_DGCI,
author = "A. Vacavant and D. Coeurjolly and L. Tougne",
title = "Topological and Geometrical Reconstruction of Complex
Objects on Irregular Isothetic Grids",
booktitle = "13th International Conference on Discrete Geometry for
Computer Imagery",
key = "470--481",
year = "2006",
volume = "4245",
series = "LNCS",
address = "Szeged, Hungary",
publisher = "Springer-Verlag",
}
@InProceedings{dcoeurjo_avacavan_ISCV,
author = "A. Vacavant and D. Coeurjolly and L. Tougne",
title = "Dynamic Reconstruction of Complex Planar Objects on
Irregular Isothetic Grids",
booktitle = "International Symposium on Visual Computing (ISVC)",
year = "2006",
number = "4292",
series = "LNCS",
address = "Nevada, USA",
}
@InBook{ingemar,
author = "I. Ragnemalm and G. Borgefors",
title = "The Euclidean Distance Transform,",
chapter = "Towards a minimal shape representation using maximal
discs",
publisher = "Link{\"{o}}ping Studies in Science and Technology.
Dissertations No. 304., Link{\"{o}}ping University",
year = "1993",
month = APR,
pages = "245--260",
}
@InProceedings{borgerfors_min_SSAB,
author = "G. Borgefors and I. Nystr{\"{o}}m",
title = "Quantitative shape analysis of volume images --
reducing the set of centres of maximal spheres",
booktitle = "Proc. SSAB Symposium on Image Analysis",
pages = "5--8",
year = "1995",
address = "Link{\"{o}}ping, Sweden",
month = MA,
}
@Article{Tamassia/87,
author = "R. Tamassia",
title = "On embedding a graph in the grid with the minimum
number of bends",
journal = "SIAM J. Comput.",
pages = "421--444",
year = "1987",
month = JUN,
number = "3",
volume = "16",
publisher = "Society for Industrial and Applied Mathematics",
institution = "Dipartimento di Inf. e Sistemistica, Roma Univ.,
Italy",
address = "Philadelphia, PA",
cdate = "1970-01-01",
mdate = "2005-08-18",
}
@TechReport{dcoeurjo_RR_AMNP,
author = "D. Coeurjolly and J. Hulin and I. Sivignon",
title = "Finding a Minimum Medial Axis of a Discrete Shape is
{NP}-hard",
institution = "Laboratoire LIRIS, UMR-CNRS 5205, Universit\'e Claude
Bernard Lyon 1",
year = "2007",
URL = "http://liris.cnrs.fr/publis/index_html?id=3158",
number = "RR-2007-026",
}
@InProceedings{lucas,
year = "2001",
title = "Multiresolution and Shape Optimization of Implicit
Skeletal Model",
author = "S. Prevost and L. Lucas and E. Bittar",
URL = "http://visinfo.zib.de/EVlib/Show?EVL-2001-86",
abstract = "Display of large volumes, progressive rendering and
selective refinements are some of the operations
supported by multiresolution technology. In this paper,
a general framework relying on the use of such
techniques applied to volume data rendering is
presented. Based on a pyramidal representation of data,
two aspects of our work are considered. First, the
decimation algorithm itself is described. The general
principle consists in gradually removing nodes of a
structural graph previously established while
respecting constraints. A second part introduces the
refinement of preliminary obtained Levels of Details
(LOD). The problem is to preserve as well as possible
the initial volume of studied objects. The goal is to
build an interactive system of visualization for the
analysis of volumetric data. The speed of treatments
associated with a good visualization should enable to
achieve a 3D survey of a natural object in a
quasi-interactive manner. The method has been
successfully applied to both synthetic and real data
(medical imaging).",
editor = "V. Skala",
keywords = "Volume data visualization, skeleton shape description,
implicit surface, multiresolution, graph
representation, shape simplification, optimization,
genetic algorithms.",
booktitle = "WSCG 2001 Conference Proceedings",
}
@Article{de_Fraysseix-Pach-Pollack/90,
