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Variational problems for maps of bounded variation with values inS 1

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-1015-3openalex-snapshot
Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/bf00251429openalex-snapshot
Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
inferredcites →https://doi.org/10.1007/bf01172794openalex-snapshot
The dirichlet energy of mappings with values into the sphere
inferredcites →https://doi.org/10.1007/bf01205490openalex-snapshot
Harmonic maps with defects
inferredcites →https://doi.org/10.1007/bf01301259openalex-snapshot
Integral representation on BV(?) of ?-limits of variational integrals
inferredcites →https://doi.org/10.1007/bf01934329openalex-snapshot
The Dirichlet integral for mappings between manifolds: Cartesian currents and homology
inferredcites →https://doi.org/10.1007/bf02098271openalex-snapshot
Variational problems on vector bundles
inferredcites →https://doi.org/10.1007/bf02412838openalex-snapshot
Su una teoria generale della misura (r − 1)-dimensionale in uno spazio adr dimensioni
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Co-area, liquid crystals, and minimal surfaces
inferredcites →https://doi.org/10.1007/bfb0089176openalex-snapshot
Sk—Valued maps with singularities
inferredcites →https://doi.org/10.1016/c2013-0-11200-7openalex-snapshot
Geometric Measure Theory
inferredcites →https://doi.org/10.1016/s0294-1449(16)30307-9openalex-snapshot
On a partial differential equation involving the Jacobian determinant
inferredcites →https://doi.org/10.1070/sm1972v017n04abeh001603openalex-snapshot
DIFFERENTIAL EQUATIONS ON GRAPHS
inferredcites →https://doi.org/10.1090/s0002-9939-1990-0969514-3openalex-snapshot
A General Chain Rule for Distributional Derivatives

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Emergence of Concentration Effects in the Variational Analysis of theN‐Clock Model
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Variational Problems and Partial Differential Equations on Implicit Surfaces
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Non-smooth Variational Regularization for Processing Manifold-Valued Data
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Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings
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Inpainting of Cyclic Data Using First and Second Order Differences
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Microstructures with finite surface energy: the two-well problem
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The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N
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Efficient alternating minimization methods for variational edge-weighted colorization models
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Total Cyclic Variation and Generalizations
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A Second-Order TV-Type Approach for Inpainting and Denoising Higher Dimensional Combined Cyclic and Vector Space Data
inferred← citeshttps://doi.org/10.1007/s10851-018-00869-6openalex-snapshot
Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors
inferred← citeshttps://doi.org/10.1007/s10851-018-0840-yopenalex-snapshot
Priors with Coupled First and Second Order Differences for Manifold-Valued Image Processing
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Nonlinear Partial Differential Equations in Image Processing
inferred← citeshttps://doi.org/10.1016/bs.hna.2019.07.005openalex-snapshot
Recent advances in denoising of manifold-valued images
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Solving variational problems and partial differential equations mapping into general target manifolds
inferred← citeshttps://doi.org/10.1016/j.jcp.2004.01.020openalex-snapshot
Numerical methods for minimization problems constrained to S1 and S2
inferred← citeshttps://doi.org/10.1023/a:1008152115986openalex-snapshot
Diffusion of General Data on Non-Flat Manifolds via Harmonic Maps Theory: The Direction Diffusion Case
inferred← citeshttps://doi.org/10.1051/cocv:2008026openalex-snapshot
Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
inferred← citeshttps://doi.org/10.1093/imaiai/iaaa010openalex-snapshot
Variational regularization of inverse problems for manifold-valued data
inferred← citeshttps://doi.org/10.1093/imaiai/iaw022openalex-snapshot
Jump-penalized least absolute values estimation of scalar or circle-valued signals
inferred← citeshttps://doi.org/10.1109/83.918563openalex-snapshot
Color image enhancement via chromaticity diffusion
inferred← citeshttps://doi.org/10.1109/iccv.1999.790423openalex-snapshot
Direction diffusion
inferred← citeshttps://doi.org/10.1109/iccv.2013.366openalex-snapshot
Total Variation Regularization for Functions with Values in a Manifold
inferred← citeshttps://doi.org/10.1109/icip.2000.899826openalex-snapshot
Chromaticity diffusion
inferred← citeshttps://doi.org/10.1109/tip.2007.903257openalex-snapshot
Variational Models for Image Colorization via Chromaticity and Brightness Decomposition
inferred← citeshttps://doi.org/10.1109/tmi.2016.2528820openalex-snapshot
Combined Tensor Fitting and TV Regularization in Diffusion Tensor Imaging Based on a Riemannian Manifold Approach
inferred← citeshttps://doi.org/10.1109/tpami.2017.2692779openalex-snapshot
Fast Median Filtering for Phase or Orientation Data
inferred← citeshttps://doi.org/10.1137/070680825openalex-snapshot
On p -Harmonic Map Heat Flows for $1\leqp<\infty$ and Their Finite Element Approximations
inferred← citeshttps://doi.org/10.1137/130951075openalex-snapshot
Total Variation Regularization for Manifold-Valued Data
inferred← citeshttps://doi.org/10.1137/140969993openalex-snapshot
Second Order Differences of Cyclic Data and Applications in Variational Denoising
inferred← citeshttps://doi.org/10.1137/15m101796xopenalex-snapshot
Exact Algorithms for $L^1$-TV Regularization of Real-Valued or Circle-Valued Signals
inferred← citeshttps://doi.org/10.1137/15m101988xopenalex-snapshot
A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images
inferred← citeshttps://doi.org/10.1137/17m1147597openalex-snapshot
Total Generalized Variation for Manifold-Valued Data
inferred← citeshttps://doi.org/10.1137/19m1249801openalex-snapshot
Wavelet Sparse Regularization for Manifold-Valued Data
inferred← citeshttps://doi.org/10.1137/21m1398513openalex-snapshot
An Inexact Semismooth Newton Method on Riemannian Manifolds with Application to Duality-Based Total Variation Denoising
inferred← citeshttps://doi.org/10.1137/s0036142901396715openalex-snapshot
Numerical Methods for p -Harmonic Flows and Applications to Image Processing
inferred← citeshttps://doi.org/10.1142/s179374421000017xopenalex-snapshot
Sobolev maps into the projective line with bounded total variation
inferred← citeshttps://doi.org/10.1155/s1085337504311048openalex-snapshot
Local solvability of a constrainedgradient system of total variation
inferred← citeshttps://doi.org/10.1365/s13291-015-0113-2openalex-snapshot
Combined First and Second Order Variational Approaches for Image Processing
inferred← citeshttps://doi.org/10.1515/forum.2008.041openalex-snapshot
BV-maps with values into S 1: graphs, minimal connections and optimal lifting
inferred← citeshttps://doi.org/10.4310/maa.2003.v10.n2.a6openalex-snapshot
On Constrained Equations with Singular Diffusivity
inferred← citeshttps://doi.org/10.48550/arxiv.2005.13365openalex-snapshot
Emergence of concentration effects in the variational analysis of the $N$-clock model
inferred← citeshttps://doi.org/10.68381/jca14006openalex-snapshot
Relaxation in BV of Integral Functionals Defined on Sobolev Functions with Values in the Unit Sphere
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