一种Otsu阈值法的推广-Otsu双阈值法

:2004203203:(1978-),,,,OtsuOtsu1,1,1,2,1(1.,100083;2.,063000):OtsuOtsu,Otsu,,Otsu,:;;;:TP391.41:A:1006-0316(2004)07-0012-03AdualthresholdmethodbasedonOtsumethodGOUZhong2kui1,ZHANGShao2jun1,LIZhong2fu1,LIQing2li2,JINJian1(11MechanicalEngineeringSchool,USTBeijing,Beijing100083,China;21TangshanCollege,Tangshan063000,China)Abstract:Otsuthresholdmethodisstillregardedasaexcellentmethodofachievingsinglethreshold1AnewdualthresholdmethodbasedonOtsumethodisproposed1Twokindsofformulaarededucedandatestresultisshown1Otsudualthresholdisappropriatefortheimageofwhichgreyhistogramischaracterizedbythreepeaks1Keywords:imagemeasuring;binarization;dualthreshold;histogramCCD,[1][2],,,,[3]1,,T,TT()T()[4]F(x,y),B(x,y),:B(x,y)=1F(x,y)T0F(x,y)T(1),(T1,T2),B(x,y)=1T1F(x,y)T20(2),,,,P-tileOtsu[5](1),(2),,OtsuOtsu,,2OtsuOtsu1979(),,212004317©1994-2011ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[6]Otsu,:[7],,,TOtsu,(T1,T2),Otsu0m,ini,N=mi=0ni(3)Pi=ni/N(4)uu=mi=0ipi(5):C0={0T1}C1={T1+1T2}C2={T2+1m}C00,u0;C11,u1C22,u2:0=T1i=0pi(6)u0=T1i=0ipi0(7)1=T2i=T1+1pi(8)u1=T2i=T1+1ipi1(9)2=mi=T2+1pi=1-0-1(10)u2=mi=T2+1ipi2=u-0u0-1u12(11),Otsug(T1,T2)=ArgMax0T1T2m0(u-u0)2+1(u1-u)2+2(u2-u)2(12)[6]Otsu,(12)g(T1,T2)=ArgMax0T1T2m0(20-2)2+1(20-2)2+2(22-2)2(13):20=10T1i=0(i-u0)2pi(14)21=11T2i=T1+1(i-u1)2pi(15)22=12mi=T2+1(i-u2)2pi(16)2=mi=0(i-u)2pi(17)T10m-1,T2T1m(12)(13)g(T1,T2),(T1,T2)Otsu:Otsu,(),Otsu(),,3,,CCD1,,(255),,(0),(3)(),,,()(),2Otsu,312004317©1994-2011ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(12)(13),4,OtsuOtsu,Otsu,,Otsu:[1],1[J]1,2001,22(3):213-218.[2],,,1[J]1,2002,24(3):284-287.[3]1[M]1:,2001.[4],,1[J]1,1994,(4):4-6.[5],1[J]1,2002,24(6):91-94.[6]1Otsu[J]1,2000,20(5):37-39.[7],,1[J]1,2003,(1):77-80.(3),,,,,,,,,,,,,,,,,,[9]:[1],,.[J].,200l,(4):44-45.[2],,,.[J].,2001,(5):328-332.[3],,[J].(),2003,(9):390-393.[4],,,.[J].,2003,(2):41-43.[5],,.[J].(),2001,(9):5-7.[6].[J].,1993(3):8-10.[7],,,.[J].,1998,29(3):252-255.[8],,.[J].,2001,(2):30-32.[9].[J].,2000,(7):7-10.412004317©1994-2011ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.