Thispaperdevelopsawide-bandmulti-spectralspaceforcolorrepresentationwithAitkenPCAalgorithm.Thisnovelmathematicalspaceusingthebroad-bandspectramatchingmethodaimsatimprovingtheaccuracyofcolorrepresentationaswellasreducingcostsforprocessingandstoringmulti-spectralimages.Theresultsshowthatthespacecanpresentourexperimentaloriginalspectralspaces(i.e.MunsellcolormattandDIN-6164colorchips)withhighefficiency,andthatthespanningspacewiththreeeigenvectorscanpresenttheoriginalspaceatmorethan98%CSCR,andwhen5eigenvectorsareuseditcancoveralmostthewholeoriginalspaces.
