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DiabetesandFundusOCT

Elsevier

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Contributors

WaleedHabibAbdulla DepartmentofElectrical,ComputerandSoftwareEngineering, TheUniversityofAuckland,Auckland,NewZealand

EdiAbdurachman BinusGraduateProgram,BinaNusantaraUniversity,Jakarta, Indonesia

AhmedAboelfetouh InformationSystemsDepartment,FacultyofComputersand Information,MansouraUniversity,Mansoura,Egypt

MarahTalalAlhalabi ElectricalandComputerEngineeringDepartment,AbuDhabi University,AbuDhabi,UnitedArabEmirates

ZahraAmini MedicalImageandSignalProcessingResearchCenter,SchoolofAdvanced TechnologiesinMedicine,IsfahanUniversityofMedicalSciences,Isfahan,Iran

PunalM.Arabi BMEDept,ACSCollegeofEngineering,Bangalore,India

SandraAvila InstituteofComputing,UniversityofCampinas(Unicamp),Campinas, Brazil

FrancescoBandello DepartmentofOphthalmology,UniversityVita-Salute,Scientific InstituteSanRaffaele,Milan,Italy

EnricoBorrelli DepartmentofOphthalmology,UniversityVita-Salute,ScientificInstitute SanRaffaele,Milan,Italy

WidodoBudiharto BinusGraduateProgram,BinaNusantaraUniversity,Jakarta, Indonesia

AdrianoCarnevali DepartmentofOphthalmology,UniversityMagnaGraecia,Catanzaro, Italy

RenohJohnsonChalakkal DepartmentofElectrical,ComputerandSoftware Engineering,TheUniversityofAuckland,Auckland;oDocsEyeCareLtd.,Dunedin, NewZealand

EleonoraCorbelli DepartmentofOphthalmology,UniversityVita-Salute,Scientific InstituteSanRaffaele,Milan,Italy

PremaDaigavane ElectronicsEngineering,G.H.RaisoniCollegeofEngineering,Nagpur, India

GlanDevadas ElectronicsandInstrumentationEngineering,VimalJyothiEngineering College,Kannur,Kerala,India

D.AntoSahayaDhas ElectronicsandCommunicationEngineering,VimalJyothi EngineeringCollege,Kannur,Kerala,India

NabilaEladawi BioengineeringDepartment,UniversityofLouisville,Louisville,KY, UnitedStates

AymanEl-Baz BioengineeringDepartment,UniversityofLouisville,Louisville,KY, UnitedStates

MohammedElmogy BioengineeringDepartment,UniversityofLouisville,Louisville,KY, UnitedStates

AlexandreFerreira InstituteofComputing,UniversityofCampinas(Unicamp), Campinas,Brazil

HarryW.Flynn,Jr BascomPalmerEyeInstitute,DepartmentofOphthalmology, UniversityofMiamiMillerSchoolofMedicine,Miami,FL,UnitedStates

MohammedGhazal ElectricalandComputerEngineeringDepartment,AbuDhabi University,AbuDhabi,UnitedArabEmirates

ShengChiongHong oDocsEyeCareLtd.,Dunedin,NewZealand

G.Indumathi MepcoSchlenkEngineeringCollege,Sivakasi,India

GayatriJoshi BMEDept,ACSCollegeofEngineering,Bangalore,India

AnoopBalakrishnanKadan ElectronicsandCommunicationEngineering,VimalJyothi EngineeringCollege,Kannur,Kerala,India

RaheleKafieh MedicalImageandSignalProcessingResearchCenter,SchoolofAdvanced TechnologiesinMedicine,IsfahanUniversityofMedicalSciences,Isfahan,Iran

NikitaKashyap ElectronicsandCommunicationEngineering,Dr.C.V.RamanUniversity, Bilaspur,Chhattisgarh,India

RobertKeynton BioengineeringDepartment,UniversityofLouisville,Louisville,KY, UnitedStates

AshrafKhalil ComputerScienceDepartment,CollegeofEngineering,AbuDhabi University,AbuDhabi,UnitedArabEmirates

RosaLozada DepartmentofOphthalmology,UniversityofPuertoRicoSchoolof Medicine,SanJuan,PR,UnitedStates

AliH.Mahmoud BioengineeringDepartment,UniversityofLouisville,Louisville,KY, UnitedStates

HatemMahmoud DepartmentofOphthalmology,FacultyofMedicine,Al-Azhar University,Cairo,Egypt;BioengineeringDepartment,UniversityofLouisville, Louisville,KY,UnitedStates

K.C.Manoj ElectronicsandCommunicationEngineering,VimalJyothiEngineering College,Kannur,Kerala,India

