3D MODELING BASED ON PHOTOGRAPHIC DATA.pdf

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1、NoviSadJ.Math.Vol.38,No.3,2008,65-723DMODELINGBASEDONPHOTOGRAPHICDATA1VesnaStojakovi¶c2Abstract.Photographyisa2-dimensionalmediumwhichrepresents3-dimensionalspace,asacentralprojectiononaplane.Asitispossibletorepresent3Dspacebyaphotograph,itisalsopossible,usingmathematicalmethods,toobtaindat

2、aabout3-dimensionalstructuresfromthedataregisteredonphotographs.Weusedtwomethodstoobtainspatialdatafromphotographs:restitutionofperspectiveimageandphotogrammetry.Fortherestitutionofanobjectonephotographissu±cientandthatiswhythismethodisusedformodelingofobjectswhichdonotexist.Forthephotogram

3、metryseveralphotographsofthesameobjectareneededandthismethodisusedforexistingobjects.For3Dmodelingofarchitecturalobjectswhicharenotaccessibleorpartsofwhichareruinedrestitutionandphotogrammetryareindispensablemethods.Usingcombinationofthesetwomethodswecreated3Dmodelsofdevastatedsacralobjects

4、inVojvodinarepresentingtheirremainsandtheiroriginalform.AMSMathematicsSubjectClassi¯cation(2000):00A69Keywordsandphrases:3Dmodeling,photogrammetry,photorestitution,architecturalobjects1.IntroductionThree-dimensionalobjectsandstructurescanberepresentedindi®erentwaysusing2-dimensionalmedia.In

5、ordertorepresentsuchstructureasrealisticaspossibleitisnecessarytocreateamodelwhosepropertiesareanalogoustothepropertiesofthestructure.Digital3Dmodelsarevery°exible,enablingdi®erentrepresentationsdependingontheuserneeds.A2-dimensionalmediumwhichcanbee®ectivelyusedincreating3Dmodelsisphotogra

6、ph.Ifwehaveonlyonephotographofanobject,thenweusephotorestitutiontogenerateitstruedimensions.Havingmorethanonephotographofanobjectweusephotogrammetry.Bothmethodscanbeimplementedbygeometricconstructionsorbyusingsoftware.Inthispaperwegivemethodsforcreating3Dmodelsofdevastatedarchitec-turalobje

7、ctsinwhichgeometryandappearanceoftheseobjectsarerecovered.ClassicaltechniquesofconvertingarchitecturalplansorsurveydatatoCADmodelsarelaborintensive,timeconsuming,expensive,anddonothavefacadematerialdata,whichisespeciallyimportantifthefacadeisdamaged.Meth