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Total roto-translational variation (Q2424849)

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Language	Label	Description	Also known as
English	Total roto-translational variation	scientific article

Statements

scholarly article

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Total roto-translational variation (English)

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Antonin Chambolle

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Numerische Mathematik

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publication date

25 June 2019

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full work available at URL

https://arxiv.org/abs/1709.09953

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zbMATH Keywords

Euler's elastica

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image processing

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roto-translation space

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finite elements approximation

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primal-dual algorithm

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MaRDI profile type

MaRDI publication profile

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Curvature-dependent energies

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Curvature-dependent energies: the elastic case

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A direct variational approach to a problem arising in image reconstruction

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Augmented Lagrangian method for an Euler's elastica based segmentation model that promotes convex contours

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Filling-in by joint interpolation of vector fields and gray levels

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Disocclusion by Joint Interpolation of Vector Fields and Gray Levels

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A PDE Approach to Data-Driven Sub-Riemannian Geodesics in $SE$(2)

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Characterization and representation of the lower semicontinuous envelope of the elastica functional

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On the approximation of the elastica functional in radial symmetry

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AN IMAGE SEGMENTATION VARIATIONAL MODEL WITH FREE DISCONTINUITIES AND CONTOUR CURVATURE

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Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist

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Curve cuspless reconstruction<i>via</i>sub-Riemannian geometry

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Integral representation of convex functions on a space of measures

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Convex relaxation of a class of vertex penalizing functionals

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A Convex, Lower Semicontinuous Approximation of Euler's Elastica Energy

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A first-order primal-dual algorithm for convex problems with applications to imaging

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On the ergodic convergence rates of a first-order primal-dual algorithm

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Euler's Elastica and Curvature-Based Inpainting

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Mathematical Models for Local Nontexture Inpaintings

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Global minimum for a Finsler elastica minimal path approach

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Sub-Riemannian Mean Curvature Flow for Image Processing

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Existence, regularity and structure of confined elasticae

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Minimizing functionals depending on surfaces and their curvatures: A class of variational problems in the setting of generalized Gauss graphs

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Special generalized Gauss graphs and their application to minimization of functional involving curvatures.

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Association fields via cuspless sub-Riemannian geodesics in SE(2)

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Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis

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Contrast Driven Elastica for Image Segmentation

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Segmentation with depth but without detecting junctions

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Digital inpainting based on the Mumford–Shah–Euler image model

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ADMM and Non-convex Variational Problems

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Some Facts About Operator-Splitting and Alternating Direction Methods

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Representation of local geometry in the visual system

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Curvature varifolds with boundary

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A coarea-type formula for the relaxation of a generalized elastica functional

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On a variational theory of image amodal completion

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Continuity results for TV-minimizers

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Anisotropic Fast-Marching on Cartesian Grids Using Lattice Basis Reduction

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Maxwell strata in sub-Riemannian problem on the group of motions of a plane

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Filtering, segmentation and depth

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Image Processing in the Semidiscrete Group of Rototranslations

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Integrals which are convex functionals. II

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The symplectic structure of the primary visual cortex

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A linear framework for region-based image segmentation and inpainting involving curvature penalization

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The Elastic Ratio: Introducing Curvature Into Ratio-Based Image Segmentation

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On a Linear Programming Approach to the Discrete Willmore Boundary Value Problem and Generalizations

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Left-invariant evolutions of wavelet transforms on the similitude group

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A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method

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Mathematische Bildverarbeitung mit Ideen aus der Natur

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Alternating Direction Method of Multiplier for Euler’s Elastica-Based Denoising

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A Fast Relaxed Normal Two Split Method and an Effective Weighted TV Approach for Euler's Elastica Image Inpainting

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Augmented Lagrangian method for a mean curvature based image denoising model

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Identifiers

zbMATH Open document ID

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10.1007/s00211-019-01026-w

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2424849

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