Transactions on Computational Science XIV: Special Issue on Voronoi Diagrams and Delaunay Triangulation PDF
Preview Transactions on Computational Science XIV: Special Issue on Voronoi Diagrams and Delaunay Triangulation
Lecture Notes in Computer Science 6970 CommencedPublicationin1973 FoundingandFormerSeriesEditors: GerhardGoos,JurisHartmanis,andJanvanLeeuwen EditorialBoard DavidHutchison LancasterUniversity,UK TakeoKanade CarnegieMellonUniversity,Pittsburgh,PA,USA JosefKittler UniversityofSurrey,Guildford,UK JonM.Kleinberg CornellUniversity,Ithaca,NY,USA FriedemannMattern ETHZurich,Switzerland JohnC.Mitchell StanfordUniversity,CA,USA MoniNaor WeizmannInstituteofScience,Rehovot,Israel OscarNierstrasz UniversityofBern,Switzerland C.PanduRangan IndianInstituteofTechnology,Madras,India BernhardSteffen TUDortmundUniversity,Germany MadhuSudan MicrosoftResearch,Cambridge,MA,USA DemetriTerzopoulos UniversityofCalifornia,LosAngeles,CA,USA DougTygar UniversityofCalifornia,Berkeley,CA,USA MosheY.Vardi RiceUniversity,Houston,TX,USA GerhardWeikum MaxPlanckInstituteforInformatics,Saarbruecken,Germany Marina L. Gavrilova C.J. Kenneth Tan Mir Abolfazl Mostafavi (Eds.) Transactions on Computational Science XIV Special Issue on Voronoi Diagrams and Delaunay Triangulation 1 3 Editors-in-Chief MarinaL.Gavrilova UniversityofCalgary,DepartmentofComputerScience 2500UniversityDriveN.W.,Calgary,AB,T2N1N4,Canada E-mail:[email protected] C.J.KennethTan ExascalaLtd. Unit9,97RickmanDrive,BirminghamB152AL,UK E-mail:[email protected] GuestEditor MirAbolfazlMostafavi UniversitéLaval CentredeRechercheenGéomatique Départementdessciencesgéomatiques Québec,QC,G1V0A6,Canada E-mail:[email protected] ISSN0302-9743(LNCS) e-ISSN1611-3349(LNCS) ISSN1866-4733(TCOMPSCIE) e-ISSN1866-4741(TCOMPSCIE) ISBN978-3-642-25248-8 e-ISBN978-3-642-25249-5 DOI10.1007/978-3-642-25249-5 SpringerHeidelbergDordrechtLondonNewYork LibraryofCongressControlNumber:2011940218 CRSubjectClassification(1998):I.3.5,F.2,G.2,E.1,I.4,I.5 ©Springer-VerlagBerlinHeidelberg2011 Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialis concerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcasting, reproductiononmicrofilmsorinanyotherway,andstorageindatabanks.Duplicationofthispublication orpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965, inistcurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliable toprosecutionundertheGermanCopyrightLaw. Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply, evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelaws andregulationsandthereforefreeforgeneraluse. Typesetting:Camera-readybyauthor,dataconversionbyScientificPublishingServices,Chennai,India Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) LNCS Transactions on Computational Science Computational science, an emerging and increasingly vital field, is now widely recognized as an integral part of scientific and technical investigations, affecting re- searchersandpractitionersinareasrangingfromaerospaceandautomotiveresearchto biochemistry, electronics, geosciences, mathematics, and physics. Computer systems researchandtheexploitationofappliedresearchnaturallycomplementeachother.The increased complexity of many challenges in computational science demands the use ofsupercomputing,parallelprocessing,sophisticatedalgorithms,andadvancedsystem softwareand architecture.Itis thereforeinvaluableto haveinputby systemsresearch expertsinappliedcomputationalscienceresearch. Transactions on Computational Science focuses on original high-quality research in the realm of computational science