ElahehMousavi MedicalImageandSignalProcessingResearchCenter,Schoolof AdvancedTechnologiesinMedicine,IsfahanUniversityofMedicalSciences,Isfahan,Iran

WaniPatil ElectronicsEngineering,G.H.RaisoniCollegeofEngineering,Nagpur,India

RamonPires InstituteofComputing,UniversityofCampinas(Unicamp),Campinas, Brazil

GiuseppeQuerques DepartmentofOphthalmology,UniversityVita-Salute,Scientific InstituteSanRaffaele,Milan,Italy

LeaQuerques DepartmentofOphthalmology,UniversityVita-Salute,ScientificInstitute SanRaffaele,Milan,Italy

HosseinRabbani MedicalImageandSignalProcessingResearchCenter,Schoolof AdvancedTechnologiesinMedicine,IsfahanUniversityofMedicalSciences,Isfahan,Iran

AlaaRiad InformationSystemsDepartment,FacultyofComputersandInformation, MansouraUniversity,Mansoura,Egypt

AndersonRocha InstituteofComputing,UniversityofCampinas(Unicamp),Campinas, Brazil

T.V.Roshini ElectronicsandCommunicationEngineering,VimalJyothiEngineering College,Kannur,Kerala,India

BoySubirosaSabarguna BinusGraduateProgram,BinaNusantaraUniversity,Jakarta, Indonesia

RiccardoSacconi DepartmentofOphthalmology,UniversityVita-Salute,Scientific InstituteSanRaffaele,Milan,Italy

PerumalSankar ElectronicsandCommunicationEngineering,TOCHInstituteofScience andTechnology,Ernakulam,Kerala,India

V.Sathananthavathi MepcoSchlenkEngineeringCollege,Sivakasi,India

ShlomitSchaal DepartmentofOphthalmologyandVisualSciences,Universityof MassachusettsMedicalSchool,Worcester,MA,UnitedStates

StephenG.Schwartz BascomPalmerEyeInstitute,DepartmentofOphthalmology, UniversityofMiamiMillerSchoolofMedicine,Miami,FL,UnitedStates

DharmendraKumarSingh ElectricalandElectronicsEngineering,Dr.C.V.Raman University,Bilaspur,Chhattisgarh,India

GirishKumarSingh ComputerScienceandApplications,Dr.HarisinghGourUniversity, Sagar,MadhyaPradesh,India

BambangKrismonoTriwijoyo BinusGraduateProgram,BinaNusantaraUniversity, Jakarta;BumigoraUniversity,Mataram,Indonesia

VictorM.Villegas DepartmentofOphthalmology,UniversityofPuertoRicoSchoolof Medicine,SanJuan,PR;BascomPalmerEyeInstitute,DepartmentofOphthalmology, UniversityofMiamiMillerSchoolofMedicine,Miami,FL,UnitedStates

JacquesWainer InstituteofComputing,UniversityofCampinas(Unicamp),Campinas, Brazil

Computer-aideddiagnosissystem basedonacomprehensivelocal featuresanalysisforearlydiabetic retinopathydetectionusingOCTA

NabilaEladawia,MohammedElmogya,MohammedGhazalb, HatemMahmoudc,AliH.Mahmouda,AshrafKhalild, AhmedAboelfetouhe,AlaaRiade,RobertKeyntona,AymanEl-Baza a BIOENGINEERINGDEPARTMENT,UNIVER SITYOFLOUISVILLE,LOUISVILLE,KY, UNITEDSTATES b ELECTRICALANDCOMPUTERENGINEERINGDEPARTMENT, ABUDHABIUNIVERSITY,ABU DHABI,UNITEDARABEMIRATES c DEPARTMENTOFOPHTHALMOLOGY,FACULTYOF MEDICINE,AL-AZHAR UNIVERSITY,CAIRO, EGYPT d COMPUTERSCIENCEDEPARTMENT,C OLLEGEOFENGINEERING,ABU DHABIUNIVERSITY,ABUDHABI,UNITEDARABEMIRATES e INFORMATIONSYSTEMS DEPARTMENT,FACULTYOFCOMPUTERSAND INFORMATION,MANSOURAUNIVERSITY, MANSOURA,EGYPT

