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1、GeodesicActiveRegionsUsingNon-parametricStatisticalRegionalDescriptionandTheirApplicationtoAneurysmSegmentationfromCTAMonicaHernandezandAlejandroF.FrangiComputerVisionGroup,DivisionofBiomedicalEngineering,AragonInstituteofEngineeringResearch,UniversityofZaragoza,Zaragoza,Spain{
2、mhg,afrangi}@unizar.esAbstract.Theinclusionofstatisticalregion-basedinformationintheGeodesicActiveContoursintroducesrobustnessinthesegmentationofimageswithweakorinhomogeneousgradientatedges.TheestimationoftheProbabilityDensityFunction(PDF)foreachregion,involvesthede?nitionofthe
3、featuresthatcharacterizetheimageinsidethedi?erentregions.PDFsareusuallymodelledfromtheintensityvaluesusingGaus-sianMixtureModels.However,wearguethattheuseofuptosecondorderinformationcouldprovidebetterdiscriminationofthedi?erentregionsthanbasedonintensityonly,asthelocalintensity
4、manifoldismoreaccuratelyrepresented.Inthispaper,wepresentanonparametricestimationtechniqueforthePDFsoftheunderlyingtissuespresentinmedicalimageswithapplicationforthesegmentationofbrainaneurysmsinCTAdatawiththeGeodesicActiveRegionsmodel.1IntroductionBrainaneurysmsarepathological
5、dilatationsofcerebralarteriesdevelopedonweakenedvesselwallsduetobloodpressure.TwodimensionalDigitalsubstrac-tionangiography(DSA)isconsideredthegoldstandardtechniqueforthede-tectionandquanti?cationofbrainaneurysms.However,otherlessinvasiveac-quisitiontechniqueslikeComputedTomogr
6、aphyAngiography(CTA),MagneticResonanceAngiography(MRA)or3DRotationalAngiography(3DRA)arealsousedascomplementarymethodsfortheseaims[15,7].Inclinicalpractise,quan-ti?cationisusuallyperformedfromMaximumIntensityProjections(MIP)oftheoriginalvolumetricscan,whichintroducesahighdegree
7、ofsubjectivitytothequanti?cationoftheaneurysm.Theuseofcomputerized3Dsegmentationtechniquescanplayacrucialroleinimprovingquanti?cationoftheaneurysmdimensionsaswellasforacorrectinterpretationofthe3Dmorphology.Theadoptionofdeformablemodelsforsegmentationinvascularcerebralstructure
8、shasbecomeverypopularoverthelastyears[9,16,1].Inpartic
