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Image denoising using the Gaussian curvature of the image surface

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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/mrm.1910210213openalex-snapshot
Filtering noise from images with wavelet transforms
inferredcites →https://doi.org/10.1002/mrm.1910240210openalex-snapshot
Perfusion and diffusion MR imaging
inferredcites →https://doi.org/10.1007/978-0-387-69277-7openalex-snapshot
Variational Methods in Imaging
inferredcites →https://doi.org/10.1007/978-3-540-33267-1openalex-snapshot
Image Processing Based on Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-3-540-33267-1_5openalex-snapshot
On Multigrids for Solving a Class of Improved Total Variation Based Staircasing Reduction Models
inferredcites →https://doi.org/10.1007/bfb0009210openalex-snapshot
Digital image processing
inferredcites →https://doi.org/10.1007/s10543-007-0123-2openalex-snapshot
An accelerated algebraic multigrid algorithm for total-variation denoising
inferredcites →https://doi.org/10.1007/s10543-013-0448-yopenalex-snapshot
A new iterative algorithm for mean curvature-based variational image denoising
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/j.cagd.2005.06.005openalex-snapshot
Curvature formulas for implicit curves and surfaces
inferredcites →https://doi.org/10.1016/j.cviu.2013.07.004openalex-snapshot
Markov Random Field modeling, inference & learning in computer vision & image understanding: A survey
inferredcites →https://doi.org/10.1080/00207160.2012.720370openalex-snapshot
Fast iterative algorithms for solving the minimization of curvature-related functionals in surface fairing
inferredcites →https://doi.org/10.1080/01621459.1995.10476626openalex-snapshot
Adapting to Unknown Smoothness via Wavelet Shrinkage
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/10.1109/34.56205openalex-snapshot
Scale-space and edge detection using anisotropic diffusion
inferredcites →https://doi.org/10.1109/83.869184openalex-snapshot
Fourth-order partial differential equations for noise removal
inferredcites →https://doi.org/10.1109/83.935036openalex-snapshot
Filling-in by joint interpolation of vector fields and gray levels
inferredcites →https://doi.org/10.1109/icip.1998.999016openalex-snapshot
Level lines based disocclusion
inferredcites →https://doi.org/10.1109/milcom.1992.244110openalex-snapshot
Fast wavelet techniques for near-optimal image processing
inferredcites →https://doi.org/10.1109/tip.2003.819229openalex-snapshot
Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
inferredcites →https://doi.org/10.1109/tip.2004.834662openalex-snapshot
Noise Removal Using Smoothed Normals and Surface Fitting
inferredcites →https://doi.org/10.1109/tip.2011.2158229openalex-snapshot
An Augmented Lagrangian Method for Total Variation Video Restoration
inferredcites →https://doi.org/10.1137/050622213openalex-snapshot
Segmentation with Depth: A Level Set Approach
inferredcites →https://doi.org/10.1137/050624522openalex-snapshot
Variable Exponent, Linear Growth Functionals in Image Restoration
inferredcites →https://doi.org/10.1137/080725891openalex-snapshot
The Split Bregman Method for L1-Regularized Problems
inferredcites →https://doi.org/10.1137/080736612openalex-snapshot
Analogue of the Total Variation Denoising Model in the Context of Geometry Processing
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/10.1137/090769521openalex-snapshot
Total Generalized Variation
inferredcites →https://doi.org/10.1137/100788239openalex-snapshot
A Fourth-Order Variational Image Registration Model and Its Fast Multigrid Algorithm
inferredcites →https://doi.org/10.1137/110822268openalex-snapshot
Image Denoising Using Mean Curvature of Image Surface
inferredcites →https://doi.org/10.1137/110829209openalex-snapshot
An Iterative Lagrange Multiplier Method for Constrained Total-Variation-Based Image Denoising
inferredcites →https://doi.org/10.1137/120901246openalex-snapshot
Denoising an Image by Denoising Its Curvature Image
inferredcites →https://doi.org/10.1137/s0036139901390088openalex-snapshot
