Bayesian Trajectory Optimization for Magnetic Resonance Imaging

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1、BayesianTrajectoryOptimizationforMagneticResonanceImagingSequencesMatthiasSeegerSaarlandUniversityandMPIforInformatics,SaarbrückenJointworkwithHannesNickisch,RolfPohmann,BernhardSchölkopfMaxPlanckInstituteforBiologicalCybernetics,Tübingen26February2009UNIVER

2、SITÄTDESSAARLANDESSeeger(MMCI)BayesianMRIOptimization26February20091/10CompressedSensingCompressedSensingSparseLinearModelSignalNoisez}

3、{z}

4、{y=Xu+"

5、{z}DesignSeeger(MMCI)BayesianMRIOptimization26February20092/10CompressedSensingCompressedSensingSparseEstimati

6、onFixedX,y.SparsityPriorz}

7、{u^=argmaxP(yju)P(u)uSeeger(MMCI)BayesianMRIOptimization26February20092/10CompressedSensingCompressedSensingSeeger(MMCI)BayesianMRIOptimization26February20092/10CompressedSensingCompressedSensingSparseEliminationSeeger(MMCI)Bayesi

8、anMRIOptimization26February20092/10CompressedSensingCompressedSensingSparseEliminationImprovedSensingSeeger(MMCI)BayesianMRIOptimization26February20092/10CompressedSensingCompressedSensingImprovedSensingSeeger(MMCI)BayesianMRIOptimization26February20092/10Co

9、mpressedSensingCompressedSensingImprovedSensingSeeger(MMCI)BayesianMRIOptimization26February20092/10CompressedSensingCompressedSensingImprovedSensingSeeger(MMCI)BayesianMRIOptimization26February20092/10CompressedSensingCompressedSensingImprovedSensingSeeger(

10、MMCI)BayesianMRIOptimization26February20092/10CompressedSensingCompressedSensingImprovedSensingSeeger(MMCI)BayesianMRIOptimization26February20092/10CompressedSensingDesignOptimizationNeedsUncertaintyDesignScoreHowinformativeisXforreconstructionofu?Seeger(MMC

11、I)BayesianMRIOptimization26February20093/10CompressedSensingDesignOptimizationNeedsUncertaintySparseEstimationDesignScoreHowinformativeisXforreconstructionofu?PointestimatenotenoughSeeger(MMCI)BayesianMRIOptimization26February20093/10CompressedSensingDesignO

12、ptimizationNeedsUncertaintySparseEstimationDesignScoreHowinformativeisXforreconstructionofu?PointestimatenotenoughReconstructionuncertaintyHowgoodareyou?Howcouldyouimprove?Seeger(MMCI)BayesianMR