Discrete Geometry for Computer Imagery: 14th IAPR International Conference, DGCI 2008, Lyon, France, April 16-18, 2008. Proceedings

566 Pages·2008·11.15 MB·English

by  Dinesh Manocha (auth.)

Lecture Notes in Computer Science 4992
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DavidHutchison
LancasterUniversity,UK
TakeoKanade
CarnegieMellonUniversity,Pittsburgh,PA,USA
JosefKittler
UniversityofSurrey,Guildford,UK
JonM.Kleinberg
CornellUniversity,Ithaca,NY,USA
AlfredKobsa
UniversityofCalifornia,Irvine,CA,USA
FriedemannMattern
ETHZurich,Switzerland
JohnC.Mitchell
StanfordUniversity,CA,USA
MoniNaor
WeizmannInstituteofScience,Rehovot,Israel
OscarNierstrasz
UniversityofBern,Switzerland
C.PanduRangan
IndianInstituteofTechnology,Madras,India
BernhardSteffen
UniversityofDortmund,Germany
MadhuSudan
MassachusettsInstituteofTechnology,MA,USA
DemetriTerzopoulos
UniversityofCalifornia,LosAngeles,CA,USA
DougTygar
UniversityofCalifornia,Berkeley,CA,USA
GerhardWeikum
Max-PlanckInstituteofComputerScience,Saarbruecken,Germany
David Coeurjolly Isabelle Sivignon
Laure Tougne Florent Dupont (Eds.)
Discrete Geometry
for Computer Imagery
14thIAPRInternationalConference,DGCI2008
Lyon, France, April 16-18, 2008
Proceedings
1 3
VolumeEditors
DavidCoeurjolly
IsabelleSivignon
FlorentDupont
UniversitéClaudeBernardLyon1
LaboratoireLIRIS,EquipeM2DisCo
Bâtiment710,43boulevarddu11novembre1918
69622Villeurbannecedex,France
E-mail:{david.coeurjolly,isabelle.sivignon,florent.dupont}@liris.cnrs.fr
LaureTougne
UniversitéLumièreLyon2
LaboratoireLIRIS,EquipeM2DisCo
5,avenuePierreMendès-France,69676Broncedex,France
E-mail:[email protected]
LibraryofCongressControlNumber:2008924376
CRSubjectClassification(1998):I.4,I.3.5,G.2,I.6.8,F.2.1
LNCSSublibrary:SL6–ImageProcessing,ComputerVision,PatternRecognition,
andGraphics
ISSN 0302-9743
ISBN-10 3-540-79125-6SpringerBerlinHeidelbergNewYork
ISBN-13 978-3-540-79125-6SpringerBerlinHeidelbergNewYork
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Preface
The14theditionoftheInternationalConferenceonDiscreteGeometryforCom-
puterImagerywasheldinLyon,France,April16–18,2008.DGCI2008attracted
many researchers from all around the world. Indeed, 76 papers were submitted,
from24 different countries (13 Europeanand 11 non European),confirming the
international status of the conference. Once reviewed, 45 papers were accepted
for publication in the present LNCS volume. In all, 23 papers were scheduled
for oral presentation in single-track sessions, and 22 papers were presented as
posters,withpreliminaryplenarysessionswithveryshortpresentationsofthese
posters. Three invited speakers gave lectures on topics ranging from connected
fieldstothetheoreticalfoundationsofdiscretegeometry:DineshManocha(Uni-
versityofNorthCarolinaatChapelHill,USA),UllrichKo¨the(UniversityofHei-
delberg, Germany) and Jean-Pierre Reveilles (University of Auvergne, France).
Building on the experience of the previous editions, this edition was the oc-
casion to remodel the paper selection process in order to improve the overall
quality of the conference. These changes were based on an update and redefi-
nition of the topics covered by the conference, in such a way that most of the
present-day works in discrete geometry naturally fit in one topic. The members
oftheProgramCommitteewerethenchosenfortheirexpertiseinthesedifferent
topics.Theysupervisedthereviewingprocessofthepapersrelatedtotheirtopic.
Hereby, we would like to thank them for the important part they have played
in the careful reviews. Furthermore, this would not have been possible without
the support and advice of the Steering Committee members who guided us in
thisrenewalprocess.Lastbutnotleast,weareindebtedtothereviewersforthe
remarkableworktheyhaveaccomplished.We arealsogratefultoalltheauthors
who answered to the call for papers of DGCI, and to the invited speakers who
kindly accepted our invitation.
DGCI2008wassupportedbytheInternationalAssociationforPatternRecog-
nition (IAPR), and is the main conference associated with the Technical Com-
mittee 18 on Discrete Geometry of the IAPR. We also would like to express
our gratefulness to the Ecole Sup´erieureChimie Physique Electronique de Lyon
(CPE)forhostingthiseventandprovidingallthenecessaryinfrastructuralsup-
port. We finally thank our sponsoring institutions for providing the financial
support essential for a successful event.
