Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Statistical physics, mixtures of distributions, and the EM algorithm
Neural Computation
Active shape models—their training and application
Computer Vision and Image Understanding
Spatial transformation and registration of brain images using elastically deformable models
Computer Vision and Image Understanding
A Framework for Automatic Landmark Identification Using a New Method of Nonrigid Correspondence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Average brain models: a convergence study
Computer Vision and Image Understanding - Special issue on analysis of volumetric image
Automatic Construction of 2D Shape Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pairwise Data Clustering by Deterministic Annealing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Boundary Finding with Prior Shape and Smoothness Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Automatic Construction of 3D Statistical Deformation Models Using Non-rigid Registration
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
A Feature Registration Framework Using Mixture Models
MMBIA '00 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis
MMBIA '00 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis
Bee Brains, B-Splines and Computational Democracy: Generating an Average Shape Atlas
MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
Learning an Atlas from Unlabeled Point-Sets
MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
Landmark matching via large deformation diffeomorphisms
IEEE Transactions on Image Processing
Translation-invariant mixture models for curve clustering
Proceedings of the ninth ACM SIGKDD international conference on Knowledge discovery and data mining
Geodesic Matching with Free Extremities
Journal of Mathematical Imaging and Vision
Registration of Challenging Image Pairs: Initialization, Estimation, and Decision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Spatial Consistency in 3D Tract-Based Clustering Statistics
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Group-Wise Point-Set Registration Using a Novel CDF-Based Havrda-Charvát Divergence
International Journal of Computer Vision
Improving the reliability of shape comparison by perturbation
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
A quadratic programming based cluster correspondence projection algorithm for fast point matching
Computer Vision and Image Understanding
Affine iterative closest point algorithm for point set registration
Pattern Recognition Letters
Shape registration by simultaneously optimizing representation and transformation
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Statistical atlases of bone anatomy: construction, iterative improvement and validation
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Shape analysis using a point-based statistical shape model built on correspondence probabilities
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
A globally optimal approach for 3D elastic motion estimation from stereo sequences
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
An efficient EM-ICP algorithm for symmetric consistent non-linear registration of point sets
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part II
GPU acceleration of robust point matching
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part III
Reconstruction of 4D-CT from a single free-breathing 3D-CT by spatial-temporal image registration
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Simultaneous nonrigid registration of multiple point sets and atlas construction
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Groupwise rigid registration of wrist bones
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
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Abstract--One of the key challenges in deformable shape modeling is the problem of estimating a meaningful average or mean shape from a set of unlabeled shapes. We present a new joint clustering and matching algorithm that is capable of computing such a mean shape from multiple shape samples which are represented by unlabeled point-sets. An iterative bootstrap process is used wherein multiple shape sample point-sets are nonrigidly deformed to the emerging mean shape, with subsequent estimation of the mean shape based on these nonrigid alignments. The process is entirely symmetric with no bias toward any of the original shape sample point-sets. We believe that this method can be especially useful for creating atlases of various shapes present in medical images. We have applied the method to create mean shapes from nine hand-segmented 2D corpus callosum data sets and 10 hippocampal 3D point-sets.