A Graph Framework for Manifold-Valued Data (Q4686918)

scientific article; zbMATH DE number 6951327

Language	Label	Description	Also known as
English	A Graph Framework for Manifold-Valued Data	scientific article; zbMATH DE number 6951327

Statements

instance of

scholarly article

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title

A Graph Framework for Manifold-Valued Data (English)

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SIAM Journal on Imaging Sciences

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publication date

10 October 2018

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full work available at URL

https://arxiv.org/abs/1702.05293

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zbMATH Keywords

$p$-Laplacian

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manifold-valued data

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finite weighted graphs

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total variation on manifolds

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nonlocal PDEs

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nonsmooth variational methods

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describes a project that uses

Camino

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MVIRT

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MaRDI profile type

MaRDI publication profile

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cites work

Q5433140

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On the Convergence of Gradient Descent for Finding the Riemannian Center of Mass

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Morphological Processing of Univariate Gaussian Distribution-Valued Images Based on Poincaré Upper-Half Plane Representation

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Image labeling by assignment

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Proximal calculus on Riemannian manifolds

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Computing Medians and Means in Hadamard Spaces

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Convex analysis and optimization in Hadamard spaces

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A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images

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Convex variational methods on graphs for multiclass segmentation of high-dimensional data and point clouds

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Active contour models for manifold valued image segmentation

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Restoration of manifold-valued images by half-quadratic minimization

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Iterative multiplicative filters for data labeling

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Infimal Convolution Coupling of First and Second Order Differences on Manifold-Valued Images

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Second Order Differences of Cyclic Data and Applications in Variational Denoising

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A Parallel Douglas–Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds

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A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data

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Convergence rates of convex variational regularization

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Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images

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Image recovery via total variation minimization and related problems

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Total cyclic variation and generalizations

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On the $p$-Laplacian and $\infty$-Laplacian on Graphs with Applications in Image and Data Processing

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Subgradient algorithm on Riemannian manifolds

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Proximal Point Algorithm On Riemannian Manifolds

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Riemannian geometry for the statistical analysis of diffusion tensor data

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A dual algorithm for the solution of nonlinear variational problems via finite element approximation

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Continuum limit of total variation on point clouds

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Consistency of Cheeger and Ratio Graph Cuts

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Nonlocal Operators with Applications to Image Processing

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Q4144736

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Discrete Calculus

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$\varepsilon$-subgradient algorithms for locally Lipschitz functions on Riemannian manifolds

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Nonlinear multilayered representation of graph-signals

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A Nonlocal Denoising Algorithm for Manifold-Valued Images Using Second Order Statistics

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Q4360235

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Extinction and positivity of solutions of the $p$-Laplacian evolution equation on networks

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Analysis and Application of a Nonlocal Hessian

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Partial Difference Operators on Weighted Graphs for Image Processing on Surfaces and Point Clouds

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Q3836517

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Semigroup methods for evolution equations on networks

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The imbedding problem for Riemannian manifolds

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A Riemannian framework for tensor computing

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Augmented-Lagrangian regularization of matrix-valued maps

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Nonlinear total variation based noise removal algorithms

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A variational framework for region-based segmentation incorporating physical noise models

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Non-local discrete $\infty $-Poisson and Hamilton Jacobi equations. From stochastic game to generalized distances on images, meshes, and point clouds

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Q4310716

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Total Generalized Variation in Diffusion Tensor Imaging

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$\Gamma$-convergence of graph Ginzburg-Landau functionals

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Mean curvature, threshold dynamics, and phase field theory on finite graphs

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Consistency of spectral clustering

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Total Variation Regularization for Manifold-Valued Data

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Identifiers

zbMATH Open document ID

1398.65132

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DOI

10.1137/17M1118567

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4686918