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Modeling Anatomical
Variability in Populations


        Polina Golland
             MIT
Biomedical Image Analysis
        (MRI or CT)
• Compared to Computer Vision:
   – More constrained problem, defined metrics of success
   – Understanding and interpretation
      » Population studies vs. patient-specific predictions


• Examples:
   – Image segmentation
      » Well defined organ/tissue, goal: match or exceed expert
   – Image registration/matching
      » Metric: how well it supports localization
   – fMRI analysis
      » How well the model predicts behavior
Common solutions
• Geometry and Statistics
   – Geometric transformations
      » real deformation and capture variability
   – Probabilistic generative models
      » variability of images (MRI, CT) and signals (fMRI)
• Examples:
   –   Active shape/appearance models (Cootes and Taylor)
   –   Mixture models with spatial priors (Wells, Van Leemput)
   –   Mutual Information registration (Viola and Wells)
   –   Diffeomorphic transformations (Miller, Thirion, Pennec)
   –   Hierarchical models (Friston, Penny, Worsley, Genovese, Wells)


• Outstanding challenges
   – Patient-specific predictions
   – Anatomical variability
Anatomical Shape Analysis
• Image-based descriptors of shape
• Model of differences between two populations
   – Discriminative modeling
• Explicit representation of differences
   – Perturbation analysis



   Hippocampal shape in schizophrenia        z   x




                                             NIPS’01, MedIA’05
Anatomical Heterogeneity
• Population as a collection of homogeneous sub-groups
   – Correlate clinical and demographic information with the partition
• Mixture model
   – Clustering of subjects into sub-populations
   – Average template for each sub-population
   – Simultaneously estimate the partition and the templates
      » Generalized EM algorithm with image registration

       Anatomical templates in aging




    Young          Middle           Old
                                                           IEEE TMI ’09,’10
Nonparametric Atlases for
   Segmentation: Left Atrium
• Left atrium segmentation:




• Spatial prior for ablation scars:




                              MICCAI Workshop on Statistical Atlases and
                              Computational Models of the Heart ‘10
Functional Organization of the Brain
• Cluster functional response profiles        Body

   – Hierarchical model for population
                                              Face
   – Enables discovery of
      » Novel functional systems                ?
      » Novel stimulus categories
   – Removes the need for spatial alignment   Scene
   – Enables novel fMRI experiments




                                                      Supported by NSF
                                                          CRCNS


                                                          NIPS’10,
                                                        NeuroImage’10
Lessons Learned

• Not a computer vision problem, but an interesting problem
  that involves images
   – Need to understand the problem and the goals
   – Work closely with the scientist


• Well defined goals and (at times painful) ways to validate
   – Might change overtime


• Closely related to computer vision, machine learning and
  probabilistic inference

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Fcv appli science_golland

  • 1. Modeling Anatomical Variability in Populations Polina Golland MIT
  • 2. Biomedical Image Analysis (MRI or CT) • Compared to Computer Vision: – More constrained problem, defined metrics of success – Understanding and interpretation » Population studies vs. patient-specific predictions • Examples: – Image segmentation » Well defined organ/tissue, goal: match or exceed expert – Image registration/matching » Metric: how well it supports localization – fMRI analysis » How well the model predicts behavior
  • 3. Common solutions • Geometry and Statistics – Geometric transformations » real deformation and capture variability – Probabilistic generative models » variability of images (MRI, CT) and signals (fMRI) • Examples: – Active shape/appearance models (Cootes and Taylor) – Mixture models with spatial priors (Wells, Van Leemput) – Mutual Information registration (Viola and Wells) – Diffeomorphic transformations (Miller, Thirion, Pennec) – Hierarchical models (Friston, Penny, Worsley, Genovese, Wells) • Outstanding challenges – Patient-specific predictions – Anatomical variability
  • 4. Anatomical Shape Analysis • Image-based descriptors of shape • Model of differences between two populations – Discriminative modeling • Explicit representation of differences – Perturbation analysis Hippocampal shape in schizophrenia z   x NIPS’01, MedIA’05
  • 5. Anatomical Heterogeneity • Population as a collection of homogeneous sub-groups – Correlate clinical and demographic information with the partition • Mixture model – Clustering of subjects into sub-populations – Average template for each sub-population – Simultaneously estimate the partition and the templates » Generalized EM algorithm with image registration Anatomical templates in aging Young Middle Old IEEE TMI ’09,’10
  • 6. Nonparametric Atlases for Segmentation: Left Atrium • Left atrium segmentation: • Spatial prior for ablation scars: MICCAI Workshop on Statistical Atlases and Computational Models of the Heart ‘10
  • 7. Functional Organization of the Brain • Cluster functional response profiles Body – Hierarchical model for population Face – Enables discovery of » Novel functional systems ? » Novel stimulus categories – Removes the need for spatial alignment Scene – Enables novel fMRI experiments Supported by NSF CRCNS NIPS’10, NeuroImage’10
  • 8. Lessons Learned • Not a computer vision problem, but an interesting problem that involves images – Need to understand the problem and the goals – Work closely with the scientist • Well defined goals and (at times painful) ways to validate – Might change overtime • Closely related to computer vision, machine learning and probabilistic inference