in parallel and distributed environments, also encompassingtheunderlyingtheoreticalfoundationsandtheapplicationsoflarge-scale computation.Thejournalofferspractitionersandresearchersthe opportunityto share computationaltechniquesandsolutionsinthisarea,toidentifynewissues,andtoshape future directions for research, and it enables industrial users to apply leading-edge, large-scale,high-performancecomputationalmethods. In additionto addressingvariousresearchand applicationissues, the journalaims topresentmaterialthatisvalidated–crucialtotheapplicationandadvancementofthe researchconductedinacademicandindustrialsettings.Inthisspirit,thejournalfocuses onpublicationsthatpresentresultsandcomputationaltechniquesthatareverifiable. Scope The scope of the journal includes, but is not limited to, the following computational methodsandapplications: • AeronauticsandAerospace • Astrophysics • Bioinformatics • ClimateandWeatherModeling • CommunicationandDataNetworks • CompilersandOperatingSystems • ComputerGraphics • ComputationalBiology • ComputationalChemistry • ComputationalFinanceandEconometrics • ComputationalFluidDynamics • ComputationalGeometry VI LNCSTransactionsonComputationalScience • ComputationalNumberTheory • ComputationalPhysics • DataStorageandInformationRetrieval • DataMiningandDataWarehousing • GridComputing • Hardware/SoftwareCo-design • High-EnergyPhysics • High-PerformanceComputing • NumericalandScientificComputing • ParallelandDistributedComputing • ReconfigurableHardware • ScientificVisualization • Supercomputing • System-on-ChipDesignandEngineering Editorial The Transactions on Computational Science journal is part of the Springer series LectureNotesinComputerScience,andisdevotedtothegamutofcomputationalsci- enceissues,fromtheoreticalaspectstoapplication-dependentstudiesandthevalidation ofemergingtechnologies. Thejournalfocusesonoriginalhigh-qualityresearchintherealmofcomputational science in parallel and distributed environments, encompassing the facilitating theo- retical foundationsand the applicationsof large-scalecomputationsand massive data processing.Practitionersandresearcherssharecomputationaltechniquesandsolutions in the area, identify new issues, and shape future directions for research, as well as enableindustrialuserstoapplythetechniquespresented. Thecurrentvolume,editedbyMirAbolfazlMostafavi,isdevotedtoVoronoiDia- gramsandDelaunayTriangulation.Itiscomprisedofextendedversionsofninepapers, carefullyselectedfromthepaperspresentedattheInternationalSymposiumonVoronoi Diagrams, Quebec City, Canada, June 28–30, 2010. It also contains a Guest Editor’s EditorialwithreflectionsonthehistoricalbackgroundoftheVoronoidiagram. WewouldliketoextendoursincereappreciationtotheSpecialIssueGuestEditor MirAbolfazlMostafaviforhisdedicationtopreparingthishigh-qualityspecialissue, toallauthorsforsubmittingtheirpapers,andtoallAssociateEditorsandrefereesfor theirvaluablework.WewouldalsoliketoexpressourgratitudetotheLNCSeditorial staffofSpringer,inparticularAlfredHofmann,UrsulaBarth,andAnnaKramer,who supportedusateverystageoftheproject. It is our hope that the fine collection of papers presented in this issue will be a valuableresourceforTransactionsonComputationalSciencereadersandwillstimulate furtherresearchintothevibrantareaofcomputationalscienceapplications. July2011 MarinaL.Gavrilova C.J.KennethTan Voronoi Diagrams and Delaunay Triangulation Guest Editor’s Preface TheVoronoidiagramisaconceptthathasbeenaroundforalongtime.In“Lemonde deM.Descartesetletraite´ delalumie`re”publishedin1644,DescartesusedVoronoi- likediagramstoshowthedispositionofmatterinthesolarsystemanditssurroundings. However,the firstpresentationofthe conceptofthe Voronoidiagramappearedinthe workofDirichlet(1850)andwasnamedaftertheRussian mathematicianGeorgyFe- doseevich Voronoi (or Voronoy), who defined and studied the general n-dimensional case in 1908. Since then, several extensions have originated from these publications. ThefirstextensiontotheVoronoidiagramwasincrystallography,whereasetofpoints was placed regularly in space and the Voronoi cells were labeled as Wirkungsberich (area of influence) (Niggli, 1927). Thiessen (1911) used Voronoi regions, which are referred to as Thiessen polygons, to compute accurate estimates of regional rainfall averages.AnotherextensionoftheVoronoidiagramwasseeninnaturalandsocialsci- ences for studying marketareas (Bogue 1949).The Voronoidiagram in geographyis usedto analyze2D pointpatterns(Boots,1974).Itwas onlyinthe early1970sthata numberofalgorithmsfortheefficientconstructionoftheVoronoidiagramweredevel- oped.Thismotivatedfurtherdevelopmentsinseveralareasusingcomputerscienceand computationalgeometry. Voronoi diagrams continue to be developed and their applications are expanding fromnaturalsciencestoengineeringandfrommedicalsciencestosocialsciences.This special issue of the journal Transactions on Computational Science is devoted to the latestadvancesinVoronoidiagramsandtheirapplicationsinsciencesandengineering. Itpresentsacollectionofthebestpapersthatwereselectedfromthepaperspresented duringthe7thInternationalSymposiumonVoronoiDiagramsandtheirapplicationsin sciences and engineering.This edition of the symposium, which was chaired by Mir AbolfazlMostafavi,ProfessorattheDepartmentofGeomaticsandtheDirectorofthe CentreforResearch inGeomaticsatLavalUniversity,wasorganizedin QuebecCity, Canada and was sponsored by the Center for Research in Geomatics (CRG), Laval UniversityandtheGEOIDEnetworksofCentresofExcellence. This special issue presents nine selected papers presented during the symposium. Thepaperswereextendedbytheauthorsandpassedthroughtworoundsofreviewing beforepublication.Severalinterestingtopicsarediscussedinthisissuewhichinclude: – DevelopmentofnewgeneralizedVoronoidiagramsandalgorithmsincludinground- tripVoronoidiagrams,maximalzonediagrams,Jensen-BregmanVoronoidiagrams, hyperbolicVoronoidiagrams,andmovingnetworkVoronoiDiagrams. – New algorithms based on Voronoi diagrams for applications in sciences and engineering, including geosensor networks deployment and optimization and homotopicobjectreconstruction – Application of Delaunay triangulation for the modeling and representation of CosmicWebandrainfalldistribution. X GuestEditor’sPreface The editor expects that readers of the Transactions on Computational Science (TCS) will benefit from the papers presented in this special issue on the latest advances in Voronoi diagrams and Delaunay triangulation and their applications in sciences and engineering. Acknowledgment TheguesteditorofthisSpecialIssueonVoronoiDiagramsandDelaunayTriangulation, Transactions on Computational Science (TCS), Vol. XIV, would like to thank all the authorsfor preparingand submitting originalcontributionsfor this special issue. The guest editor is also grateful to the Program Committee members of ISVD 2010, as wellasthereviewers,fortheirgreatcontribution.Specialthanksgotothemembersof the Steering Committee of ISVD 2010for their valuable help and supportduringthe preparationofthisspecialissue.TheEditor-in-ChiefofTCS,Dr.MarinaL.Gavrilova, alsodeservesspecialthanksforheradvice,vision,andsupport.Finally,theprofessional