author = "H. {de Fraysseix} and J. Pach and R. Pollack",
title = "How to draw a planar graph on a grid",
journal = "Combinatorica",
pages = "41--51",
year = "1990",
volume = "10",
publisher = "Akad{\'e}miai Kiad{\'o}",
address = "Budapest, North-Holland Publishing Company:
Amsterdam-New York-Oxford-Tokyo",
cdate = "1970-01-01",
mdate = "2005-08-18",
}
@Article{TCS::JansenM1995:69,
title = "The minimum broadcast time problem for several
processor networks",
author = "K. Jansen and H. M{\"u}ller",
journal = "Theoretical Computer Science",
pages = "69--85",
month = "7~" # AUG,
year = "1995",
volume = "147",
number = "1--2",
}
@InProceedings{hartong,
author = "J. Hartong",
booktitle = "La mathématique non standard",
title = "Une théorie du continu",
publisher = "Editions du CNRS, Paris",
year = "1989",
series = "Fondements des Sciences",
}
@Article{decomp3Dstina,
author = "S. Svensson and G. {Sanniti di Baja}",
title = "Using distance transforms to decompose 3{D} discrete
objects",
journal = "Image Vision \& Computing",
volume = "20",
year = "2002",
number = "8",
month = JUN,
pages = "529--540",
bibsource = "http://www.visionbib.com/bibliography/twod300.html#TT20209",
}
@Article{TCS::DobkinK1983,
title = "Fast Detection of Polyhedral Intersection",
author = "D.~P. Dobkin and D.~G. Kirkpatrick",
pages = "241--253",
journal = "Theoretical Computer Science",
year = "1983",
month = DEC,
volume = "27",
number = "3",
preliminary = "ICALP::DobkinK1982",
}
@Article{attali_incluExclu,
title = "Inclusion-Exclusion Formulas from Independent
Complexes",
author = "D. Attali and H. Edelsbrunner",
publisher = "Springer-Verlag",
year = "2007",
abstract = "Using inclusion-exclusion, we can write the indicator
function of a union of finitely many balls as an
alternating sum of indicator functions of common
intersections of balls. We exhibit abstract simplicial
complexes that correspond to minimal
inclusion-exclusion formulas. They include the dual
complex, as defined in [3], and are characterized by
the independence of their simplices and by geometric
realizations with the same underlying space as the dual
complex.",
ISSN = "1432-0444",
journal = "Discrete \& Computational Geometry",
volume = "37",
number = "1",
pages = "59--77",
doi = "10.1007/s00454-006-1274-7",
}
@InProceedings{FIORIO:2006:LIRMM-00128281:1,
title = "{D}iscrete {C}ircles: an arithmetical approach with
non-constant thickness",
author = "{C}. Fiorio and {J}.-{L}. {T}outant and {D}. {J}amet",
booktitle = "{V}ision {G}eometry {X}{I}{V},
{I}{S}\&{T}/{S}{P}{I}{E} 18th {A}nnual {S}ymposium
{E}lectronic {I}maging",
pages = "60660{C}01--60660{C}12",
month = "01",
year = "2006",
URL = "http://hal-lirmm.ccsd.cnrs.fr/lirmm-00128281/en/",
}
@InProceedings{conf/dgci/FiorioT06,
title = "Arithmetic Discrete Hyperspheres and Separatingness",
author = "C. Fiorio and J.-L. Toutant",
bibdate = "2006-11-22",
bibsource = "DBLP,
http://dblp.uni-trier.de/db/conf/dgci/dgci2006.html#FiorioT06",
booktitle = "DGCI",
booktitle = "Discrete Geometry for Computer Imagery, 13th
International Conference, {DGCI} 2006, Szeged, Hungary,
October 25-27, 2006, Proceedings",
publisher = "Springer",
year = "2006",
volume = "4245",
editor = "Attila Kuba and L{\'a}szl{\'o} G. Ny{\'u}l and
K{\'a}lm{\'a}n Pal{\'a}gyi",
ISBN = "3-540-47651-2",
pages = "425--436",
series = "Lecture Notes in Computer Science",
URL = "http://dx.doi.org/10.1007/11907350_36",
}
@Article{jamet_functionality,
abstract = "Naive discrete planes are well known to be functional
on a coordinate plane. The aim of our paper is to
extend the functionality concept to a larger family of
arithmetic discrete planes, by introducing suitable
projection directions ([alpha]1, [alpha]2, [alpha]3)
satisfying [alpha]1v1 + [alpha]2v2 + [alpha]3v3 = w.
