图像融合质量评价方法的研究

,,(,230009;,230031):,,.,,..:;;:TP391:A:037222112(2004)12A2218204ResearchonQualityMeasuresforImageFusionHULiang2mei,GAOJun,HEKe2feng(InstituteofComputerandInformation,HefeiUniversityofTechnology,Hefei,Anhui230009,China;InstituteofIntelligentMachines,ChineseAcademyofSciences,Hefei,Anhui230031,China)Abstract:Howtouniversallymeasurethequalityoffusedimageisoneofthemostimportantproblemsinimagefusion.Thispaperanalysesthemeasuresoffusedimagequalityinexistence,thenpresentsanewevaluationoffusedimage,whichcombinesobjec2tiveandsubjectivefactors.Inaddition,itconsidersthecharacteristicsofhumanvisualsystemwithoutreferenceimageandcanbeusedtochoosethebestalgorithminimagefusionapplications.Theexperimentsofdifferentkindsofimagesandimagefusionalgorithmsdemonstratethatitisapractical,effective,anduniversalmeasureofqualityoffusedimage.Keywords:imagefusion;qualitymeasureforimage;humanvisualsystem1,,,.,.,.,,.[13].,,;,,;,,[2,14].,.,,.,.,,.,,,.,,,.2,.211.,,,,.:2004210230;:2004211220:(No160375011);(No104042044);(No103021012)12A200412ACTAELECTRONICASINICAVol.32No.12ADec.2004,.,.,[8].,.212AB,R,F.[1,47,912].21211FR:RMSE=1MNMi=1Nj=1[R(i,j)-F(i,j)](1)MN,,.21212:=1MNMi=1Nj=1|R(i,j)-F(i,j)|(2)(1).21213P={p(0),p(1),,p(g),,p(L-1)},p(g)g,L,L-1G=0p(g)=1,:…g=L-1g=0gp(g),:g=L-1g=0(g-…g)2p(g)(3),,.21214,:EN=-L-1g=0p(g)log2p(g)(4)21215,:EN=|ENR-ENF|(5)ENFENR.21216:P={p(0),p(1),,p(g),,p(L-1)},Q={q(0),q(1),,q(g),,q(L-1)},:CEN(P,Q)=L-1g=0p(g)log2p(g)q(g)(6)21217:MI=Li=1Lj=1hR,F(i,j)log2hR,F(i,j)hR(i)+hF(j)(7)hR,F(i,j)RF,hR(i)hF(j),L.,:(1),,.(2).,.,,.(3),,,.,,,..3[13],,,,,.a,bM3N,…aa,2aa,abab,2a=1MN-1Mm=1Nn=1(a(m,n)-…a)2(8)ab=1MN-1Mm=1Nn=1(a(m,n)-…a)(b(m,n)-€b)(9)Q0(a,b)=4ab…a€b((…a2+€b2)(2a+2b))(10)Q0(a,b):Q0(a,b)=aba+b2…a€b…a2+€b22ab2a+2b(11),Q0(a,b)ab,01.(11)ab,,01,,01.,Q0,.,abQ0(a,b|),:Q0(a,b)=|W|-1WQ0(a,b|)(12)91212A:W,|W|W.,.,a,bf.Q(a,b,f)[3],Q(a,b,f)=aQ0(a,f)+bQ0(b,f)(13)a()=s(a|)s(a|)+s(b|)(14)b()=1-b()(15)s(a|)a,,Q(a,b,f)=|W|-1W(a()Q0(a,f|)+b()Q0(b,f|))(16)(16)abf.Q(a,b,f)ab,,c()=max{s(a|),s(b|)},:QW(a,b,f)=Wc()(a()Q0(a,f|)+b()Q0(b,f|))(17)(17),c()=C()P(WC()).,,aa,QW(a,b,f),:QE(a,b,f)=QW(a,b,f)1-+QW(a,b,f)(18)(18),,.QQwQE[-1,1],1.4QQwQE.411(1(a)(b))laplace.laplace,.QQwQE1.,Laplace,1(c)(d)(e)(f).,QwQE,Q.1LaplaceQ0.83670.85580.85420.8170Qw0.86640.93770.93680.9324QE0.68270.84240.84730.83264122(a)(b)CT.2(c)(d)(e)(f)laplace.laplace,.2LaplaceQ0.78850.65620.13580.6150Qw0.83400.82760.46510.7861QE0.67450.67900.33970.60562.,CT,,,,2(c)-(f).5,.,,,,(),.laplace0222004,,,.:[1],,.