A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Iterative point matching for registration of free-form curves and surfaces
International Journal of Computer Vision
Rigid, affine and locally affine registration of free-form surfaces
International Journal of Computer Vision
Computable elastic distances between shapes
SIAM Journal on Applied Mathematics
Variational problems on flows of diffeomorphisms for image matching
Quarterly of Applied Mathematics
Computational anatomy: an emerging discipline
Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Improved Fast Gauss Transform and Efficient Kernel Density Estimation
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Analysis of Planar Shapes Using Geodesic Paths on Shape Spaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms
International Journal of Computer Vision
Large Deformation Diffeomorphic Metric Mapping of Fiber Orientations
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
2D-Shape Analysis Using Conformal Mapping
International Journal of Computer Vision
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
Elastic-string models for representation and analysis of planar shapes
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Shape matching by variational computation of geodesics on a manifold
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
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
Landmark matching via large deformation diffeomorphisms
IEEE Transactions on Image Processing
Elastic Morphing of 2D and 3D Objects on a Shape Manifold
ICIAR '09 Proceedings of the 6th International Conference on Image Analysis and Recognition
Lung CT registration combining intensity, curves and surfaces
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Journal of Mathematical Imaging and Vision
A Continuum Mechanical Approach to Geodesics in Shape Space
International Journal of Computer Vision
Approximations of the diffeomorphic metric and their applications in shape learning
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
Large deformation diffeomorphic metric mapping of orientation distribution functions
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
Metrics, connections, and correspondence: the setting for groupwise shape analysis
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
A diffeomorphic matching based characterization of the pelvic organ dynamics
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
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
STACOM'11 Proceedings of the Second international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching
International Journal of Computer Vision
SIAM Journal on Imaging Sciences
Joint t1 and brain fiber log-demons registration using currents to model geometry
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Sparse Adaptive Parameterization of Variability in Image Ensembles
International Journal of Computer Vision
Journal of Mathematical Imaging and Vision
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
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We present a matching criterion for curves and integrate it into the large deformation diffeomorphic metric mapping (LDDMM) scheme for computing an optimal transformation between two curves embedded in Euclidean space 驴 d . Curves are first represented as vector-valued measures, which incorporate both location and the first order geometric structure of the curves. Then, a Hilbert space structure is imposed on the measures to build the norm for quantifying the closeness between two curves. We describe a discretized version of this, in which discrete sequences of points along the curve are represented by vector-valued functionals. This gives a convenient and practical way to define a matching functional for curves. We derive and implement the curve matching in the large deformation framework and demonstrate mapping results of curves in 驴2 and 驴3. Behaviors of the curve mapping are discussed using 2D curves. The applications to shape classification is shown and experiments with 3D curves extracted from brain cortical surfaces are presented.