Spatial transformation and registration of brain images using elastically deformable models
Computer Vision and Image Understanding
Variational problems on flows of diffeomorphisms for image matching
Quarterly of Applied Mathematics
3D Statistical Shape Models Using Direct Optimisation of Description Length
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Geodesic Interpolating Splines
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
A new point matching algorithm for non-rigid registration
Computer Vision and Image Understanding - Special issue on nonrigid image registration
3D brain surface matching based on geodesics and local geometry
Computer Vision and Image Understanding - Special issue on nonrigid image registration
Discrete exterior calculus
Landmark Matching via Large Deformation Diffeomorphisms on the Sphere
Journal of Mathematical Imaging and Vision
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Landmark matching via large deformation diffeomorphisms
IEEE Transactions on Image Processing
Transport of Relational Structures in Groups of Diffeomorphisms
Journal of Mathematical Imaging and Vision
Large Deformation Diffeomorphic Metric Curve Mapping
International Journal of Computer Vision
Sparse Approximation of Currents for Statistics on Curves and Surfaces
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
An Intrinsic Framework for Analysis of Facial Surfaces
International Journal of Computer Vision
Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy
Emerging Trends in Visual Computing
A Statistical Model of White Matter Fiber Bundles Based on Currents
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Spatiotemporal Atlas Estimation for Developmental Delay Detection in Longitudinal Datasets
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Deformation-driven shape correspondence
SGP '08 Proceedings of the Symposium on Geometry Processing
Squigraphs for fine and compact modeling of 3-D shapes
IEEE Transactions on Image Processing
Cortical hemisphere registration via large deformation diffeomorphic metric curve mapping
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Measuring brain variability via sulcal lines registration: a diffeomorphic approach
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Atlas generation for subcortical and ventricular structures with its applications in shape analysis
IEEE Transactions on Image Processing
Atlas-based reduced models of blood flows for fast patient-specific simulations
STACOM'10/CESC'10 Proceedings of the First international conference on Statistical atlases and computational models of the heart, and international conference on Cardiac electrophysiological simulation challenge
Metrics for uncertainty analysis and visualization of diffusion tensor images
MIAR'10 Proceedings of the 5th international conference on Medical imaging and augmented reality
A Bayesian generative model for surface template estimation
Journal of Biomedical Imaging
A Continuum Mechanical Approach to Geodesics in Shape Space
International Journal of Computer Vision
Comparing distributions and shapes using the kernel distance
Proceedings of the twenty-seventh annual symposium on Computational geometry
Estimation of smooth growth trajectories with controlled acceleration from time series shape data
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
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
Geodesic shooting and diffeomorphic matching via textured meshes
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
STACOM'11 Proceedings of the Second international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Image and Vision Computing
A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching
International Journal of Computer Vision
Polynomial regression on riemannian manifolds
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
Analysis of longitudinal shape variability via subject specific growth modeling
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
A kernel class allowing for fast computations in shape spaces induced by diffeomorphisms
Journal of Computational and Applied Mathematics
Sparse Adaptive Parameterization of Variability in Image Ensembles
International Journal of Computer Vision
Current-Based 4d shape analysis for the mechanical personalization of heart models
MCV'12 Proceedings of the Second international conference on Medical Computer Vision: recognition techniques and applications in medical imaging
Regional appearance modeling based on the clustering of intensity profiles
Computer Vision and Image Understanding
Comparison of point clouds acquired by 3d scanner
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Improving intensity-based lung CT registration accuracy utilizing vascular information
Journal of Biomedical Imaging - Special issue on Lung Imaging Data Analysis
Robust diffeomorphic mapping via geodesically controlled active shapes
Journal of Biomedical Imaging
Diffeomorphic spectral matching of cortical surfaces
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
FIMH'13 Proceedings of the 7th international conference on Functional Imaging and Modeling of the Heart
FIMH'13 Proceedings of the 7th international conference on Functional Imaging and Modeling of the Heart
Flexible Shape Matching with Finite Element Based LDDMM
International Journal of Computer Vision
Functional Currents: A New Mathematical Tool to Model and Analyse Functional Shapes
Journal of Mathematical Imaging and Vision
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We present a new method for computing an optimal deformation between two arbitrary surfaces embedded in Euclidean 3-dimensional space. Our main contribution is in building a norm on the space of surfaces via representation by currents of geometric measure theory. Currents are an appropriate choice for representations because they inherit natural transformation properties from differential forms. We impose a Hilbert space structure on currents, whose norm gives a convenient and practical way to define a matching functional. Using this Hilbert space norm, we also derive and implement a surface matching algorithm under the large deformation framework, guaranteeing that the optimal solution is a one-to-one regular map of the entire ambient space. We detail an implementation of this algorithm for triangular meshes and present results on 3D face and medical image data.