[J].,2002,23(6):651-654.[2],,.[J].,2002,16(4):276-279.[3]GemmaPiella.Newqualitymeasuresforimagefusion[A].The7thIn2ternationalConferenceonInformationFusion[C].Stockholm,Sweden,June28toJuly1,2004.542-546.[4],,,.[J].,2003,22:24-26+41.[5],.[J].,2003,25:116-120.[6],,,.top2hat[J].,2003,31(9):1415-1417.[7],,,.[J].,2003,32(5):509-512.[8],.[J].,2002,28(5):512-518.[9],,,.[J].,2002,9(4):1-7.[10],.[J].,2002,31(6):518-521+544.[11],,,.[J].(),2003,31(4):82-84.[12],,,.[J].,2002,27(3):1-4.[13]ZhouWang,BovikAC.Auniversalimagequalityindex[J].IEEESig2nalProcessingLetters,2002,9(3):81-84.[14]XydaesC,PetroviV.Objecctiveimagefusionperformancemeasure[J].ElectronicLetters,2000,36(4):308-309.:,19744,,,:.E2mail:[e-mail].,196310,,,,:.(250)[8]LuR,JinZ.DomainModeling2BasedSoftwareEngineering[M].KluwerAcademicPublishers,2001.[9]AFinkelsetin,JKramer,BNuseibeh,LFinkelstein,MGoedicke.View2points:Aframeworkforintegratingmultipleperspectivesinsystemde2velopment[J].InternationalJournalofSoftwareEngineeringandKnowledgeEngineering,1992,2(1),31-58.[10]ASilva.Requirements,Domainandspecifications:Aviewpoint2basedapproachtorequirementsengineering[A].ProceedingsofICSE02[C].Orlando,Florida,USA,May,2002.94-104.[11]SEasterbrook,MChechik.Aframeworkformultivaluedreasoningoverinconsistentviewpoints[A].InProceedingsofInternationalConferenceonSoftwareEngineering(ICSE01)[C].Toronto,Canada,May2001.411-420.[12],,,[J].,2004,27(10):1379-1387.KedianMu,ZhiJin,RuqianLu.Handlinginconsistentprioritiesofoverlappedrequirementsinmergingviewpoints[J].ChineseJournalofComputers,2004,27(10):1379-1387.[13]BNuseibeh,SEasterbrook,ARusso.Leveraginginconsistencyinsoft2waredevelopment[J].IEEEComputer,2000,33(4):24-29.[14]BNuseibeh,SEasterbrook,ARusso.Makinginconsistencyrespectableinsoftwaredevelopment[J].JournalofSystemsandSoftware,2001,58(2):171-180.[15]AFinkelstein,DGabbay,AHunter,JKramer,BNuseibeh.Inconsis2tencyhandlinginmulti2perspectivespecifications[J].TransactionsonSoftwareEngineering,1994,20(8):569-578.[16]GSpanoudakis,AZisman.Inconsistencymanagementinsoftwareengi2neering:Surveyandopenresearchissues[A].SKChang,editor.Hand2bookofSoftwareEngineeringandKnowledgeEngineering[C].WorldScientificPublishingCo.,2001.329-380.[17]AHunter,BNuseibeh.Managinginconsistentspecification[J].ACMTransactionsonSoftwareEngineeringandMethodology,1998,7(4):335-367.[18]KedianMu,ZhiJin,RuqianLu.Alogicalapproachtotestingrequire2ments[A].toappearinProceedingsofIASTEDconferenceonSE05[C].Zurich,SwitzerlandACTAPress,2005.12212A: