An Uncertainty-Driven Hybrid of Intensity-Based and Feature-Based Registration with Applica
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AnUncertainty-DrivenHybridof
Intensity-BasedandFeature-BasedRegistration
withApplicationtoRetinalandLungCT
Images
CharlesV.Stewart,Ying-LinLee,andChia-LingTsai
RensselaerPolytechnicInstituteTroy,NY12180-3590USA
Abstract.Anewhybridoffeature-basedandintensity-basedregistra-
tionispresented.Thealgorithmreflectsanewunderstandingoftheroleofalignmenterrorinthegenerationofregistrationconstraints.Thisleadstoaniterativeprocesswheredistinctiveimagelocationsfromthemovingimagearematchedagainsttheintensitystructureofthefixedimage.Thesearchrangeofthismatchingprocessiscontrolledbyboththeuncertaintyinthecurrenttransformationestimateandtheproper-tiesoftheimagelocationstobematched.TheresultinghybridalgorithmisappliedtoretinalimageregistrationbyincorporatingitasthemainestimationenginewithinourrecentlypublishedDual-BootstrapICPal-gorithm.Thehybridalgorithmisusedtoalignserialand4dCTimagesofthelungusingaB-splinebaseddeformationmodel.
1Introduction
Feature-basedandintensity-basedregistrationalgorithmsdifferconsiderablyin
theimage-basedfeaturesthatdrivethealignmentprocess[4].Intensity-basedtechniquesuseallimagepixelsanddonotrequireexplicitfeatureextraction.
Theytendtobemorestablearoundminimaoftheobjectivefunctionbecause
theydon’trelyonuncertainfeaturelocationsoroncorrespondenceswhichmay
fluctuatewithslightchangesinthetransformation.Ontheotherhand,feature-
basedtechniquestendtobefaster,haveawidercapturerange,andallowalign-
menttobefocusedononlyselectedsubsetsoftheimagedata.Thesestrengths
andweaknessesarestudiedexperimentallyin[9].
Agrowingsetofpapershasbeguntoaddresstheissueofcombiningfeature-
basedandintensity-basedregistration.Asexamples,in[5]registrationisdriven
bothbyintensitysimilarityerrorandbyerrorsinthepositionsofmatched
features.InFeldmaretal.[7]intensityistreatedasa4thdimensionforICP
matching,whileSharpetal.[13]combinesICPwithinvariantfeatures.Inamuch
ThesupportoftheGEGlobalResearchCenterandoftheNationalScienceFoun-dationthroughtheCenterforSubsurfaceSensingandImagingSystemsisgratefullyacknowledged.
C.Barillot,D.R.Haynor,andP.Hellier(Eds.):MICCAI2004,LNCS3216,pp.870–877,2004.cSpringer-VerlagBerlinHeidelberg2004AnUncertainty-DrivenHybrid871
differentapproach,Aylwardetal.[1]locatetubularstructuresinoneimageand
thenalignimagesusinggradient-descentofa“tubularness”measureevaluated
atthetransformedlocationsofthesestructuresintheotherimage.Ourselin,et
al.[10]useblock-matchingofintensitiestogetherwithrobustregression.Shum
andSzeliski[15]useblockmatchingofintensitiestorefinevideomosaics.The
PASHAalgorithm[4]combinescorrespondenceanddeformationprocessesina
globalobjectivefunction.IntheHAMMERalgorithm[14]registrationisdriven
bythealignmentoffeaturepositionsbasedonahierarchicaldescriptionofthe
surroundingintensitydistribution.
Thispaperpresentsanewhybridofintensity-basedandfeature-basedregis-
trationandappliestheresultingalgorithmintwocontexts:aligninglow-overlap
retinaimagesandspline-basedalignmentoflungCTvolumes.Featurepoints
foundinthemovingimagearematchedagainsttheintensitystructureofthe
fixedimage.Importantly,thesearchrangeforthematchisdictatedbyboth
thepropertiesofthefeatureandtheuncertaintyinthecurrenttransforma-
tionestimate.Thisdiffersfromcommonintensity-basedtechniqueswherecon-
straintsaredrivenbylocalchangesinthesimilaritymeasure.Italsodiffersfrom
correspondence-basedmethodslikeICP[2]wherematchingispurelyanearest-
pointsearch.
Thiscorealgorithmisbuiltintotwodifferentoverallregistrationalgorithms.
ThefirstisanextensionofourrecentDual-BootstrapICP[17]algorithmfor
aligningretinalimages.Replacingthefeature-to-featureICPalgorithmwith
thenewfeature-to-intensitysimilaritymatchingincreasestheeffectivenessfor
extremelydifferentcases.Thesecondoverallalgorithmisanewtechniquefor
non-rigid,B-splinealignmentoflungCTvolumes.Smallregionswithsufficient
intensityvariationinthemovingimagearematchedagainstthefixedimage.
ThesematchescontroltheestimateofhierarchicalB-splinedeformations.The
algorithmisappliedtoeffectivelyalignserialCTvolumes.
2TheRoleofUncertaintyinRegistration
Wemotivatethenewhybridalgorithmbyconsideringtheimportanceofun-
certaintyinregistration.LetS(p,q)measuretheregion-basedsimilarityerror
betweenmovingimageImatlocationpandfixed(target)imageIfatlocation
q.LetT(p;θ)bethetransformationmappingpfromImontoIfbasedonthe
(tobeestimated)parametervectorθ.Finally,letPbeasetoflocationsinImwheretransformationconstraintsareapplied.
Intensity-basedalgorithmssearchforthetransformationminimizingtheag-
gregatesimilarityerror:
E(θ)=
pi∈PS(pi,T(pi,θ)),(1)
Regularizingconstraintsmaybeplacedonθ,butwewillignorethesefornow.E(θ)ismostfrequentlyminimizedthroughagradient-descenttechnique[8].
Theestimate,ˆθ,remainsuncertainthroughouttheminimizationprocess.This