abstract Weproposeanovelandefficientvolumetricmethodforregistering3Dshapeswithnonrigiddeformations.Ourmethodusesasigneddistancefieldtorepresentthe3Dinputshapes andregistersthembyminimizingthedifferencebetweentheirdistancefields.Withthe assumptionsthatthesamplingpointsineachcelloftheobjectvolumefollowthesame rigidtransformation,andthetransformationsofthesamplingcellsvarysmoothlyinsidethe objectvolume,atwo-stepmethodisusedforthenon-rigidregistration.Thefirststepis thelocallyrigidregistration,whichminimizesthedifferencebetweenthesourceandtargetdistancefieldsofthesamplingcells.Thesecondstepisthegloballynon-rigidregistration,whichminimizesthedifferencebetweenthetransformationsofadjacentcells.Injusta fewiterations,ourmethodrapidlyconvergesfortheregistration.Wetestedourmethodon severaldatasets,andtheexperimentalresultsdemonstratetherobustnessandefficiencyof ourmethod.
บทคัดย่อ Weproposeanovelandefficientvolumetricmethodforregistering3Dshapeswithnonrigiddeformations.Ourmethodusesasigneddistancefieldtorepresentthe3Dinputshapes andregistersthembyminimizingthedifferencebetweentheirdistancefields Withthe assumptionsthatthesamplingpointsineachcelloftheobjectvolumefollowthesame rigidtransformation, andthetransformationsofthesamplingcellsvarysmoothlyinsidethe objectvolume, atwo-stepmethodisusedforthenon-rigidregistration Thefirststepis thelocallyrigidregistration, whichminimizesthedifferencebetweenthesourceandtargetdistancefieldsofthesamplingcells Thesecondstepisthegloballynon-rigidregistration, whichminimizesthedifferencebetweenthetransformationsofadjacentcells Injusta fewiterations, ourmethodrapidlyconvergesfortheregistration Severaldatasets Wetestedourmethodon, andtheexperimentalresultsdemonstratetherobustnessandefficiencyof ourmethod
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andregistersthembyminimizingthedifferencebetweentheirdistancefields weproposeanovelandefficientvolumetricmethodforregistering3dshapeswithnonrigiddeformations.ourmethodusesasigneddistancefieldtorepresentthe3dinputshapes นามธรรม กับ rigidtransformation assumptionsthatthesamplingpointsineachcelloftheobjectvolumefollowthesame ,andthetransformationsofthesamplingcellsvarysmoothlyinsidethe objectvolume atwo-stepmethodisusedforthenon-rigidregistration.thefirststepis thelocallyrigidregistration whichminimizesthedifferencebetweenthesourceandtargetdistancefieldsofthesamplingcells , , . thesecondstepisthegloballynon rigidregistration whichminimizesthedifferencebetweenthetransformationsofadjacentcells.injusta fewiterations , ,ourmethodrapidlyconvergesfortheregistration . wetestedourmethodon severaldatasets andtheexperimentalresultsdemonstratetherobustnessandefficiencyof , ourmethod .
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