Several applications are considered. We first study
certain local configurations, that is, the (m, n)-cubes
introduced in Ref. [J. Vittone, J.-M. Chassery,
(n,m)-cubes and Farey Nets for Naive Planes
Understanding, in: DGCI, 8th International Conference,
Lecture Notes in Computer Science, vol. 1568,
Springer-Verlag, 1999, pp. 76-87.]. We compute their
number for a given (m, n) and study their statistical
behaviour. We then apply functionality to formulate an
algorithm for generating arithmetic discrete planes,
inspired by Debled-Renesson [I. Debled-Renesson,
Reconnaissance des Droites et Plans Discrets, These de
doctorat, Universite Louis Pasteur, Strasbourg, France,
1995.]. We also prove that an arithmetic discrete plane
may be endowed with a combinatorial surface structure,
in the spirit of Ref. [Y. Kenmochi, A. Imiyam
Combinatorial topologies for discrete planes, in: DGCI,
11th International Conference, DGCI 2003, Lecture Notes
in Computer Science, vol. 2886, Springer-Verlag, 2003,
pp. 144-153.].",
author = "V. Berthé and C. Fiorio and D. Jamet and F. Philippe",
booktitle = "Discrete Geometry for Computer Imagery 2005",
citeulike-article-id = "1583039",
doi = "10.1016/j.imavis.2006.06.023",
journal = "Image and Vision Computing",
keywords = "digital hyperplane",
month = oct,
number = "10",
pages = "1671--1684",
priority = "2",
title = "On some applications of generalized functionality for
arithmetic discrete planes",
URL = "http://www.sciencedirect.com/science/article/B6V09-4M7VB14-4/2/e10d6699aa9e6a87d3ff71cb96a32793",
volume = "25",
year = "2007",
}
@Article{goldwasser95survey,
author = "M. Goldwasser",
title = "A Survey of Linear Programming in Randomized
Subexponential Time",
journal = "SIGACTN: SIGACT News (ACM Special Interest Group on
Automata and Computability Theory)",
volume = "26",
year = "1995",
URL = "citeseer.ist.psu.edu/goldwasser95survey.html",
}
@Article{ORourke:1986a,
author = "J. O'Rourke and S.~R. Kosaraju and N. Megiddo",
title = "Computing Circular Separability",
journal = "Discrete and Computational Geometry",
volume = "1",
number = "1",
pages = "105--113",
year = "1986",
ISSN = "0179-5376",
}
@InProceedings{buzer_cvxhull,
author = "L. Buzer",
title = "Computing multiple convex hulls of a simple polygonal
chain in linear time",
booktitle = "23rd European Workshop on Computational Geometry",
OPTcrossref = "",
OPTkey = "",
OPTpages = "",
year = "2007",
URL = "\url{http://ewcg07.tugraz.at/}",
OPTeditor = "",
OPTvolume = "",
OPTnumber = "",
OPTseries = "",
OPTaddress = "",
OPTmonth = "",
OPTorganization = "",
OPTpublisher = "",
OPTnote = "",
OPTannote = "",
}
@Article{IPL::Melkman1987,
title = "On-line construction of the convex hull of a simple
polyline",
author = "A.~A. Melkman",
pages = "11--12",
journal = "Information Processing Letters",
year = "1987",
month = APR,
volume = "25",
number = "1",
}
@Article{har-peled98,
title = "An output sensitive algorithm for discrete convex
hulls",
language = "en",
month = MAY,
number = "2",
pages = "125--138",
year = "1998",
URL = "http://visinfo.zib.de/EVlib/Show?EVL-1998-188",
author = "S. {Har-Peled}",
abstract = "Given a convex body C in the plane, its discrete hull
is $C^0 = ConvexHull( C {\ca}p L)$ , where $L = Z
\times Z$ is the integer lattice. We present an $O(
|C0| \log \delta(C))$-time algorithm for calculating
the discrete hull of C , where $|C^0|$ denotes the
number of vertices of $C^0$ , and $\delta(C)$ is the
diameter of $C$ . Actually, using known combinatorial
bounds, the running time of the algorithm is $O(\delta
(C)^{2/3} log \delta (C))i$ . In particular, this bound
applies when C is a disk.",
volume = "10",
copyright = "Copyright 1998, Elsevier Science, All rights
reserved.",
