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Analogue of the Total Variation Denoising Model in the Context of Geometry Processing

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What this work says

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

inferredcites →https://doi.org/10.1002/cpa.3160420503openalex-snapshot
Optimal approximations by piecewise smooth functions and associated variational problems
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Removing the stiffness from interfacial flows with surface tension
inferredcites →https://doi.org/10.1006/jcph.1996.0167openalex-snapshot
A Variational Level Set Approach to Multiphase Motion
inferredcites →https://doi.org/10.1006/jvci.2001.0476openalex-snapshot
Surface Evolution under Curvature Flows
inferredcites →https://doi.org/10.1006/jvci.2001.0481openalex-snapshot
Elastica with Hinges
inferredcites →https://doi.org/10.1007/3-540-56484-5openalex-snapshot
Filtering, Segmentation and Depth
inferredcites →https://doi.org/10.1007/978-3-662-05105-4_2openalex-snapshot
Discrete Differential-Geometry Operators for Triangulated 2-Manifolds
inferredcites →https://doi.org/10.1007/bf00133570openalex-snapshot
Snakes: Active contour models
inferredcites →https://doi.org/10.1007/s002110050258openalex-snapshot
Image recovery via total variation minimization and related problems
inferredcites →https://doi.org/10.1016/0021-9991(88)90002-2openalex-snapshot
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
inferredcites →https://doi.org/10.1016/0167-2789(92)90242-fopenalex-snapshot
Nonlinear total variation based noise removal algorithms
inferredcites →https://doi.org/10.1016/j.cagd.2004.02.004openalex-snapshot
A finite element method for surface restoration with smooth boundary conditions
inferredcites →https://doi.org/10.1016/s0167-8191(99)00076-9openalex-snapshot
Visualization in biomedical computing
inferredcites →https://doi.org/10.1017/9781009701815.003openalex-snapshot
Tight Submanifolds, Smooth and Polyhedral
inferredcites →https://doi.org/10.1017/s0956792502004904openalex-snapshot
Digital inpainting based on the Mumford–Shah–Euler image model
inferredcites →https://doi.org/10.1023/a:1025343723019openalex-snapshot
Construction of Shapes Arising from the Minkowski Problem Using a Level Set Approach
inferredcites →https://doi.org/10.1023/b:jmiv.0000011320.81911.38openalex-snapshot
Image Sharpening by Flows Based on Triple Well Potentials
inferredcites →https://doi.org/10.1023/b:jmiv.0000011321.19549.88openalex-snapshot
Affine Invariant Flows in the Beltrami Framework
inferredcites →https://doi.org/10.1080/00029890.1970.11992523openalex-snapshot
Critical Points and Curvature for Embedded Polyhedral Surfaces
inferredcites →https://doi.org/10.1109/34.56205openalex-snapshot
Scale-space and edge detection using anisotropic diffusion
inferredcites →https://doi.org/10.1109/iccv.1995.466848openalex-snapshot
Curve and surface smoothing without shrinkage
inferredcites →https://doi.org/10.1109/icip.1998.999016openalex-snapshot
Level lines based disocclusion
inferredcites →https://doi.org/10.1109/smi.2002.1003528openalex-snapshot
Wiener filtering of meshes
inferredcites →https://doi.org/10.1111/1467-8659.00580openalex-snapshot
Intrinsic Parameterizations of Surface Meshes
inferredcites →https://doi.org/10.1117/12.185173openalex-snapshot
Volumetric deformable models: active blobs
inferredcites →https://doi.org/10.1137/050622213openalex-snapshot
Segmentation with Depth: A Level Set Approach
inferredcites →https://doi.org/10.1137/0729012openalex-snapshot
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
inferredcites →https://doi.org/10.1137/s0036139901390088openalex-snapshot
Euler's Elastica and Curvature-Based Inpainting
inferredcites →https://doi.org/10.1137/s1064827596299767openalex-snapshot
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
inferredcites →https://doi.org/10.1145/1198555.1198664openalex-snapshot
Discrete Willmore flow
inferredcites →https://doi.org/10.1145/1201775.882368openalex-snapshot
Bilateral mesh denoising
inferredcites →https://doi.org/10.1145/133994.134035openalex-snapshot
Functional optimization for fair surface design
inferredcites →https://doi.org/10.1145/192161.192216openalex-snapshot
Free-form shape design using triangulated surfaces
inferredcites →https://doi.org/10.1145/192161.192233openalex-snapshot
Piecewise smooth surface reconstruction
inferredcites →https://doi.org/10.1145/218380.218473openalex-snapshot
A signal processing approach to fair surface design
inferredcites →https://doi.org/10.1145/311535.311576openalex-snapshot
Implicit fairing of irregular meshes using diffusion and curvature flow
inferredcites →https://doi.org/10.1145/344779.344972openalex-snapshot
Image inpainting
inferredcites →https://doi.org/10.1145/944020.944024openalex-snapshot
Geometric surface processing via normal maps
inferredcites →https://doi.org/10.20380/gi2000.20openalex-snapshot
Anisotropic Feature-Preserving Denoising of Height Fields and Bivariate Data
inferredcites →https://doi.org/10.4171/ifb/105openalex-snapshot
A level set formulation for Willmore flow
inferredcites →https://doi.org/10.4310/jdg/1214428092openalex-snapshot
Critical points and curvature for embedded polyhedra
inferredcites →https://doi.org/10.5860/choice.48-3330openalex-snapshot
Differential geometry of curves and surfaces

