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A Nonlinear Elastic Shape Averaging Approach
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Automatic Construction of 3D Statistical Deformation Models Using Non-rigid Registration
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MAP MRF Joint Segmentation and Registration
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Simultaneous Population Based Image Alignment for Template Free Spatial Normalisation of Brain Anatomy
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Groupwise Non-rigid Registration Using Polyharmonic Clamped-Plate Splines
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Similarity Metrics for Groupwise Non-rigid Registration
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Introduction to shape optimization
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Elliptic Partial Differential Equations of Second Order
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Convexity conditions and existence theorems in nonlinear elasticity
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A variational method in image segmentation: Existence and approximation results
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A Multigrid Approach for Minimizing a Nonlinear Functional for Digital Image Matching
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Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics
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A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud Data
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Enforcing local context into shape statistics
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Medical Image Registration and Interpolation by Optical Flow with Maximal Rigidity
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Shape Metrics Based on Elastic Deformations
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Non-linear elastic deformations
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Warping Strategies for Intersubject Registration
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Image Registration and the Construction of Multidimensional Brain Atlases
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Symmetric image registration
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Multi-modal volume registration by maximization of mutual information
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A variational framework for integrating segmentation and registration through active contours
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Global invertibility of Sobolev functions and the interpenetration of matter
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Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
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3D brain mapping using a deformable neuroanatomy
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Towards fast non-rigid registration
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Volumetric transformation of brain anatomy
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Deformable templates using large deformation kinematics
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Statistics of shape via principal geodesic analysis on Lie groups
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Robust statistics on Riemannian manifolds via the geometric median
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Gromov-Hausdorff distances in Euclidean spaces
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Distance-Based Shape Statistics
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A level set algorithm for minimizing the Mumford-Shah functional in image processing
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Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
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Mathematical Foundations of Elasticity
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Mapping of hyperelastic deformable templates using the finite element method
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Phase‐Field Relaxation of Topology Optimization with Local Stress Constraints
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A Variational Approach to Nonrigid Morphological Image Registration
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Well-Posedness of Two Nonrigid Multimodal Image Registration Methods
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Computable Elastic Distances Between Shapes
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On the Metrics and Euler-Lagrange Equations of Computational Anatomy
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Mathematical Elasticity, Volume I: Three-Dimensional Elasticity
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Registration-Based Morphing of Active Contours for Segmentation of CT Scans
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Segmentation of image: by variational methods: A constructive approach
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Variational Methods in Shape Analysis
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Variational Methods in Shape Analysis
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PDE-Constrained Shape Optimization: Towards Product Shape Spaces and Stochastic Models
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A Survey of Topology and Geometry-Constrained Segmentation Methods in Weakly Supervised Settings
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PDE-Constrained Shape Optimization: Toward Product Shape Spaces and Stochastic Models
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A Survey of Topology and Geometry-Constrained Segmentation Methods in Weakly Supervised Settings
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Variational Methods in Image Matching and Motion Extraction
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An Elasticity Approach to Principal Modes of Shape Variation
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Groupwise Shape Registration Based on Entropy Minimization
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The Mean Boundary Curve of Anatomical Objects
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Variational Method for Computing Average Images of Biological Organs
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Discrete Geodesic Regression in Shape Space
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Resolution Conversion of Volumetric Array Data for Multimodal Medical Image Analysis
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Suitable Spaces for Shape Optimization
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Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies
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Elastic 3D–2D Image Registration
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Mathematical modelling of image processing problems : theoretical studies and applications to joint registration and segmentation
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