1Introduction

Retinovasculardiseasesconstituteamajorcauseofvisionloss.Diabetesoveralongperiod givesrisetodeteriorationofsmallretinalbloodvessels.Theseretinalbloodvesselsleak fluidsandblood,whichcauseretinaltissueswelling.Asaresult,itmaycausediabeticretinopathy(DR),whichisasignificantcomplicationofdiabetes[1].Theclinicalfeatures, suchasneovascularization,microaneurysms,andhemorrhages,areseeninpeoplesufferingfromDR.Neovascularizationistheappearanceofnewunusualbloodvesselsinmany partsoftheeyecontaining,ofcourse,theretina.Thewallsofthesenewvesselsareweak andmaybreakandbleed.Oneoftheprimaryeffectsofneovascularizationandbleedingis theappearanceofnewvascularcrossoverandbifurcationpointsintheretinalvasculature network[2].Therefore,earlyandaccuratedetectionofthesesignsisimportanttoprevent blindnessandavoidDRcomplications.Manualdiagnosisandanalysisoftheretinal imagesisatime-consumingandtediousprocess.Thus,automaticdetectionanddiagnosiswillminimizetimeandeffort,whichwillhelpintheearlydetectionofthedisease[3]. Therearevariousimagingmodalitiesforretinathatestimatethestateoftheblood vasculaturenetwork.Theseincludefluoresceinangiography(FA),colorfundus,andoptical

coherencetomographyangiography(OCTA)images.TheOCTAisanewnoninvasiveimagingmodality,whichcapturesthebloodvasculaturenetworkinvariousplexusestoindicate differentlayersoftheretina.ByusingOCTAimagingmodality,theophthalmologistcaneasilyexamineavascularcapillary,superficialcapillary,anddeepcapillaryplexusesinaddition tochoroidandchoriocapillarisplexusesseparately[4].TheotheradvantageofOCTAisthat itallowsophthalmologiststomeasurefovealavascularzone(FAZ)andnonperfusionarea bilaterallywithoutobscurationbyleakageoffluoresceindye[5].Therefore,inthischapter, wehaveanalyzedOCTAimageswithtwodifferentretinalplexusestodetectanddiagnose mildDRcasesanddistinguishthemfromnormalcases.

Intheliterature,retinalimageanalysisisaveryrichresearcharea.Therearemany studiesthathavebeendonetodiagnosevariousretinaldiseasesbyanalyzingretinalblood vessels,retinallayers,orboth.Forinstance,Agemyetal.[6]haveintroducedamethod usingOCTAtomapretinalvascularperfusiondensityandtocomparevariousstagesof DR.Theyhavenoticedaconsiderabledecreaseinthedensityvaluesofthecapillary perfusionasDRprogresses.

Hwangetal.[7]haveintroducedamethodusingOCTAtodemonstratethechanges occurredintheareaofFAZinDRpatients.Theyhavenoticedthatthetotalareaofthe FAZisgreaterinDRthaninnormalcases.Hwangetal.[8]haveinvestigatedthemoresignificantfeaturesthatcanberetrievedfromOCTAscansforDRpatients.Stangaetal.[9] havedifferentiatedbetweenhealthyandDRpatientsinOCTAscansbasedontheenlargementoftheFAZareaforDRcases.

Takaseetal.[10]evaluatedtheFAZareausingOCTAimages.Theyhavenoticedthat diabeticeyesshowanincreaseinFAZareaascomparedwithhealthyeyes,irrespective oftheexistenceofDR.Bhanushalietal.[11]haveanalyzedtheareaoftheFAZ,thevessel density,thespacingbetweensmallvessels,andthespacingbetweenlargeonesbyapplyinglocalfractalanalysistothesuperficialanddeepretinalOCTAimages.Krawitzetal.[12] usedOCTAimagestoexaminetheaxisratiooftheFAZtodistinguishbetweenhealthyand diabeticpatients.Theyfoundasignificantdifferencebetweenthevaluesfornormalcases anddiabeticcases.

Tarassolyetal.[13]haveconductedanexperimenttoseethecapabilityofOCTAin detectingtheabnormalitiesintheimagesofDRpatientsandcompareditwithfundusfluoresceinangiography(FFA).Using120DReyes,theywereabletodetectmicroaneurysms, intraretinalmicrovascularabnormalities,andneovascularization.Theyconcludedthat OCTAhasahigherdetectionrateforintraretinalmicrovascularabnormalitiesthanFFA.

Ishibazawaetal.[14]haveevaluatedhowOCTAimagescancapturethefeaturesofDR. Theycollected47eyesforDRpatients.TheyhaveconcludedthatOCTAcouldobviously detectmicroaneurysms,neovascularization,andretinalnonperfusedareasinDR patients.TheyhavealsoconcludedthatOCTAimagescouldbeusedeffectivelytoevaluate thetreatmentofDR.

Soaresetal.[15]haveperformedanobservationalstudytocomparetheabilityFAand OCTAinclassifyingpatientswithDR.Theyused50DReyes,26ofthemfromDRpatients, andtwograderstogradeandclassifytheimages.TheyfoundoutthatOCTAisbetterin

gradingthecentralsubfieldandparafovealmaculavasculaturethanFAespeciallyforFAZ andcapillarydropout.

