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1、IntJComputVis(2011)91:233250DOI10.1007/s11263-010-0388-9AQuaternionFrameworkforColorImageSmoothingandSegmentation?zlemN.Subakan·BabaC.VemuriReceived:3July2009/Accepted:16September2010/Publishedonline:18November2010?SpringerScience+BusinessMedia,LLC2010AbstractInthispaper,wepresentfeature/detailpre
2、serving1IntroductionmodelsforcolorimagesmoothingandsegmentationusingtheHamiltonianquaternionframework.First,weintroduceColorconveysessentialinformationthatcanbeemployedinanovelquaternionicGabor?lter(QGF)whichcancombinemanyvisiontasksincludingbutnotlimitedtoobjectrecog-thecolorchannelsandtheorienta
3、tionsintheimageplane.nition,tracking,segmentation,registrationetc.Withsignif-Weshowthatthese?ltersareoptimallylocalizedbothintheicantadvancesincomputingpowerandmemoryoverthespatialandfrequencydomainsandprovideagoodapprox-pasttwodecades,colorimageprocessinghasattractedmuchimationtoquaternionicquadr
4、ature?lters.UsingtheQGFs,interestintherecentpast.Inthisarea,colorimagedenois-weextractthelocalorientationinformationinthecolorim-ingandsegmentationarestillelusivechallenges.Duetotheages.Second,inordertomodelthisderivedorientationin-multichannelnatureofthecolorimages,thekeyissueishowtocoupletheinfo
5、rmationcontainedinthegivencolorformation,weproposecontinuousmixturesofappropriate(e.g.red,greenandblue)channels.Consideringeachindi-exponentialbasisfunctionsandderiveanalyticexpressionsvidualchannelofacolorimageasaseparatemonochromeforthesemodels.Theseanalyticexpressionstaketheformimage,theearlyap
6、proachesofteninvolvedcomponent-wiseofspatiallyvaryingkernelswhich,whenconvolvedwithaapplicationofthetraditionalgrayleveltechniquesoneachcolorimageorthesigneddistancefunctionofanevolvingchannelseparately.However,thisapproachfailstocapturecontour(placedinthecolorimage),yieldadetailpreservingtheinher
7、entcorrelationbetweenthecomponentsandresultssmoothingandsegmentation,respectively.Severalexamplesincolorartifactsorblending.Toavoidthis,colorimageonwidelyusedimagedatabasesareshowntodepicttheper-processingshouldb