What points at this work

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

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Image denoising using the Gaussian curvature of the image surface
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A Fast Algorithm for a Mean Curvature Based Image Denoising Model Using Augmented Lagrangian Method
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Adaptive sampling for UAV tracking
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A Gauss-Newton Method for the Integration of Spatial Normal Fields in Shape Space
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Image Segmentation Using Euler’s Elastica as the Regularization
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Spatially Adapted First and Second Order Regularization for Image Reconstruction: From an Image Surface Perspective
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Robust visual tracking via a hybrid correlation filter
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Survey of fast algorithms for Euler's elastica-based image segmentation
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Fast operator-splitting algorithms for variational imaging models: Some recent developments
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Highly symmetric bi-frames for triangle surface multiresolution processing
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Multiscale representation of surfaces by tight wavelet frames with applications to denoising
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Total variation diffusion and its application in shape decomposition
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Implicit surface reconstruction with total variation regularization
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Adaptive variational curve smoothing based on level set method
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Time-Inferred Autoencoder: A noise adaptive condition monitoring tool
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Mean curvature flow by the Allen–Cahn equation
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Fast iterative algorithms for solving the minimization of curvature-related functionals in surface fairing
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Introduction to variational image-processing models and applications
inferred← citeshttps://doi.org/10.1088/1361-6420/ab6d5bopenalex-snapshot
Total variation of the normal vector field as shape prior
inferred← citeshttps://doi.org/10.1093/imanum/drw007openalex-snapshot
Numerical methods for the 2-Hessian elliptic partial differential equation
inferred← citeshttps://doi.org/10.1108/ec-07-2023-0390openalex-snapshot
Variational sparse diffusion and its application in mesh processing
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Three-dimensional ultrasonic data smooth and endocardial extraction
inferred← citeshttps://doi.org/10.1109/tip.2023.3251024openalex-snapshot
Fast Multi-Grid Methods for Minimizing Curvature Energies
inferred← citeshttps://doi.org/10.1109/tvcg.2015.2398432openalex-snapshot
Variational Mesh Denoising Using Total Variation and Piecewise Constant Function Space
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Mesh Denoising using Extended ROF Model withL1Fidelity
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Level Set Based Nonlocal Surface Restoration
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Multigrid Algorithm for High Order Denoising
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Higher-Order Feature-Preserving Geometric Regularization
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Level Set Based Multispectral Segmentation with Corners
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Image Denoising Using Mean Curvature of Image Surface
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A Ridge and Corner Preserving Model for Surface Restoration
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Triangulated Surface Denoising using High Order Regularization with Dynamic Weights
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An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging
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Mesh Denoising and Inpainting Using the Total Variation of the Normal and a Shape Newton Approach
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A PCA Based Model for Surface Reconstruction from Incomplete Point Clouds
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Total Normal Curvature Regularization and Its Minimization for Surface and Image Smoothing
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ℓ 1 -Sparse reconstruction of sharp point set surfaces
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Local barycentric coordinates
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Optimization model for multiplicative noise and blur removal based on Gaussian curvature regularization
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A new Gaussian curvature of the image surface based variational model for haze or fog removal
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Poisson image restoration via an adaptive Euler’s elastica regularization
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Variational geometry processing
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Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature
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A fast modified Newton's method for curvature based denoising of 1D signals
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Augmented Lagrangian method for a mean curvature based image denoising model
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Augmented Lagrangian method for an Euler's elastica based segmentation model that promotes convex contours
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A wavelet frame approach for removal of mixed Gaussian and impulse noise on surfaces
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A Level Set Representation Method for $N$-Dimensional Convex Shape and Applications
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Segmentation by Elastica Energy with $L$1 and $L$2 Curvatures: A Performance Comparison
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A novel variational model for image registration using Gaussian curvature
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Level Set Method-Based Identification of Locations and Shapes of Fuel Cell Defects
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