Constructing Diffeomorphic Representations of Non-rigid Registrations of Medical Images
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Summary
It is demonstrated that the non-Euclidean metric inherent in this representation is superior to the usual ad hoc Euclidean metrics in that it enables more accurate classification of legal and illegal variations.
- Type
- article
- Published
- 2003-07-20
- Cited by
- 29
- References
- 24
- OpenAlex
- https://openalex.org/W1810022474
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:12080989
Keywords
Diffeomorphism, Euclidean geometry, Representation (politics), Metric (unit), Class (philosophy)
References
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- Variational problems on ows of di eomorphisms for image matching
- Diffeomorphisms Groups and Pattern Matching in Image Analysis
- Elastically Deforming 3D Atlas to Match Anatomical Brain Images
- Visualization in biomedical computing
- Landmark matching via large deformation diffeomorphisms
- Parametrization of Closed Surfaces for 3-D Shape Description
- Active Shape Models-Their Training and Application
- Measuring Geodesic Distances on the Space of Bounded Diffeomorphisms
- Sulle funzioni di green d’ordinem
- Average Brain Models: A Convergence Study
- Hybrid boundary-medial shape description for biologically variable shapes
- Nonrigid registration using free-form deformations: application to breast MR images
- Boundary Finding with Parametrically Deformable Models
- Segmentation, registration, and measurement of shape variation via image object shape
- Medical Image Computing and Computer-Assisted Intervention – MICCAI 2001
- Computer Vision — ECCV 2002
- Injectivity Conditions of 2D and 3D Uniform Cubic B-Spline Functions
- Fast Fluid Registration of Medical Images
- Design of a Statistical Model of Brain Shape
Cited by
- Transitive inverse-consistent image registration and evaluation
- A Non-Euclidean Metric for the Classification of Variations in Medical Images
- Generative Interpretation of Medical Images
- Groupwise and Local Analysis of Image Warps
- Measuring Brain Variability Via Sulcal Lines Registration: A Diffeomorphic Approach
- Discrete Mechanics and Optimal Control for Image Registration
- Quantifying Anatomical Shape Variations in Neurological Disorders
- A minimum description length objective function for groupwise non-rigid image registration
- Large deformation diffeomorphisms with application to optic flow
- Image Registration with Guaranteed Displacement Regularity
- Physics-based elastic registration using non-radial basis functions and including landmark localization uncertainties
- Probabilistic Models for Shapes as Continuous Curves
- Laplace approximation of transition densities posed as Brownian expectations
- Direct LDDMM of Discrete Currents with Adaptive Finite Elements
- Ill-posed medicine—an introduction to image registration
- Lagrangian frame diffeomorphic image registration: Morphometric comparison of human and chimpanzee cortex
- Constructing diffeomorphic representations for the groupwise analysis of nonrigid registrations of medical images
- A Statistical Approach to Large Deformation Diffeomorphisms
- Left ventricle functional analysis in 2D+t contrast echocardiography within an atlas−based deformable template model framework
- Variational Image Registration Using Inhomogeneous Regularization
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