Freibergetal.[16]haveconductedanexperimenttoanalyzethedifferenceinFAZ dimensionsinhealthycontrolsandDRpatientsusingOCTAimages.Theyhaveused 29imagesofDRpatientsand25ofhealthycontrols.Inthesuperficiallayer,theyhave noticedanenlargementoftheFAZdiameterinDRsubjects.Thedifferencewasevenmore noticeableinthedeeplayer.TheyhaveconcludedthatOCTAcanaccuratelydistinguish betweennormalandDRpatientsusingFAZdimensions.

Youetal.[17]haveused22DRpatientsand15healthycontrolstoinvestigatetheability ofOCTAinmeasuringthevesselsdensityandhowaccuratelythesemeasurescandifferentiatebetweennormalanddiseasedsubjects.TheyhaveconcludedthatOCTAwasable tomeasurethevesseldensityinallsubjectsaccurately.Theresultsdemonstratedthat vesseldensityinDRpatientsislessthanthatinnormalsubjects.

Fromtheliteraturementionedearlier,itmaybenoticedthatmostofthepublished workconcentratedonprocessingtheOCTAimagesmanually.Also,ifitisautomatically processed,mostlyitwillbefundusimagesthatlackdepthinformation.Finally,mostof thecurrentcomputer-aideddiagnosis(CAD)systemsbasetheirdiagnosisonfeaturesthat wereextractedglobally.TodetecttheDRinitsearlystage,thesefeaturesmaynotbesufficient.Inthischapter,wehavetriedtoeliminatethelimitationsmentionedpreviouslyby presentingaCADsystemthatisabletosegmentbloodvesselsfromdifferentretinal plexusesusingOCTAimages.Then,fournewlyderivedlocalfeatureswereextractedto characterizetheappearanceandspatialstructureoftheretinalbloodvesselstoaidthe CADsysteminitsdiagnosis.

Therestofthechapterisorganizedasfollows. Section2 discussesthestructureofthe proposedOCTA-baseddiagnosissystem.Thefourextractedfeaturesareelucidatedin detail. Section3 describestheexperimentalresults.Finally, Section4 presentstheconclusionandthefuturework.

2Materialsandmethods

OurCADsystemconsistsoffourm ajorphases,asillustratedin Fig.1 .First,apreprocessingphaseisdevelopedtoimproveth econtrastoftheprocessedOCTAimages inadditiontoreductioninthenoiseeffect.Second,anautomatedsegmentation phaseisimplementedtoextracttheretinal bloodvesselsfromot herbackgroundtissues.Then,thefeatureextractionphaseisdevelopedtoextractfourvariouslocalfeaturesfromthesegmentedsuperficialand deepretinalOCTAplexuses.Theselocal featuresarethewidthoftheFAZarea,theret inalbloodvesseldensity,thebloodvesselcaliber,andthevascularbifurcationandcrossoverpoints.Finally,atwo-stage randomforest(RF)classifieristrainedbyusingtheseextractedfeaturestodistinguishthenormalcasesfrompatientswithmildDR. Fig.2 showstheflowchartof theproposedsystem.Inthefollowingse ctions,thephasesoftheproposedsystem aredescribedindetail.

FIG.1 TheproposedOCTAdiagnosissystemforearlysignsofmildDR.

FIG.2 TheflowchartoftheproposedOCTAdiagnosissystemforearlysignsofmildDR.

2.1Contrastenhancementandnoiseelimination

Inthebeginning,weneedtoimprovethecontrastandhomogeneityinadditiontodecrease thenoise,whichcanbefoundintheOCTAplexusesbeforesegmentingtheretinalblood vessels.First,theregionaldynamichistogramequalizationisappliedtogeneratea

uniformlydistributedgraylevelsfortheprocessedimages.Then,acombinationofthegeneralizedGauss-Markovrandomfieldmodelandanadaptivegraylevelthresholdestimation techniqueisutilizedtoimprovethehomogeneityoftheprocessedimages[18].Theresultingsmoothedimageisusedasaninputtotheretinalbloodvesselsegmentationstage.

2.2Vesselsegmentation

Thevesselsegmentationphaseisdevelopedtoretrieveandseparatetheretinalbloodvessels fromotherbackgroundtissuesfordifferentretinalOCTAplexuses,suchassuperficialand deepplexuses.Tosegmentbloodvessels,thesegmentationtechniquecombinesthreedifferentmodels,whicharepriorintensity,currentintensity,andhigher-orderspatialmodels. First,thepriorgrayintensitymodelisgeneratedfromasetoftrainingimages,whichare manuallylabeledbythreedifferentretinaexperts.Second,anenhancedversionofthe ExpectationMaximizationalgorithmisusedtogeneratethecurrentintensitymodel.Finally, thehigher-orderMarkov-Gibbsrandomfield(HO-MGRF)isusedtocalculatethehigherorderspatialmodel.BoththeHO-MGRFandcurrentintensitymodelswereusedtohandle overcomethelowcontrastbetweenthebackgroundtissuesandthebloodvessels.Finally,a NaıveBayes(NB)isappliedbylabelingandanalyzingtheconnectedcomponentstogeneratearefinedfinalresult. Fig.3 showstheoutputofthepreprocessingandsegmentation

FIG.3 TheoutputofthepreprocessingandsegmentationstagesfornormalandmildDRsubjectsbyusingsuperficial anddeepOCTAplexuses.

stagesfornormalandmildDRsubjectsbyusingsuperficialanddeepOCTAplexuses.For moredetailaboutthesegmentationtechnique,thereaderisreferredtoRef.[19].

2.3Localfeatureextractionanddiagnosis

Inthisstage,wehaveextractedfourdistinguishingfeaturesthatareusedinthefinalstep toclassifytheimagesintomildDRornormalcases.Thedetailsofthosefeaturesaregiven inthefollowingsections.

2.3.1Bloodvesseldensityestimation

Manyretinaldiseasescanbeobservedbyanalyzingthevasculatureoftheretina.Todetect thealterationsinthebloodvesselsoftheretina,adetailedanalysisofthevasculatureis required[20].Accordingtotheliteratureandintheopinionofourretinaexperts,theblood vesseldensitywillbechangedincaseofDRpatients.Therefore,itcanbeusedasafeature todifferentiatethenormalfromDRcases.TocapturethevesseldensitychangesinOCTA images,thelocalbloodvesseldensityiscalculatedforbothretinalOCTAplexuses. AParzenwindowtechniquewasimplementedtocomputethelocaldensityoftheblood vessels.Usingagivenwindowsize,theParzenwindowtechniquecalculatesthevascular density(PPWPW(Br))atspecificlocation r.Thislocationdependsontheneighboringpixels totheprocessedpixelinthesegmentedOCTAimages(Br).Wehavetestedfivedifferent squaredParzenwindowsizes(3 3,5 5,7 7,9 9,and11 11)toestimatethedensity toensurethatoursystemisnotsensitivetothechoiceofthewindowsize.Finally,weused thecumulativedistributionfunction(CDF)torepresentthedensityofthebloodvessels foreachtestedwindowsize.ThegeneratedCDFswereusedasfeaturestohelpindisseminatingthenormalfromDRcases.TheminimumincrementalvaluefortheCDFischosen tobe0.01.Therefore,eachCDFforspecificwindowsizewillberepresentedas100elementsvector.Thesevectorsaresuppliedtotheclassifiertoassistindiagnosingtheprocessedimages. Algorithm1 liststhestepsforcalculatingthedensityofbloodvesselsby usingParzenwindowtechniquewithdifferentwindowsizes. Fig.4 showsanexample ofthefourextractedfeatures.

nnn

Algorithm1Theproposedbloodvesselsdensityestimationalgorithm.

Data: Thesegmentedsuperficialanddeepplexuses,Parzenwindowsizes,andincrementvalue ofCDF(0.01)

(1) ReadtheParzenwindowsize.

(2) Calculate PPW(Br) foreachpixelinthesegmentedimage.

(3) Countthenumberofoccurrencesofeachprobabilityvalueintheimage.

(4) ReadtheincrementvalueoftheCDF.

(5) CalculatetheCDF(PCDF:PW(N))forthecurrentwindowsize.

Result: TheCDFsofthesuperficialanddeepplexusesatdifferentwindowsizes

FIG.4 ThefourextractedlocalfeaturesofasuperficialretinalplexusformildDRcase.

2.3.2Retinalbloodvesselcaliber

Ithastheabilitytodistinguishthesmallandlargeretinalvesselsbyanalyzingtheintensity levelsandappearanceofsegmentedbloodvesselsfrombothOCTAplexuses.First,the segmentedOCTAplexusismultipliedbytheoriginalplexustoobtainthevalueofintensitiesforthesegmentedvessels.Then,CDFisgeneratedfortheresultingintensityvalues thatindicatethevariationsofretinalbloodvesselcaliber.Theincrementalvalueforthe generatedCDFwaschosentobe0.02.So,eachoneoftheseCDFswillberepresented asa128-elementvector. Fig.4 showsthesegmentedbloodvesselcaliberanditsCDFcurve fromasuperficialplexusforaDRcase,respectively.Thebluecolorindicatesthelowest

appearancelevelforthebloodvessel(i.e.,thesmallvessels),whereastheredcolorindicatesthehighestappearancelevel(i.e.,thelargevessels).

