Elements of information theory
Elements of information theory
Computational anatomy: an emerging discipline
Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Average brain models: a convergence study
Computer Vision and Image Understanding - Special issue on analysis of volumetric image
Group Actions, Homeomorphisms, and Matching: A General Framework
International Journal of Computer Vision - Special issue on statistical and computational theories of vision: Part II
Landmark matching via large deformation diffeomorphisms
IEEE Transactions on Image Processing
Symmetric Non-rigid Registration: A Geometric Theory and Some Numerical Techniques
Journal of Mathematical Imaging and Vision
On the Manifold Structure of the Space of Brain Images
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Efficient selection of the most similar image in a database for critical structures segmentation
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Deformable object modelling and matching
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part I
A review of atlas-based segmentation for magnetic resonance brain images
Computer Methods and Programs in Biomedicine
Efficient probabilistic and geometric anatomical mapping using particle mesh approximation on GPUs
Journal of Biomedical Imaging - Special issue on Parallel Computation in Medical Imaging Applications
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Fast parallel unbiased diffeomorphic atlas construction on multi-graphics processing units
EG PGV'09 Proceedings of the 9th Eurographics conference on Parallel Graphics and Visualization
Sparse Adaptive Parameterization of Variability in Image Ensembles
International Journal of Computer Vision
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The construction of population atlases is a key issue in medical image analysis, and particularly in brain mapping. Large sets of images are mapped into a common coordinate system to study intrapopulation variability and inter-population differences, to provide voxelwise mapping of functional sites, and to facilitate tissue and object segmentation via registration of anatomical labels. We formulate the unbiased atlas construction problem as a Fréchet mean estimation in the space of diffeomorphisms via large deformations metric mapping. A novel method for computing constant speed velocity fields and an analysis of atlas stability and robustness using entropy are presented. We address the question: how many images are required to build a stable brain atlas?