journal = "Computational Geometry. Theory and Applications",
}
@Article{Graham:72,
author = "R. Graham",
title = "An efficient algorithm for determining the convex hull
of a finite planar set",
journal = "Information Processing Letters",
volume = "1",
pages = "132--133",
year = "1972",
}
@Article{jarvis73,
author = "R. Jarvis",
title = "On the identification of the convex hull of a finite
set of points in the plane",
journal = "Information Processing Letters",
year = "1973",
volume = "2",
pages = "18--21",
}
@Article{journals/dcg/Chazelle93,
title = "An Optimal Convex Hull Algorithm in Any Fixed
Dimension",
author = "B. Chazelle",
journal = "Discrete \& Computational Geometry",
year = "1993",
volume = "10",
bibdate = "2002-12-09",
bibsource = "DBLP,
http://dblp.uni-trier.de/db/journals/dcg/dcg10.html#Chazelle93",
pages = "377--409",
}
@InProceedings{sphere-tree,
author = "G. Bradshaw and C. O'Sullivan",
title = "Sphere-tree construction using dynamic medial axis
approximation",
booktitle = "SCA '02: Proceedings of the 2002 ACM
SIGGRAPH/Eurographics symposium on Computer animation",
year = "2002",
ISBN = "1-58113-573-4",
pages = "33--40",
location = "San Antonio, Texas",
doi = "http://doi.acm.org/10.1145/545261.545267",
publisher = "ACM Press",
address = "New York, NY, USA",
}
@MastersThesis{jospin_transmission,
author = "L. Jospin",
title = "Transmission progressive d'images 3{D} à partir du
calcul de l'axe médian",
school = "Ecole Normale Supérieure de Lyon",
year = "2006",
type = "Rapport Master Recherche",
address = "Laboratoire LIRIS",
note = "\url{http://liris.cnrs.fr/publis?id=2983}",
URL = "http://liris.cnrs.fr/publis?id=2983",
}
@InProceedings{lossless,
author = "F. Dupont and B. Gilles and A. Baskurt",
booktitle = "PCS'O3 (Picture Coding Symposium)",
title = "Lossless and Scalable 3{D} obbject coding method based
on medial axis transformation",
year = "2003",
}
@Article{minset_log,
author = "U. Feige",
title = "A threshold of ln n for approximating set cover",
journal = "J. ACM",
volume = "45",
number = "4",
year = "1998",
ISSN = "0004-5411",
pages = "634--652",
doi = "http://doi.acm.org/10.1145/285055.285059",
publisher = "ACM Press",
address = "New York, NY, USA",
}
@Article{lieutier_MA,
abstract = "Medial axis Transform is sometimes used as an
intermediate representation in algorithms for meshing
or recognition of shapes from digitized data. This
raises the question whether the Medial Axis captures
fundamental topological invariants of the object. The
(positive) answer has been known already in the case of
smooth objects. The main result presented here is the
homotopy equivalence of any bounded open subset of with
its medial axis.",
author = "A. Lieutier",
booktitle = "Solid Modeling Theory and Applications",
citeulike-article-id = "1460869",
journal = "Computer-Aided Design",
keywords = "axis medial",
month = sep,
number = "11",
pages = "1029--1046",
priority = "2",
title = "Any open bounded subset of has the same homotopy type
as its medial axis",
URL = "http://www.sciencedirect.com/science/article/B6TYR-4BMY0HG-1/2/de886b1f20753fc8c42e28c271fdcb56",
volume = "36",
year = "2004",
}
@Article{BarBen96,
author = "R. Bar-Yehuda and E. Ben-Hanoch",
title = "A linear time algorithm for covering simple polygons
with similar rectangles",
journal = "Intern. J. of Computational Geometry and
Applications",
year = "1996",
volume = "6",
number = "1",
pages = "79--102",
}
@Book{dcg-handbook,
title = "Handbook of Discrete and Computational Geometry",
booktitle = "Handbook of Discrete and Computational Geometry",
publisher = "CRC Press",
year = "1997",
editor = "J.~E. Goodman and J. O'Rourke",
}
@InCollection{flux,
abstract = "Geometric shapes are identified with their features.