2.3.3WidthoftheFAZ

OneoftheimportantsignsofthechangeinthevisualacutenessistheFAZarea.An enlargementoftheFAZareaisusuallyfoundasaresultofthelossofcapillariesinDRcases [21].TheregiongrowingalgorithmisimplementedtosegmenttheFAZareafromthesegmentedOCTAplexuses.Thecentralpointofthesegmentedplexusischosenasaseed point(rseed),asallourimagesarecenteredatthemacula.Morphologicalfiltersareapplied aftertheregiongrowingalgorithmtofillsmallholesandtoremovediscontinuousregions intheFAZarea.Amedianfilterisappliedtosmooththesegmentedarea.Torepresentthe extractedFAZareaasalocalfeature,thedistancemapiscalculated.Thedistancemapis formedusingtheEuclideandistancebetweeneachpixelintheextractedFAZanditsclosestboundarypixel.TheresultingdistancesrepresentedasaCDFcurveiscalculatedwith anincrementalvalueof0.03.EachCDFcurveisintroducedasa150-elementvector,which indicatesthemaximumvalueofthedistancemapoftheFAZarea. Fig.4 showsthe extractedFAZareawithitsdistancemapandtheCDFcurvefromasuperficialplexus forDRcase.

2.3.4Bifurcationpoints

Inretinalimages,vascularbifurcation,branch,andcrossoverpointscanbeconsidered speciallandmarksforpredictingmanyretinaldiseases.Thechangesthatoccurinbifurcationandcrossoverpointsmaybeanindicationofanillness[22].Thebifurcationpoints canberecognizedeasilybecauseoftheirT-shapewiththreesurroundingbranches[23]. Onbifurcation,avesselisdividedintotwovessels.Thebranchisasmallervesselthat comesoutorgrowfromawidervessel.Acrossoverappearswheretwovessels(artery andvein)crosseachother.Ourmainconcernhereistodetectbifurcationpoints.Todetect bifurcationpoints,wefirstextractthelargevesselsbymultiplyingtheoriginalimageby thesegmentedimagethenapplyingathreshold,asshownin Fig.4.Then,athinningtechniqueisusedtoerasepixelsofthebordersandreturntheskeletonofthevesselswithout affectingtheconnectivityorthedirectionofthebloodvessels.Bifurcationpointsarecalculatedbyanalyzingtheneighborhoodpixelsforeachpointinthegeneratedskeletonby usingthefollowingequation:

where N(X) isthenumberoftheintersectionsthatiscomputedforeachpoint(X)ofthe skeletonand Mi(X)arethenumberofneighborhoodpixelsof X thatisconsecutively namedclockwise.Eachpointwillbemarkedasoneoffourtypesaccordingtoitsnumber ofintersections.Itisavesselendpointif N(X) ¼ 1.Itisaninternalvesselpointif N(X) ¼ 2.It isavesselbifurcationpointif N(X) ¼ 3.Finally,itisavesselcrossoverpointif N(X) ¼ 4.

Inaddition,askeletonfilteringstepisperformedtodeleteunrealpoints.So,wehave deletedtheonesthatareshorterthananestablishedthreshold,whichisthemaximum vesselwidthexpectedintheimage.Tousethesedetectedbifurcationpointsasafeature inoursystem,wehavedividedtheimageinto8 8,16 16, …,1024 1024windows. Then,wecalculatedthenumberofbifurcation,crossover,andbranchpointsineachwindowsize.Window128 128gaveusthebestresultandwehaveusedthatinoursystem. Algorithm2 liststhestepsforgeneratingfeaturevectorsforbifurcation,crossover,and branchpoints.

nnn

Algorithm2Theproposedalgorithmforextractingthevascularbifurcationpoints.

Data: Theoriginalandsegmentedsuperficialimages.

(1) Multiplytheoriginalsuperficialimagebythesegmentedimage.

(2) Applyathresholdtoextractthelargebloodvessels.

(3) Applythethinningtechniquetogeneratethevessels’skeleton.

(4) Calculatethenumberofvesselendpoints,internalvesselpoints,vesselbifurcationpoints, andvesselcrossoverpoints.

(5) Applyskeletonfilteringtechniquetodeleteunrealpoints.

(6) Generatethefeaturevectors:

• Dividetheimageinto8 8,16 16, ,1024 1024windows.

• Calculatethenumberofbifurcation,crossover,andbranchpointsineach windowsize.

• Findthebestwindowsize.

• Generatethefeaturevectorsforbifurcation,crossover,andbranchpoints.

Result: Thefeaturevectorsforbifurcation,crossover,andbranchpoints.