Euler's Elastica and Curvature-Based Inpainting
inferredcites →https://doi.org/10.1137/s0036142901396715openalex-snapshot
Numerical Methods for p -Harmonic Flows and Applications to Image Processing
inferredcites →https://doi.org/10.1137/s1064827599351751openalex-snapshot
Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal
inferredcites →https://doi.org/10.1137/s1540345903422458openalex-snapshot
Disocclusion by Joint Interpolation of Vector Fields and Gray Levels
inferredcites →https://doi.org/10.1145/944020.944024openalex-snapshot
Geometric surface processing via normal maps
inferredcites →https://doi.org/10.2307/3615195openalex-snapshot
Applied Mathematical Sciences
inferredcites →https://doi.org/10.3934/ipi.2011.5.237openalex-snapshot
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity
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/10.4208/nmtma.2009.m9001sopenalex-snapshot
A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.4642055openalex-extracted
A Nonlinear Fourth- Order Partial Differential Equation Model for Multiplicative Noise Removal
inferred← citeshttps://doi.org/10.1007/978-3-030-03338-5_45openalex-snapshot
Piecewise Harmonic Image Restoration with High Order Variational Model
inferred← citeshttps://doi.org/10.1007/s00371-022-02674-0openalex-snapshot
Noise removal using an adaptive Euler’s elastica-based model
inferred← citeshttps://doi.org/10.1007/s00371-024-03309-2openalex-snapshot
Image deblocking algorithm based on GC and SSR
inferred← citeshttps://doi.org/10.1007/s10851-020-00992-3openalex-snapshot
Image Reconstruction by Minimizing Curvatures on Image Surface
inferred← citeshttps://doi.org/10.1007/s10851-025-01240-2openalex-snapshot
High-Order DIP-VBTV: An Image Restoration Model Combining a Deep Image Prior and a High-Order Total Variation on Vector Bundles
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/s10915-022-01886-9openalex-snapshot
Spatially Adapted First and Second Order Regularization for Image Reconstruction: From an Image Surface Perspective
inferred← citeshttps://doi.org/10.1007/s10915-025-02819-yopenalex-snapshot
Efficient SAV-Based Algorithms for Image Multiplicative Denoising with a Second Fundamental Form Regularizer
inferred← citeshttps://doi.org/10.1007/s11042-020-09745-1openalex-snapshot
Improved partial differential equation-based total variation approach to non-subsampled contourlet transform for medical image denoising
inferred← citeshttps://doi.org/10.1007/s11265-022-01800-4openalex-snapshot
GC-Net: An Unsupervised Network for Gaussian Curvature Optimization on Images
inferred← citeshttps://doi.org/10.1007/s11760-022-02427-5openalex-snapshot
A novel image denoising approach based on a curvature-based regularization
inferred← citeshttps://doi.org/10.1007/s40314-022-01865-8openalex-snapshot
An effective algorithm for mean curvature-based image deblurring problem
inferred← citeshttps://doi.org/10.1016/bs.hna.2019.08.002openalex-snapshot
Fast operator-splitting algorithms for variational imaging models: Some recent developments
inferred← citeshttps://doi.org/10.1016/j.apm.2025.116368openalex-snapshot
Tensor completion via total curvature variation and low-rank matrix factorization
inferred← citeshttps://doi.org/10.1016/j.cam.2025.117089openalex-snapshot
Total curvature-driven blind image deblurring
inferred← citeshttps://doi.org/10.1016/j.dsp.2017.07.001openalex-snapshot
Introducing diffusion tensor to high order variational model for image reconstruction
inferred← citeshttps://doi.org/10.1016/j.ijcce.2022.03.001openalex-snapshot
An adaptive bitonic filtering based edge fusion algorithm for Gaussian denoising
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/10.1016/j.image.2021.116531openalex-snapshot
Blind image deblurring with Gaussian curvature of the image surface
inferred← citeshttps://doi.org/10.1016/j.imavis.2024.105192openalex-snapshot
Ricci curvature based volumetric segmentation
inferred← citeshttps://doi.org/10.1080/00207160.2021.1929939openalex-snapshot
A two-level method for image denoising and image deblurring models using mean curvature regularization