For computational purposes a concrete mathematical
definition of features is required. In this paper we
use a topological approach, namely dynamical systems,
to define features of shapes. To exploit this
definition algorithmically we assume that a point
sample of the shape is given as input from which
features of the shape have to be approximated. We
translate our definition of features to the discrete
domain while mimicking the set-up developed for the
continuous shapes. Experimental results show that our
algorithms segment shapes in two and three dimensions
into so-called features quite effectively. Further, we
develop a shape matching algorithm that takes advantage
of our robust feature segmentation step.",
author = "T. Dey and J. Giesen and S. Goswami",
citeulike-article-id = "1454362",
journal = "Algorithms and Data Structures",
keywords = "no-tag",
pages = "25--36",
priority = "2",
title = "Shape Segmentation and Matching with Flow
Discretization",
URL = "http://www.springerlink.com/content/6qwfh2adqmm60n30",
year = "2003",
}
@InProceedings{laurefab,
author = "F. Feschet and L. Tougne",
title = "Optimal Time Computation of the Tangent of a Discrete
Curve : Application to the Curvature",
booktitle = "8th International Workshop in Discrete Geometry for
Computer Imagery",
year = "1999",
pages = "31--40",
publisher = "Springer-Verlag, LNCS, 1568",
}
@PhdThesis{deVieilleville_these,
author = "F. de Vieilleville",
title = "Analyse des parties linéaires des objets discrets pour
l'extraction de caractéristiques géométriques",
school = "Université de Bordeaux 1",
year = "2007",
type = "Thèse de Doctorat",
}
@Article{Lachaud00a,
author = "J.-O. Lachaud and A. Montanvert",
title = "{C}ontinuous analogs of digital boundaries: {A}
topological approach to iso-surfaces",
journal = "Graphical Models and Image Processing",
publisher = "Academic Press",
year = "2000",
volume = "62",
pages = "129--164",
}
@PhdThesis{havran,
author = "V. Havran",
title = "Heuristic Ray Shooting Algorithms",
school = "Czech Technical University, Faculty of Electrical
Engineering, Department of Computer Science and
Engineering",
year = "2001",
URL = "http://www.cgg.cvut.cz/~havran/DISSVH/phdthesis.html",
}
@TechReport{antoine_RR,
title = "{A framework for dynamic implicit curve approximation
by an irregular discrete approach}",
author = "A. {Vacavant} and D. {Coeurjolly} and L. {Tougne}",
year = "2007",
institution = "LIRIS UMR 5205 CNRS/INSA de Lyon/Université Claude
Bernard Lyon 1/Université Lumière Lyon 2/Ecole Centrale
de Lyon",
number = "RR-LIRIS-2007-020",
language = "en",
URL = "http://liris.cnrs.fr/publis/?id=2962",
}
@PhdThesis{dexet_these,
author = "M. Dexet",
title = "Architecture d'un modeleur géométrique à base
topologique d'objets discrets et méthodes de
reconstruction en dimensions 2 et 3",
school = "Université de Poitiers",
year = "2006",
type = "Thèse de Doctorat",
}
@Article{bb20013,
author = "L. J. Latecki and C. Conrad and A. Gross",
title = "Preserving Topology by a Digitization Process",
journal = "Journal of Mathematical Imaging and Vision",
volume = "8",
year = "1998",
number = "2",
month = MAR,
pages = "131--159",
URL = "http://dx.doi.org/10.1023/A:1008273227913",
bibsource = "http://www.visionbib.com/bibliography/twod289.html#TT19121",
}
@InProceedings{Cook:1971,
author = "S.~A. Cook",