2.4MildDRdiagnosis

ItisthefinalphaseinourproposedsystemwheretheclassificationoftheimagesasnormalormildDRtakesplace.Theclassifierusesthefourfeaturesthathavebeenextractedin thepreviousphasetohelpinclassificationprocess.Thefirstthreefeatures,thevesseldensity,thevesselscaliber,andthedistancemapoftheFAZarea,aresuppliedtotheclassifier asCDFcurvesforbothsuperficialanddeepplexuses.Thefourthfeature,whichisthe avascularbifurcation,isrepresentedasthreevectorsthatrepresentthenumberofbifurcation,branch,andcrossoverpointsinspecificwindowsize(128 128)forthesuperficial retinalplexus.TheproposedCADsystememploystheRFclassifier,whichachievedthe bestresultsascomparedwithotherstate-of-the-artclassifiers,toclassifytheimages. Thediagnosisphaseisatwo-stageclassificationprocess,asshownin Fig.1.Thefirststage processeseachextractedfeatureindependently.Thesecondstagefusestheresultofthe firststagetogetafinaldiagnosisdecision.

3Experimentalresults

Adatasetof133caseswasusedtoevaluateourdiagnosissystem(34fornormaland99for mildDRcases).AZEISSAngioPlexOCTAngiographymachine[24]wasusedtocapturethe images.Thismachineprovidesanoninvasivevascularimagingplatformforbloodflowin theretina.Asmentionedearlier,ourpresentedsystemwastestedonbothdeepandsuperficialretinalplexuses.Weusedtheimagesizeof1024 1024.TheOCTAimageswere6 6mm2 sectionscenteredonthefovea.Fivedifferentmetricswereusedtoevaluateour diagnosissystem.Weusedaccuracy(ACC),sensitivity(Sens.),specificity(Spec.),thearea underthecurve(AUC),anddicesimilaritycoefficient(DSC).Twocross-validationtechniqueswereused:twofoldandfourfoldcross-validations.Inaddition,theperformanceof theproposedsystemwasevaluatedagainstfivestate-of-the-artclassifiers,suchasthe supportvectormachine(SVM)withlinearkernel,SVMwithradialbasisfunction (RBF),SVMwithpolynomialkernel,classificationtree,andK-nearestneighbor(KNN). Table1 liststheresultsoftheclassificationbasedonthefourextractedfeaturesforthe testedclassifiers.ItshowsthattheRFclassifieroutperformstheotherstate-of-the-art techniquesandprovidespromisingresults.

Wehaveconductedsixexperimentstounderstandtheeffectoffourextractedfeatures andtheirdifferentintegrationonthediagnosisresult.First,wehaveevaluatedthesystem byusingthedensityfeaturewithagivenwindowsizeforsuperficialplexusonlyandthen fordeepplexus.Second,wecombineddensityfeatureforbothtestedplexuseswithgiven windowsize.Thewindowsizeof11 11providedthebestresultsinthefirsttwoexperiments.Therefore,wefixedthewindowsize11 11inotherexperimentsforthevessel density.Inaddition,thecombinationofthedensityfeaturesinbothplexusesachieved thebestresultsamongtheothers.Third,thedensityfeatureisgatheredwiththevessel caliberforbothplexuses.Fourth,thedensityfeatureiscombinedwiththedistance

Table1 Theresultsoftheclassificationbasedonthedensityofthebloodvessels (11 11window),theretinalbloodvesselcaliber,thedistancemapoftheFAZ, andbifurcationpointsfromboththesuperficialanddeepretinalmaps.

ClassifiersValidationACC(%)Sens.(%)Spec.(%)AUC(%)DSC(%)

SVM(linear)Fourfold88.695.773.984.891.8 Twofold68.685.134.859.978.4 SVM(polynomial)Fourfold91.495.782.689.293.8 Twofold708343.563.278.8 SVM(RBF)Fourfold88.695.773.984.891.8 Twofold85.791.573.982.789.6 KNNFourfold9095.778.38792.8 Twofold9093.682.688.192.6 ClassificationtreeFourfold84.391.569.680.588.7 Twofold84.393.665.279.488.9 RFFourfold 94.397.98792.495.8 Twofold 97.197.995.796.897.9

Boldtextpresentsthebestresults.

Table2 Theresultsofsomefeaturecombinationsonbothsuperficialandretinal plexusesusingRFclassifierwithtwofoldcross-validation.

FeaturesACC(%)Sens.(%)Spec.(%)AUC(%)DSC(%)

Vesselsdensity+vesselscaliber9095.778.38792.8 Vesselsdensity+FAZ81.485.173.979.586 Bifurcationpoints+vesselsdensity84.391.569.980.588.7 Bifurcationpoints+vesselscaliber71.485.143.564.380 Bifurcationpoints+FAZ72.997.721.759.882.9 Vesselsdensity+vesselscaliber+bifurcationpoints9091.58789.292.5 Vesselsdensity+vesselscaliber+FAZ+bifurcation points 97.197.995.796.897.9

Boldtextpresentsthebestresults.

mapoftheFAZareaforbothplexuses.Fifth,thefirstthreeextractedfeaturesareusedto evaluatetheproposeddiagnosissystem.Finally,thefourfeaturesareusedtoevaluatethe system.Wefoundthatthelastscenariogetsthebestresultsascomparedwithotherscenarios. Table2 liststheresultsoftheclassificationbasedonthefourextractedfeaturesfor RFclassifierbasedontwofoldcross-validation.