inferred← citeshttps://doi.org/10.1088/1361-6501/acacb8openalex-snapshot
Detection algorithm for bearing roller end surface defects based on improved YOLOv5n and image fusion
inferred← citeshttps://doi.org/10.1109/access.2021.3050651openalex-snapshot
On Two Algorithms for Multi-Modality Image Registration Based on Gaussian Curvature and Application to Medical Images
inferred← citeshttps://doi.org/10.1109/access.2023.3328555openalex-snapshot
Curvature-Based Machine Vision Method for Measuring the Dimension of Ball Screws
inferred← citeshttps://doi.org/10.1109/iceeict56924.2023.10157169openalex-snapshot
Medical Image Denoising Using BAT Optimization Algorithm
inferred← citeshttps://doi.org/10.1109/jsen.2019.2959704openalex-snapshot
Image Segmentation and Denoising Algorithm Based on Partial Differential Equations
inferred← citeshttps://doi.org/10.1109/mlsp52302.2021.9596473openalex-snapshot
Real-Time Optimizing Weighted Gaussian Curvature for 4K Videos
inferred← citeshttps://doi.org/10.1109/tcsvt.2022.3217586openalex-snapshot
Efficient SAV Algorithms for Curvature Minimization Problems
inferred← citeshttps://doi.org/10.1109/tgrs.2024.3423492openalex-snapshot
Single-Frame Infrared Small Target Detection via Gaussian Curvature Inspired Network
inferred← citeshttps://doi.org/10.1109/tip.2023.3251024openalex-snapshot
Fast Multi-Grid Methods for Minimizing Curvature Energies
inferred← citeshttps://doi.org/10.1109/tns.2018.2888948openalex-snapshot
Few-view computed tomography image reconstruction using mean curvature model with curvature smoothing and surface fitting
inferred← citeshttps://doi.org/10.1137/21m143772xopenalex-snapshot
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging
inferred← citeshttps://doi.org/10.1137/25m1782613openalex-snapshot
Total Normal Curvature Regularization and Its Minimization for Surface and Image Smoothing
inferred← citeshttps://doi.org/10.1155/2019/9205809openalex-snapshot
Total Bending Method for Piecewise Smoothing Image Denoising
inferred← citeshttps://doi.org/10.1155/2021/9995813openalex-snapshot
A New Method of Denoising Crop Image Based on Improved SVD in Wavelet Domain
inferred← citeshttps://doi.org/10.1177/17483026211055679openalex-snapshot
Circulant preconditioners for mean curvature-based image deblurring problem
inferred← citeshttps://doi.org/10.1364/josaa.35.000798openalex-snapshot
Optimization model for multiplicative noise and blur removal based on Gaussian curvature regularization
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Analysis of the CCFD method for MC-based image denoising problems
inferred← citeshttps://doi.org/10.22441/jte.2020.v11i3.005openalex-snapshot
Studi Performansi Image Denoising Menggunakan Persamaan Turunan Parsial
inferred← citeshttps://doi.org/10.3233/xst-16225openalex-snapshot
Sparse-view image reconstruction via total absolute curvature combining total variation for X-ray computed tomography
inferred← citeshttps://doi.org/10.3934/ipi.2019041openalex-snapshot
Piecewise constant signal and image denoising using a selective averaging method with multiple neighbors
inferred← citeshttps://doi.org/10.3934/ipi.2026038openalex-snapshot
A total scaled-gradient variation model with box-constraint for image reconstruction problems
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Entropy solutions for an adaptive fourth-order nonlinear degenerate problem for noise removal
inferred← citeshttps://doi.org/10.3934/math.2021802openalex-snapshot
Two new preconditioners for mean curvature-based image deblurring problem
inferred← citeshttps://doi.org/10.3934/math.2022991openalex-snapshot
Preconditioned augmented Lagrangian method for mean curvature image deblurring
inferred← citeshttps://doi.org/10.4208/cicp.oa-2017-0109openalex-snapshot
A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns
inferred← citeshttps://doi.org/10.4208/eajam.010817.160218openalex-snapshot
A Fast Linearised Augmented Lagrangian Method for a Mean Curvature Based Model
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Image Reconstruction via Discrete Curvatures
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