year = "1971",
title = "The complexity of theorem-proving procedures",
booktitle = "Proceedings of the 3rd Annual ACM Symposium on Theory
of Computing",
address = "New York",
pages = "151--158",
}
@Article{journals/rc/RueherS97,
title = "Concurrent Cooperating Solvers over Reals",
author = "M. Rueher and C. Solnon",
journal = "Reliable Computing",
year = "1997",
number = "3",
volume = "3",
bibdate = "2004-07-29",
bibsource = "DBLP,
http://dblp.uni-trier.de/db/journals/rc/rc3.html#RueherS97",
pages = "325--333",
URL = "http://dx.doi.org/10.1023/A:1009939327927",
}
@InProceedings{bruynooghe1994cir,
title = "{CLP(intervals) Revisited}",
author = "F. Benhamou and D. Mc Allester and P. Van Hentenryck",
booktitle = "Proceedings of the 1994 International Symposium on
Logic Programming",
pages = "124--138",
year = "1994",
publisher = "MIT Press",
}
@Article{snyder-92,
author = "J.~M. Snyder",
journal = "Computer Graphics",
month = JUL,
note = "Proceedings SIGGRAPH'92.",
number = "2",
title = "Interval Analysis For Computer Graphics",
volume = "26",
year = "1992",
tag = "I74",
}
@Book{mo:RatschekRokne:84,
author = "H. Ratschek and J. Rokne",
title = "Computer Methods for the Range of Functions",
publisher = "Ellis Horwood Ltd.",
year = "1984",
address = "Chichester",
pages = "168",
}
@Book{Moor66a,
author = "R.~E. Moore",
title = "Interval Analysis",
publisher = "Prentice-Hall",
year = "1966",
address = "Englewood Cliffs, N.J.",
referred = "[Garl85a] \# 967, 969; [Bart70a]; [Chan74a];
[Corl82a]; [Corl87a]; [Corl88a]; [Corl91a]; [Gray67a];
[Gray74a]; [Hali83a]; [Iri84a]; [Kuba72a]; [Moor79a];
[Rall80a]; [Rall81a]; [Yohe79a].",
comment = "German translation: {\sl Intervallanalyse,\/}
translated by D. Pfaffenzeller, R. Oldenburg,
M{\"u}nchen, 1968.",
keywords = "boundary value problems; wrapping effect; coordinate
transformation; Taylor coefficients.",
abstract = "Chapter ten of this book discusses the machine
generation of Taylor coefficients. Basic recursion
relations are presented.",
}
@Book{Moore79a,
author = "R.~E. Moore",
year = "1979",
title = "Methods and Applications of Interval Arithmetic",
series = "Studies in Applied Mathematics",
publisher = "SIAM",
address = "Philadelphia",
}
@PhdThesis{pion,
author = "S. Pion",
title = "De la géométrie algorithmique au calcul géométrique",
school = "Université Nice Sophia-Antipolis",
year = "1999",
type = "Thése de doctorat",
OPTkey = "",
OPTtype = "",
OPTaddress = "",
OPTmonth = "",
OPTnote = "",
OPTannote = "",
}
@Article{bb33412,
author = "D. Cohen Or and A. Kaufman",
title = "Fundamentals of Surface Voxelization",
journal = "Graphical Models and Image Processing",
volume = "57",
year = "1995",
number = "6",
month = NOV,
pages = "453--461",
bibsource = "http://www.visionbib.com/bibliography/describe478.html#TT31590",
}
@Article{journals/pami/HilaireT06,
title = "Robust and Accurate Vectorization of Line Drawings",
author = "X. Hilaire and K. Tombre",
journal = "IEEE Trans. Pattern Anal. Mach. Intell",
year = "2006",
number = "6",
volume = "28",
bibdate = "2006-08-23",
bibsource = "DBLP,
http://dblp.uni-trier.de/db/journals/pami/pami28.html#HilaireT06",
pages = "890--904",
URL = "http://doi.ieeecomputersociety.org/10.1109/TPAMI.2006.127",
}
@InProceedings{Vee02,
author = "P. Veelaert",
title = "Concurrency of Line Segments in Uncertain Geometry",
