Computable Elastic Distances Between Shapes
From MaRDI portal
Publication:4388837
DOI10.1137/S0036139995287685zbMath0907.68158OpenAlexW2093976044WikidataQ56624038 ScholiaQ56624038MaRDI QIDQ4388837
Publication date: 10 May 1998
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036139995287685
Related Items
Shape analysis on Lie groups with applications in computer animation, Landmark-guided elastic shape analysis of human character motions, Evaluation and prediction of polygon approximations of planar contours for shape analysis, Probability measures on infinite-dimensional Stiefel manifolds, Riemannian optimization for registration of curves in elastic shape analysis, A manifold of planar triangular meshes with complete Riemannian metric, An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach, Statistical inference on the Hilbert sphere with application to random densities, The square root normal field distance and unbalanced optimal transport, Optimal Reparametrizations in the Square Root Velocity Framework, Large deformation diffeomorphic metric curve mapping, Intrinsic Bayesian active contours for extraction of object boundaries in images, Shape of elastic strings in Euclidean space, A shape representation with elastic quadratic polynomials-preservation of high curvature points under noisy conditions, Harmonic embeddings for linear shape analysis, The Euler-Poincaré theory of metamorphosis, Statistical shape analysis of brain arterial networks (BAN), Metric Spaces of Shapes and Geometries Constructed from Set Parametrized Functions, A New Variational Model for Shape Graph Registration with Partial Matching Constraints, Comparing curves in homogeneous spaces, Computing distances and geodesics between manifold-valued curves in the SRV framework, Application of the Fisher-Rao metric to ellipse detection, On shape of plane elastic curves, Generalized gradients: priors on minimization flows, Sobolev active contours, A PDE-Based Method for Shape Registration, Unnamed Item, Nonparametric estimation of means on Hilbert manifolds and extrinsic analysis of mean shapes of contours, An \(H^2\) Riemannian metric on the space of planar curves modulo similitudes, Intrinsic sample mean in the space of planar shapes, A linear elastic force optimization model for shape matching, On restricting planar curve evolution to finite dimensional implicit subspaces with non-Euclidean metric, A novel kernel correlation model with the correspondence estimation, $H^{o}$-type Riemannian metrics on the space of planar curves, A computational model of multidimensional shape, An elasticity-based covariance analysis of shapes, A continuum mechanical approach to geodesics in shape space, Designing metrics; the delta metric for curves, A relaxed approach for curve matching with elastic metrics, Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves, Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric, On the \(H^1 (ds^{\gamma})\)-gradient flow for the length functional, Fractional Sobolev metrics on spaces of immersed curves, Gromov-Wasserstein distances and the metric approach to object matching, A discrete framework to find the optimal matching between manifold-valued curves, Shape analysis of surfaces using general elastic metrics, Supervised classification of geometrical objects by integrating currents and functional data analysis, A metric on shape space with explicit geodesics, Constructing reparameterization invariant metrics on spaces of plane curves, Curvature based shape detection, Shape Analysis of Functional Data, Sub-Riemannian Methods in Shape Analysis, Biomedical Applications of Geometric Functional Data Analysis, Fractional Sobolev metrics on spaces of immersions, Aggregated pairwise classification of elastic planar shapes, Statistical Modeling of Curves Using Shapes and Related Features, Bayesian registration of functions and curves, Geodesic regression and the theory of least squares on Riemannian manifolds, Elastic statistical shape analysis of biological structures with case studies: a tutorial, Generative models for functional data using phase and amplitude separation, \(C^1\) interpolating Bézier path on Riemannian manifolds, with applications to 3D shape space, Geodesics in infinite dimensional Stiefel and Grassmann manifolds, Shape Spaces, Variational Methods in Shape Analysis, Closest paths in graph drawings under an elastic metric, Shape metrics based on elastic deformations, Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics, Overview of the geometries of shape spaces and diffeomorphism groups, Elastic Shape Analysis of Functions, Curves and Trajectories, Elastic Shape Analysis of Surfaces and Images, Riemannian Structures on Shape Spaces: A Framework for Statistical Inferences, Modeling Planar Shape Variation via Hamiltonian Flows of Curves, Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics, Elastic shape analysis of planar objects using tensor field representations, A numerical framework for elastic surface matching, comparison, and interpolation, Tangent functional canonical correlation analysis for densities and shapes, with applications to multimodal imaging data, A kernel regression procedure in the 3D shape space with an application to online sales of children's wear, Automatic Detection and Uncertainty Quantification of Landmarks on Elastic Curves, On random tomography with unobservable projection angles, Least action principles for incompressible flows and geodesics between shapes, Estimation of a growth development with partial diffeomorphic mappings, Bayesian shape-constrained density estimation, A new extrinsic sample mean in the shape space with applications to the boundaries of anatomical structures, Amplitude mean of functional data on \(\mathbb{S}^2\) and its accurate computation, The statistical analysis of dynamic curves and sections, Do ideas have shape? Idea registration as the continuous limit of artificial neural networks