helpandcommitmentofthePublisherSpringerisgreatlyacknowledged. July2011 MirAbolfazlMostafavi GuestEditor LNCS Transactions on Computational Science – Editorial Board MarinaL.Gavrilova,Editor-in-chief UniversityofCalgary,Canada ChihJengKennethTan,Editor-in-chief OptimaNumerics,UK TetsuoAsano JAIST,Japan BrianA.Barsky UniversityofCaliforniaatBerkeley,USA AlexanderV.Bogdanov InstituteforHighPerformanceComputing andDataBases,Russia MartinBuecker AachenUniversity,Germany RajkumarBuyya UniversityofMelbourne,Australia HyungseongChoo SungkyunkwanUniversity,Korea DannyCrookes Queen’sUniversityBelfast,UK TamalDey OhioStateUniversity,USA IvanDimov BulgarianAcademyofSciences,Bulgaria MagdyEl-Tawil CairoUniversity,Egypt OsvaldoGervasi Universita`degliStudidiPerugia,Italy ChristopherGold UniversityofGlamorgan,UK RodolfoHaber CouncilforScientificResearch,Spain AndresIglesias UniversityofCantabria,Spain Deok-SooKim HanyangUniversity,Korea IvanaKolingerova UniversityofWestBohemia,CzechRepublic VipinKumar ArmyHighPerformanceComputingResearchCenter,USA AntonioLagana Universita`degliStudidiPerugia,Italy D.T.Lee InstituteofInformationScience,AcademiaSinica,Taiwan LaurenceLiew PlatformComputing,Singapore NikolaiMedvedev NovosibirskRussianAcademyofSciences,Russia GrahamM.Megson UniversityofReading,UK EdwardD.Moreno UEA–UniversityofAmazonasstate,Brazil YoungsongMun SoongsilUniversity,Korea DimitriPlemenos Universite´deLimoges,France ViktorK.Prasanna UniversityofSouthernCalifornia,USA MuhammadSarfraz KFUPM,SaudiArabia DaleShires ArmyResearchLab,USA MashaSosonkina AmesLaboratory,USA AlexeiSourin NanyangTechnologicalUniversity,Singapore DavidTaniar MonashUniversity,Australia AthanasiosVasilakos UniversityofWesternMacedonia,Greece CheeYap NewYorkUniversity,USA IgorZacharov SGIEurope,Switzerland ZahariZlatev NationalEnvironmentalResearchInstitute,Denmark Table of Contents RevisitingHyperbolicVoronoiDiagramsinTwoandHigherDimensions fromTheoretical,AppliedandGeneralizedViewpoints ................... 1 ToshihiroTanuma,HiroshiImai,andSonokoMoriyama MollifiedZoneDiagramsandTheirComputation ........................ 31 SergioC.deBiasi,BahmanKalantari,andIrajKalantari Alpha, Betti and the Megaparsec Universe: On the Topology of the CosmicWeb ..................................................... 60 Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J.T. Jones, Pratyush Pranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E.G.P. (Patrick) Bos, Johan Hidding, Job Feldbrugge, Eline ten Have, Matti van Engelen, Manuel Caroli, and MoniqueTeillaud SkewJensen-BregmanVoronoiDiagrams .............................. 102 FrankNielsenandRichardNock Continuous-TimeMovingNetworkVoronoiDiagram..................... 129 ChenglinFan,JunLuo,andBinhaiZhu A GIS Based Wireless Sensor Network Coverage Estimation and Optimization:AVoronoiApproach ................................... 151 Meysam Argany, Mir Abolfazl Mostafavi, Farid Karimipour, and ChristianGagne´ RainfallDistributionBasedonaDelaunayTriangulationMethod ........... 173 NicolasVelasquez,VeronicaBotero,andJaimeIgnacioVelez HomotopicObjectReconstructionUsing NaturalNeighborBarycentric Coordinates...................................................... 188 OjaswaSharmaandFranc¸oisAnton Round-Trip Voronoi Diagrams and Doubling Density in Geographic Networks........................................................ 211 MatthewT.Dickerson,MichaelT.Goodrich,ThomasD.Dickerson,and YingDaisyZhuo AuthorIndex .................................................... 239
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