booktitle = DGCI,
pages = "289--300",
year = "2002",
editor = "A. Braquelaire and J.-O. Lachaud and A. Vialard",
volume = "2301",
address = "Bordeaux, France",
series = LNCS,
publisher = "Springer-Verlag",
}
@Article{Vee99,
author = "P. Veelaert",
title = "Geometric Constructions in the Digital Plane",
journal = "Journal of Mathematical Imaging and Vision",
year = "1999",
volume = "11",
pages = "99--118",
}
@Book{Herman98b,
author = "G. T. Herman",
title = "Geometry of digital spaces",
publisher = "Birkh{\"{a}}user, Boston",
year = "1998",
}
@Book{samet90,
author = "H. Samet",
title = "The Design and Analysis of Spatial Data Structures",
publisher = "Addison-Wesley Reading MA",
year = "1990",
}
@Article{citeulike_937376,
abstract = "We present simple output-sensitive algorithms that
construct the convex hull of a set of n points in two
or three dimensions in worst-case optimal O(n log h)
time and O(n) space, where h denotes the number of
vertices of the convex hull. 1 Introduction Given a set
P of n points in the Euclidean plane E 2 or Euclidean
space E 3 , we consider the problem of computing the
convex hull of P , conv(P ), which is defined as the
smallest convex set containing P . The convex hull
problem has...",
author = "T. M. Chan",
citeulike-article-id = "937376",
journal = "GEOMETRY: Discrete \& Computational Geometry",
keywords = "convex hull output sensitive",
priority = "2",
title = "Optimal Output-Sensitive Convex Hull Algorithms in Two
and Three Dimensions",
URL = "http://citeseer.ist.psu.edu/181154.html",
volume = "16",
year = "1996",
}
@Article{citeulike_910101,
abstract = "A survey of the development of the marching cubes
algorithm [W. Lorensen, H. Cline, Marching cubes: a
high resolution 3D surface construction algorithm.
Computer Graphics 1987; 21(4):163-9], a well-known
cell-by-cell method for extraction of isosurfaces from
scalar volumetric data sets, is presented. The paper's
primary aim is to survey the development of the
algorithm and its computational properties, extensions,
and limitations (including the attempts to resolve its
limitations). A rich body of publications related to
this aim are included. Representative applications and
spin-off work are also considered and related
techniques are briefly discussed.",
author = "T.~S. Newman and H. Yi",
citeulike-article-id = "910101",
doi = "10.1016/j.cag.2006.07.021",
journal = "Computers \& Graphics",
keywords = "marching-cubes",
month = OCT,
number = "5",
pages = "854--879",
priority = "2",
title = "A survey of the marching cubes algorithm",
URL = "http://dx.doi.org/10.1016/j.cag.2006.07.021",
volume = "30",
year = "2006",
}
@Article{megiddo_LP,
address = "New York, NY, USA",
author = "Nimrod Megiddo",
citeulike-article-id = "579334",
doi = "10.1145/2422.322418",
ISSN = "0004-5411",
journal = "J. ACM",
keywords = "computationalgeometry hyperplane lp",
month = JAN,
number = "1",
pages = "114--127",
priority = "0",
publisher = "ACM Press",
title = "Linear Programming in Linear Time When the Dimension
Is Fixed",
URL = "http://portal.acm.org/citation.cfm?id=322418",
volume = "31",
year = "1984",
}
@Article{citeulike_613266,
abstract = "Digital geometry is very different from Euclidean
geometry in many ways and the intersection of two
digital lines or planes is often used to illustrate