WededicatethisbooktoourlatefriendandcolleagueOscarFigueiredo,who
should have been with us in the Organizing Committee.
April 2008 David Coeurjolly
Isabelle Sivignon
Laure Tougne
Florent Dupont
Organization
DGCI 2008 was organized by the Multiresolution, Discrete and Combinatorial
Models Team (M2Disco, Laboratoire LIRIS) of the University of Lyon.
Organizing Committee
David Coeurjolly LIRIS, CNRS, France (General Co-chair)
Isabelle Sivignon LIRIS, CNRS, France (General Co-chair)
Laure Tougne LIRIS, Universit´e Lumi`ere Lyon 2, France
Florent Dupont LIRIS, Universit´e Claude Bernard Lyon 1,
France
Jean-Marie Becker EcoleSup´erieureChimiePhysiqueElectronique
de Lyon, France
Serge Miguet LIRIS, Universit´e Lumi`ere Lyon 2, France
Steering Committee
Eric Andres XLIM-SIC, Universit´e de Poitiers, France
Gunilla Borgefors Centre for Image Analysis,Uppsala University,
Sweden
Achille Braquelaire LABRI, Universit´e Bordeaux 1, France
Jean-Marc Chassery Gipsa-Lab, CNRS, Grenoble, France
Annick Montanvert Gipsa-Lab, Universit´e Pierre-Mend`esFrance,
Grenoble France
Kalman Palagyi DepartmentofImageProcessingandComputer
Graphics, University of Szeged, Hungary
Gabriella Sanniti di Baja Istituto di Cibernetica “Eduardo Caianiello”,
CNR, Italy
Stina Svensson Centre for Image Analysis,Uppsala University,
Sweden
Program Committee
Reneta Barneva Department of Computer Science, SUNY
Fredonia, USA
Gilles Bertrand Laboratoire A2SI, ESIEE Paris, France
Isabelle Debled-Rennesson LORIA, France
Atsushi Imiya InstituteofMediaandInformationTechnology,
Chiba University, Japan
VIII Organization
Pieter Jonker Department of Imaging Science and
Technology, Delft University of Technology,
The Netherlands
Walter G. Kropatsch Institute of Computer Aided Automation,
Vienna University of Technology, Austria
Jacques-Olivier Lachaud LAMA, Universit´e de Savoie, France
Remy Malgouyres LAIC, Universit´e d’Auvergne Clermont 1,
France
Ingela Nystr¨om Centre for Image Analysis,Uppsala University,
Sweden
Pierre Soille Joint Research Centre of the European
Commission, Italy
Edouard Thiel LIF, Universit´e de la M´editerran´ee
Aix-Marseille 2, France
Alain Daurat LSIIT, Universit´e Louis Pasteur Strasbourg,
France
Peter Veelaert University College Ghent, Belgium
Alexandru Telea Eindhoven University of Technology,
The Netherlands
Reviewing Committee
Sylvie Alayrangues Ulrich Eckhardt Yung Kong
Dominique Attali Fabien Feschet Ullrich Ko¨the
Joost Batenburg Christophe Fiorio Ga¨elle Largeteau-Skapin
Val´erie Berth´e C´eline Fouard Joakim Lindblad
Isabelle Bloch Sebastien Fourey Longin Jan Latecki
Valentin Brimkov Yan Gerard Robert Melter
Alfred Bruckstein Jean-Pierre Gu´edon Nicolas Normand
Luc Brun Yll Haxhimusa L´aszl´o G. Nyu´l
Sara Brunetti J´eroˆme Hulin Eric Remy
Michel Couprie Damien Jamet Ralf Reulke
Jose Crespo Zoltan Kato Christian Ronse
Guillaume Damiand Yukiko Kenmochi Mohamed Tajine
Olivier Devillers Bertrand Kerautret Hugues Talbot
Eric Domenjoud Christer Kiselman Laurent Vuillon
Sponsoring Institutions
DGCI 2008 was sponsored by the following institutions:
– The International Association for Pattern Recognition (IAPR)
– Universit´e Claude Bernard Lyon 1
– Ecole Sup´erieure Chimie Physique Electronique de Lyon (CPE)
– GdR Informatique Math´ematique
– Conseil G´en´eraldu Rhoˆne
Table of Contents
Invited Papers
Digital Geometry Processing with TopologicalGuarantees............. 1
Dinesh Manocha
What Can We Learn from Discrete Images about the Continuous
World? ......................................................... 4
Ullrich K¨othe
Weak Rational Computing for Digital Geometry (Abstract) ........... 20
Jean-Pierre Reveill`es
Models for Distance Geometry
A First Look into a Formal and Constructive Approach for Discrete
Geometry Using Nonstandard Analysis ............................. 21
Laurent Fuchs, Ga¨elle Largeteau-Skapin, Guy Wallet,
Eric Andres, and Agathe Chollet
Generation and Recognition of Digital Planes Using Multi-dimensional
Continued Fractions.............................................. 33
Thomas Fernique
About the Frequencies of Some Patterns in Digital Planes Application
to Area Estimators............................................... 45
Alain Daurat, Mohamed Tajine, and Mahdi Zouaoui
