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RenderingSpacesforArchitecturalEnvironmentsJeffryS.NimeroffDepartmentofComputerandInformationScienceUniversityofPennsylvania,Philadelphia,PA19104-6389JulieDorseyDepartmentofArchitectureMassachusettsInstituteofTechnology,CambridgeMA02139EeroSimoncelliNormanI.BadlerDepartmentofComputerandInformationScienceUniversityofPennsylvania,Philadelphia,PA19104-6389November1,19951 AbstractWepresentanewframeworkforrenderingvirtualenvironments.Thisframeworkisproposedasacompletescenedescription,whichembodiesthespaceofallpossiblerenderings,underallpossiblelightingscenariosofthegivenscene.Ineffect,thishypotheticalrenderingspaceincludesallpossiblelightsourcesaspartofthegeometricmodel.Whileitwouldbeimpracticaltoimplementthegeneralframework,thisapproachdoesallowustolookattherenderingprobleminanewway.Thus,weproposenewrepresentationsthataresubspacesoftheentirerenderingspace.Someofthesesubspacesarecomputationallytractableandmaybecarefullychosentoserveaparticularapplication.Theapproachisusefulbothforrealandvi...