Sub-Riemannian mean curvature flow for image processing (Q2797778)

scientific article; zbMATH DE number 6561509

Language	Label	Description	Also known as
English	Sub-Riemannian mean curvature flow for image processing	scientific article; zbMATH DE number 6561509

Statements

instance of

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SIAM Journal on Imaging Sciences

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publication date

31 March 2016

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full work available at URL

https://arxiv.org/abs/1504.03710

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zbMATH Keywords

image completion

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sub-Riemannian models

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existence result

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ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP

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Q3368488

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Anthropomorphic Image Reconstruction via Hypoelliptic Diffusion

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Hypoelliptic diffusion and human vision: a semidiscrete new twist

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Generalized Mean Curvature Flow in Carnot Groups

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Regularity of mean curvature flow of graphs on Lie groups free up to step 2

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Regularity of non-characteristic minimal graphs in the Heisenberg group $\mathbb{H}^{1}$

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An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem

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Q4937154

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Q5489523

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Regularity of $C^{1}$ smooth surfaces with prescribed $p$-mean curvature in the Heisenberg group

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Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

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Q4676076

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Image Processing through Reaction Combined with Nonlinear Diffusion

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User’s guide to viscosity solutions of second order partial differential equations

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Convergent difference schemes for nonlinear parabolic equations and mean curvature motion

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Sub-Riemannian calculus on hypersurfaces in Carnot groups

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Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow

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Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow

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Evolution by mean curvature flow in sub-Riemannian geometries: a stochastic approach

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Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part I: Linear left-invariant diffusion equations on $SE(2)$

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Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part II: Nonlinear left-invariant diffusions on invertible orientation scores

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Motion of level sets by mean curvature. I

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On the characterization of $p$-harmonic functions on the Heisenberg group by mean value properties

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Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups

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Regularity of $C^1$ surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds

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Q4718347

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Connections and Curvature in sub-Riemannian geometry

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Constant mean curvature surfaces in sub-Riemannian geometry

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The visual cortex is a contact bundle

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Q3843833

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Hypoelliptic second order differential equations

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The Curve of Least Energy

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Viscosity solutions of nonlinear second-order partial differential equations in hilbert spaces

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The Poincaré inequality for vector fields satisfying Hörmander's condition

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Images as embedded maps and minimal surfaces: Movies, color, texture, and volumetric medical images

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Representation of local geometry in the visual system

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Q5548525

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Q4295435

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Balls and metrics defined by vector fields. I: Basic properties

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Filtering, segmentation and depth

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Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

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$H$-minimal graphs of low regularity in $\mathbb H^1$

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Highly corrupted image inpainting through hypoelliptic diffusion

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Area-stationary surfaces in the Heisenberg group $\mathbb H^1$

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Hypoelliptic differential operators and nilpotent groups

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The symplectic structure of the primary visual cortex

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Subjective surfaces: A geometric model for boundary completion

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Fast anisotropic smoothing of multi-valued images using curvature-preserving PDE's

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The Aronsson equation for absolute minimizers of $\{L^\infty \}$-functionals associated with vector fields satisfying Hörmander’s condition

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Viscosity convex functions on Carnot groups

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Q4375274

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Coherence-enhancing diffusion filtering.

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title

Sub-Riemannian mean curvature flow for image processing (English)

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Identifiers

zbMATH Open document ID

1352.68272

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DOI

10.1137/15M1013572

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2797778