CombinatorialView of Digital Convexity............................ 57
Sreˇcko Brlek, Jacques-Olivier Lachaud, and X. Proven¸cal
Decomposition and Construction of Neighbourhood Operations Using
Linear Algebra .................................................. 69
Atsushi Imiya, Yusuke Kameda, and Naoya Ohnishi
Digitally Continuous Multivalued Functions ......................... 81
Carmen Escribano, Antonio Giraldo, and Mar´ıa Asunci´on Sastre
Continued Fractions and Digital Lines with IrrationalSlopes .......... 93
Hanna Uscka-Wehlou
X Table of Contents
Discrete and Combinational Topology
New Characterizations of Simple Points, Minimal Non-simple Sets and
P-Simple Points in 2D, 3D and 4D Discrete Spaces ................... 105
Michel Couprie and Gilles Bertrand
Cancellation of Critical Points in 2D and 3D Morse and Morse-Smale
Complexes ...................................................... 117
Lidija Cˇomi´c and Leila De Floriani
Characterizing and Detecting Toric Loops in n-Dimensional Discrete
Toric Spaces..................................................... 129
John Chaussard, Gilles Bertrand, and Michel Couprie
Insertion and Expansion Operations for n-Dimensional Generalized
Maps........................................................... 141
Mehdi Baba-ali, Guillaume Damiand, Xavier Skapin, and
David Marcheix
Discrete Complex Structure on Surfel Surfaces....................... 153
Christian Mercat
Minimal Simple Pairs in the Cubic Grid ............................ 165
Nicolas Passat, Michel Couprie, and Gilles Bertrand
DeterminingWhether aSimplicial3-ComplexCollapsesto a1-Complex
Is NP-Complete ................................................. 177
R´emy Malgouyres and Angel R. Franc´es
Geometric Transforms
Medial Axis LUT Computation for Chamfer Norms Using
H-Polytopes..................................................... 189
Nicolas Normand and Pierre E´venou
Weighted Neighbourhood Sequences in Non-Standard
Three-Dimensional Grids – Metricity and Algorithms................. 201
Robin Strand and Benedek Nagy
Euclidean Eccentricity Transform by Discrete Arc Paving ............. 213
Adrian Ion, Walter G. Kropatsch, and Eric Andres
Statistical Template Matching under Geometric Transformations....... 225
Alexander Sibiryakov
Distance Transformation on Two-Dimensional Irregular Isothetic
Grids........................................................... 238
Antoine Vacavant, David Coeurjolly, and Laure Tougne
Table of Contents XI
Self-similar Discrete Rotation Configurations and Interlaced Sturmian
Words .......................................................... 250
Bertrand Nouvel
Segmenting Simplified Surface Skeletons ............................ 262
Dennie Reniers and Alexandru Telea
Discrete Shape Representation, Recognition and
Analysis
Geometric Feature Estimators for Noisy Discrete Surfaces............. 275
L. Provot and I. Debled-Rennesson
Normals and Curvature Estimation for Digital Surfaces Based on
Convolutions .................................................... 287
S´ebastien Fourey and R´emy Malgouyres
On Minimal Moment of Inertia Polyominoes......................... 299
Sreˇcko Brlek, Gilbert Labelle, and Annie Lacasse
Gift-Wrapping Based Preimage Computation Algorithm .............. 310
Yan Gerard, Fabien Feschet, and David Coeurjolly
Digital Planar Surface Segmentation Using Local Geometric Patterns... 322
Yukiko Kenmochi, Lilian Buzer, Akihiro Sugimoto, and
Ikuko Shimizu
Robust Estimation of Curvature along Digital Contours with Global
Optimization .................................................... 334
Bertrand Kerautret and Jacques-Olivier Lachaud
An Efficient and Quasi Linear Worst-Case Time Algorithm for Digital
Plane Recognition ............................................... 346
Emilie Charrier and Lilian Buzer
Tangential Cover for Thick Digital Curves........................... 358
Alexandre Faure and Fabien Feschet
Binomial Convolutions and Derivatives Estimation from Noisy
Discretizations................................................... 370
R´emy Malgouyres, Florent Brunet, and S´ebastien Fourey
Discrete Tomography
Selection of Local Thresholds for Tomogram Segmentation by
ProjectionDistance Minimization .................................. 380
K.J. Batenburg and J. Sijbers