光源显色指数的计算方法研究

:100525630(2004)0420041204X,,(,310027):(),,,,,,:;;;:O43213:AMethodforthecomputingofcolor-renderingindexTANLi,LIUYu2ling,YUFei2hong(StateKeyLaboratoryofModernOpticalInstrumentation,ZhejiangUniversity,Hangzhou310027,China)Abstract:Colortemperatureandcolorpropertiesaretwoimportantparametersforevaluatingthecolorpropertiesoflightsources.Asarule,peopleusecolor2renderingindextoscalecolor2renderingproperties.Inthispaper,wecomparedthreemethodsforcomputingcolor2renderingindex.Becauseofthehugedatasheetrequiredbynormalmethod,abundantcalculationamountinEigenvectorimprovedmethodandnotaccurateenoughcoefficientsinWaltersimprovedmethod,weproposedamoresimpleandconvenientmethodthroughintegratingthethreemethods.Keywords:colorproperties;color2renderingindex;Eigenvector;Walters1,,380nm760nm,380nm760nm,,,[1][2],,,,,,,,(),26420048OPTICALINSTRUMENTSVol.26,No.4August,2004X:2003209223:(19812),,,,,CIE(),,(5000K),D(5000K)[3],,,2211,1965CIE[4],1974[5]14,$%i,:Ri=100-416$Ei(1)1-8:Ra=188i=1Ri(2),,,,:(1),xk,yk;uk,vkTc;u=4xö(12y-2x+3)v=6yö(12y-2x+3)(3)(2)1-14,1-14xk,i,yk,i,(3)uk,i,vk,i;(3)Tc,uv,vr,cr,dr,U3r,i,V3r,i,W3r,i;(4)(4),uk,vk,ck,dk;uk,i,vk,i,ck,i,dk,i,(5)uk,i,vk,i;c=1v(4-u-10v)d=1v(11708v+0.404-1.481u)(4)uk,i=10.872+0.404crckcr,i-4drdkdr,i16.518+1.481crckcr,i-drdkdr,ivk,i=5.52016.518+1.481crckcr,i-drdkdr,i(5)(5)U3k,i,V3k,i,W3k,i:W3k,i=25(Yk,i)13-17U3k,i=13W3k,i(uk,i-ur)V3k,i=13W3k,i(vk,i-vr)(6)(6)U3r,i,V3r,i,W3r,iU3k,i,V3k,i,W3k,i$Ei:$Ei=(U3r,i-U3k,i)2+(V3r,i-V3k,i)2+(W3r,i-W3k,i)2(7)(7)(1)(2),$EiRiRa2426,,,2.2,,:14ur,vr,cr,dr14U3r,i,V3r,i,W3r,i(),,,:14;,,,$K=5nm,380nm760nm,15003400,14U3r,i,V3r,i,W3r,i,3200,,,,ur,vr,cr,drU3r,i,V3r,i,W3r,i,[2]Tc,[6],,xr,yr,ur,vr,cr,drU3r,i,V3r,i,W3r,i231(380nm760nm,$K=5nm),34002.33400,:ur,vr,cr,drU3r,i,V3r,i,W3r,i,xr,yrU3r,i,V3r,i,W3r,i,,44,CPU,,Tc,,ur,vrU3r,i,V3r,i,W3r,iTc,ur,vrU3r,i,V3r,i,W3r,i(WaltersW),:f=a+bm+cm2m=104öT(8)fur,vrU3r,i,V3r,i,W3r,i;T,Tc;a,b,c,[3],264,Tc,ur,vrU3r,i,V3r,i,W3r,i,(8)a,b,c33,:(1),,;(2),(),,U3r,i,V3r,i,W3r,i,;(3),Tc,,a,b,c344:,,3:(1),;(2),,,,2300K25000K74ur,vr,cr,drU3r,i,V3r,i,W3r,i,,;(3),,;(4)a,b,c,,,,2500K5000K5000K10000K,,CIE,,4,,,4,CIE,,,,,,5[1],,[J].,2001,16(9):3032.[2].[J].,2000,20(8):10721076.[3],.[M].:,19791[4]CIENo.13-2-1965.Methodofmeasuringandspecifyingcolorrenderingpropertiesoflightsources[S].[5]CIENo.13-2-1974(2ndEdistion).Methodofmeasuringandspecifyingcolorrenderingpropertiesoflightsources[S].[6]1[J]1,2000,(2):283214X,4X,,SoerenSchmidtX,()4426