those differences. Nevertheless, while digital lines
and planes are widely studied in many areas, very few
works deal with the intersection of such objects. In
this paper, we investigate the geometrical and
arithmetical properties of those objects. More
precisely, we give some new results about the
connectivity, periodicity, and minimal parameters of
the intersection of two digital lines or planes.",
author = "Isabelle Sivignon and Florent Dupont and Jean-Marc
Chassery",
citeulike-article-id = "613266",
doi = "10.1016/j.gmod.2004.05.002",
journal = "Graphical Models",
keywords = "digital intersection line",
month = JUL,
number = "4",
pages = "226--244",
priority = "0",
title = "Digital Intersections: minimal carrier, connectivity,
and periodicity properties",
URL = "http://dx.doi.org/10.1016/j.gmod.2004.05.002",
volume = "66",
year = "2004",
}
@Article{citeulike_611268,
abstract = "A digital arc is called \‘straight\’ if it
is the digitization of a straight line segment. Since
the concept of digital straightness was introduced in
the mid-1970s, dozens of papers on the subject have
appeared; many characterizations of digital straight
lines have been formulated, and many algorithms for
determining whether a digital arc is straight have been
defined. This paper reviews the literature on digital
straightness and discusses its relationship to other
concepts of geometry, the theory of words, and number
theory.",
author = "R. Klette and A. Rosenfeld",
booktitle = "The 2001 International Workshop on Combinatorial Image
Analysis",
citeulike-article-id = "611268",
doi = "10.1016/j.dam.2002.12.001",
journal = "Discrete Applied Mathematics",
keywords = "dss",
month = APR,
number = "1-3",
pages = "197--230",
priority = "0",
title = "Digital straightness--a review",
URL = "http://dx.doi.org/10.1016/j.dam.2002.12.001",
volume = "139",
year = "2004",
}
@PhdThesis{debled,
author = "I. {Debled-Rennesson}",
citeulike-article-id = "605447",
keywords = "bibtex-import hyperplane interger iwcia2006 plane
programming recognition",
priority = "0",
school = "Universit{\'e} Louis Pasteur",
title = "Etude et reconnaissance des droites et plans
discrets",
year = "1995",
}
@Article{dcoeurjo_digitalarc_DAM,
author = "D. Coeurjolly and Y. Gerard and J. P.
Reveill$BGe(Band L. Tougne",
citeulike-article-id = "605388",
journal = "Discrete Applied Mathematics",
keywords = "bibtex-import perso",
number = "1-3",
pages = "31--50",
priority = "0",
title = "An elementary algorithm for digital arc segmentation",
volume = "139",
year = "2004",
}
@ARTICLE{dcoeurjo_preimage_DAM,
author = {D. Coeurjolly and I. Sivignon and F. Dupont and F.
Feschet and J. M. Chassery},
citeulike-article-id = {605375},
editor = {Elsevier Science},
journal = {Discrete Applied Mathematics},
keywords = {bibtex-import perso},
number = {1--3},
pages = {78--92},
priority = {2},
title = {On Digital plane preimage structure},
volume = {151},
year = {2005}
}
@InProceedings{dcoeurjo_spie_mc,
address = "San Jose, USA",
author = "D. Coeurjolly and Alexis Guillaume and I. Sivignon",
booktitle = "SPIE Vision Geometry XII",
citeulike-article-id = "605370",
keywords = "bibtex-import perso",
pages = "1--11",
priority = "2",
title = "Reversible discrete volume polyhedrization using
Marching Cubes simplification",
volume = "5300",
year = "2004",
}
@InProceedings{dcoeurjo_supercover_dgci,