4Conclusions

AnOCTA-baseddiagnosissystemforthedetectionoftheearlysignsofDRhasbeendiscussed.First,weextractedthebloodvesselsfrombothdeepandsuperficialOCTAimages. Then,fourlocalfeaturesthatrepresenttheshapeandappearancewereextracted.Oursystemwasabletoextractthebloodvesselcaliber,bloodvesseldensity,distancemapofthe FAZ,andthebifurcationpoints.TotrainanRFclassifier,thesefeatureswereused.Using 133subjects,thesystemobtainedanaccuracyof97%.Thisresultdemonstratesthatour systemhastheabilitydetecttheearlysignsofDR.Wewilltrytoextractmorefeaturesin thefuturetohelpinenhancingthediagnosticcapabilityofoursystem.Wewillalsotryto applythesystemtodetectotherdiseasesinearlystagesandmeasureitsaccuracy.

Thisstudycouldalsobeusedforvariousotherapplicationsinmedicalimaging,such asthekidney,theheart,theprostate,thelung,andthebraininadditiontotheretina,as wellasseveralnonmedicalapplications[25–28].

Onesuchapplicationisrenaltransplantfunctionalassessment,especiallywiththe developmentofdevelopingnoninvasiveCADsystemsforrenaltransplantfunction assessment,utilizingdifferentimagemodalities(e.g.,ultrasound,computedtomography [CT],MRI,etc.).Accurateassessmentofrenaltransplantfunctioniscriticallyimportant forgraftsurvival.Althoughtransplantationcanimproveapatientwell-being,thereisa potentialposttransplantationriskofkidneydysfunctionthat,ifnottreatedinatimely manner,canleadtothelossoftheentiregraft,andevenpatientdeath.Inparticular, dynamicanddiffusionMRI-basedsystemshavebeenclinicallyusedtoassesstransplantedkidneyswiththeadvantageofprovidinginformationoneachkidneyseparately.

Formoredetailsaboutrenaltransplantfunctionalassessment,thereadersarereferredto Refs.[29–56].

Thisstudyalsofindsanimportantapplicationincardiacimaging.Theclinicalassessmentofmyocardialperfusionplaysamajorroleinthediagnosis,management,andprognosisofischemicheartdisease.Thus,therehavebeenongoingeffortstodevelopautomated systemstoaccuratelyanalyzemyocardialperfusionusingfirst-passimages[57–73].

Abnormalitiesofthelungcouldalsobeanotherpromisingareaofresearchanda relatedapplicationofthisstudy.Radiation-inducedlunginjuryisthemainsideeffect ofradiationtherapyinlungcancerpatients.Althoughhigherradiationdosesincrease theradiationtherapyeffectivenessfortumorcontrol,itcanleadtolunginjuryasagreater quantityofnormallungtissuesisincludedinthetreatedarea.Almostone-thirdof patientswhoundergoradiationtherapydeveloplunginjuryfollowingradiationtreatment.Theseverityofradiation-inducedlunginjuryrangesfromground-glassopacities andconsolidationattheearlyphasetofibrosisandtractionbronchiectasisinthelate phase.Earlydetectionoflunginjurywillthushelptoimprovemanagementofthetreatment[74–116].

Thisstudycanalsobeappliedtootherbrainabnormalities,suchasdyslexiainaddition toautism.Dyslexiaisoneofthemostcomplicateddevelopmentalbraindisordersthat affectchildren’slearningabilities.Dyslexialeadstothefailuretodevelopage-appropriate readingskillsinspiteofthenormalintelligencelevelandadequatereadinginstructions. Neuropathologicalstudieshaverevealedanabnormalanatomyofsomestructures,such asthecorpuscallosumindyslexicbrains.Therehasbeenalotofstudiesintheliterature thataimsatdevelopingCADsystemsfordiagnosingsuchdisorder,alongwithotherbrain disorders[117–139].

Forthevascularsystem[140],thisstudycouldalsobeappliedfortheextractionof bloodvessels,forexample,fromphasecontrastmagneticresonanceangiography (MRA).AccuratecerebrovascularsegmentationusingnoninvasiveMRAiscrucialfor theearlydiagnosisandtimelytreatmentofintracranialvasculardiseases[122, 123, 141–146].

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