On the public citation graph

A numerical study of a mean curvature denoising model using a novel augmented Lagrangian method

https://doi.org/10.3934/ipi.2017045
0 signed · 47 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1006/jdeq.2001.4150openalex-snapshot
The Total Variation Flow in RN
inferredcites →https://doi.org/10.1007/3-540-56484-5openalex-snapshot
Filtering, Segmentation and Depth
inferredcites →https://doi.org/10.1007/978-3-0348-7893-7_2openalex-snapshot
On a Variational Problem Arising in Image Reconstruction
inferredcites →https://doi.org/10.1007/978-3-642-24785-9_13openalex-snapshot
A Fast Augmented Lagrangian Method for Euler’s Elastica Model
inferredcites →https://doi.org/10.1007/s10851-006-9695-8openalex-snapshot
A Variational Model for Capturing Illusory Contours Using Curvature
inferredcites →https://doi.org/10.1007/s10915-013-9710-3openalex-snapshot
Image Segmentation Using Euler’s Elastica as the Regularization
inferredcites →https://doi.org/10.1007/s11263-012-0518-7openalex-snapshot
A Linear Framework for Region-Based Image Segmentation and Inpainting Involving Curvature Penalization
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.apnum.2011.12.001openalex-snapshot
Homotopy method for a mean curvature-based denoising model
inferredcites →https://doi.org/10.1016/s0262-8856(97)00002-4openalex-snapshot
A variational method for the recovery of smooth boundaries
inferredcites →https://doi.org/10.1017/cbo9781139523967.005openalex-snapshot
Differential geometry of curves and surfaces
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/10.1088/0266-5611/19/6/059openalex-snapshot
Edge-preserving and scale-dependent properties of total variation regularization
inferredcites →https://doi.org/10.1088/0266-5611/30/5/055014openalex-snapshot
Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction
inferredcites →https://doi.org/10.1090/ulect/022openalex-snapshot
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
inferredcites →https://doi.org/10.1109/83.982815openalex-snapshot
Disocclusion: a variational approach using level lines
inferredcites →https://doi.org/10.1109/cvpr.2010.5540057openalex-snapshot
Fast global optimization of curvature
inferredcites →https://doi.org/10.1109/iccv.2009.5459209openalex-snapshot
Curvature regularity for region-based image segmentation and inpainting: A linear programming relaxation
inferredcites →https://doi.org/10.1109/icip.1998.999016openalex-snapshot
Level lines based disocclusion
inferredcites →https://doi.org/10.1109/tip.2010.2090533openalex-snapshot
Graph Cuts for Curvature Based Image Denoising
inferredcites →https://doi.org/10.1137/040604297openalex-snapshot
Aspects of Total Variation Regularized L 1 Function Approximation
inferredcites →https://doi.org/10.1137/040605412openalex-snapshot
An Iterative Regularization Method for Total Variation-Based Image Restoration
inferredcites →https://doi.org/10.1137/050622213openalex-snapshot
Segmentation with Depth: A Level Set Approach
inferredcites →https://doi.org/10.1137/080725891openalex-snapshot
The Split Bregman Method for L1-Regularized Problems
inferredcites →https://doi.org/10.1137/080737903openalex-snapshot
Multigrid Algorithm for High Order Denoising
inferredcites →https://doi.org/10.1137/090767558openalex-snapshot
Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
inferredcites →https://doi.org/10.1137/100803730openalex-snapshot
A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method
inferredcites →https://doi.org/10.1137/110822268openalex-snapshot
Image Denoising Using Mean Curvature of Image Surface
inferredcites →https://doi.org/10.1137/140962164openalex-snapshot
A New Augmented Lagrangian Approach for $L^1$-mean Curvature Image Denoising
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/10.1287/moor.1.2.97openalex-snapshot
Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
inferredcites →https://doi.org/10.3934/ipi.2013.7.1409openalex-snapshot
Augmented Lagrangian method for a mean curvature based image denoising model
inferredcites →https://doi.org/10.4171/ifb/72openalex-snapshot
A direct variational approach to a problem arising in image reconstruction
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.

inferred← citeshttps://doi.org/10.1007/s10444-019-09734-5openalex-snapshot
A first-order image denoising model for staircase reduction
inferred← citeshttps://doi.org/10.1007/s10851-025-01271-9openalex-snapshot
Minimizing Mean Curvature of Image Surface via Bilinear Decomposition for Image Reconstruction
inferred← citeshttps://doi.org/10.1007/s10851-026-01304-xopenalex-snapshot
Fast Augmented Lagrangian Primal Dual Algorithm for Mean Curvature Regularization Model
inferred← citeshttps://doi.org/10.1007/s10851-026-01313-wopenalex-snapshot
Image Denoising via $$L^2$$-Norm of Anisotropic Mean Curvature of Image Surface
inferred← citeshttps://doi.org/10.1007/s10915-020-01216-xopenalex-snapshot
Image Denoising Using $$L^{p}$$-norm of Mean Curvature of Image Surface
inferred← citeshttps://doi.org/10.1007/s10915-021-01557-1openalex-snapshot
A First-Order Image Restoration Model that Promotes Image Contrast Preservation
inferred← citeshttps://doi.org/10.1007/s42967-023-00344-zopenalex-snapshot
A Second-Order Image Denoising Model for Contrast Preservation
inferred← citeshttps://doi.org/10.1016/j.ijleo.2020.164940openalex-snapshot
A weighted total variation based image denoising model using mean curvature
inferred← citeshttps://doi.org/10.22441/jte.2020.v11i3.005openalex-snapshot
Studi Performansi Image Denoising Menggunakan Persamaan Turunan Parsial
inferred← citeshttps://doi.org/10.3934/ipi.2022031openalex-snapshot
A non-convex PDE-constrained denoising model for impulse and Gaussian noise mixture reduction
inferred← citeshttps://doi.org/10.4208/nmtma.oa-2024-0051openalex-snapshot
Finding Cheeger Cuts via 1-Laplacian of Graphs
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.