Spectral Decomposition of the Laplacian Matrix Applied to RNA Folding Prediction
CSB '03 Proceedings of the IEEE Computer Society Conference on Bioinformatics
Nonlinear diffusion filtering on extended neighborhood
Applied Numerical Mathematics
Total Variation Wavelet Inpainting
Journal of Mathematical Imaging and Vision
A New Diffusion-Based Variational Model for Image Denoising and Segmentation
Journal of Mathematical Imaging and Vision
Error Analysis for Image Inpainting
Journal of Mathematical Imaging and Vision
Digital Total Variation Filtering as Postprocessing for Radial Basis Function Approximation Methods
Computers & Mathematics with Applications
Graph regularization for color image processing
Computer Vision and Image Understanding
Video-to-video dynamic super-resolution for grayscale and color sequences
EURASIP Journal on Applied Signal Processing
A nonlinear entropic variational model for image filtering
EURASIP Journal on Applied Signal Processing
First-order modeling and stability analysis of illusory contours
Journal of Visual Communication and Image Representation
Local Adaptivity to Variable Smoothness for Exemplar-Based Image Regularization and Representation
International Journal of Computer Vision
An adaptive window mechanism for image smoothing
Computer Vision and Image Understanding
ACM SIGGRAPH Asia 2008 papers
Sequential Blind PSF Estimation and Restoration of Aerial Multispectral Images
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Image Segmentation and Selective Smoothing Based on Variational Framework
Journal of Signal Processing Systems
Graph-based tools for microscopic cellular image segmentation
Pattern Recognition
Edge-avoiding wavelets and their applications
ACM SIGGRAPH 2009 papers
Local and Nonlocal Discrete Regularization on Weighted Graphs for Image and Mesh Processing
International Journal of Computer Vision
Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Graph Regularisation Using Gaussian Curvature
GbRPR '09 Proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition
Edge Detection Free Postprocessing for Pseudospectral Approximations
Journal of Scientific Computing
Algorithm 899: The Matlab postprocessing toolkit
ACM Transactions on Mathematical Software (TOMS)
Nonlinear filtering for sparse signal recovery from incomplete measurements
IEEE Transactions on Signal Processing
Decorrelating the structure and texture components of a variational decomposition model
IEEE Transactions on Image Processing
SoftCuts: a soft edge smoothness prior for color image super-resolution
IEEE Transactions on Image Processing
Video dejittering by bake and shake
Image and Vision Computing
Weighted and extended total variation for image restoration and decomposition
Pattern Recognition
Locally adaptive selection of parameters in regularization-based denoising algorithms
SPPRA '08 Proceedings of the Fifth IASTED International Conference on Signal Processing, Pattern Recognition and Applications
Equivalence results for TV diffusion and TV regularisation
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
A common viewpoint on broad kernel filtering and nonlinear diffusion
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
An high order finite co-volume scheme for denoising using radial basis functions
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Scale selection for anisotropic diffusion filter by Markov random field model
Pattern Recognition
Noise removal based on the variation of digitized energy
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Generalised Nonlocal Image Smoothing
International Journal of Computer Vision
ℓ1-Sparse reconstruction of sharp point set surfaces
ACM Transactions on Graphics (TOG)
3D-reconstruction of basal cell carcinoma: a proof-of-principle study
WBIR'10 Proceedings of the 4th international conference on Biomedical image registration
Nonlocal multiscale hierarchical decomposition on graphs
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
A novel variational model for image segmentation
Journal of Computational and Applied Mathematics
Real time ultrasound image denoising
Journal of Real-Time Image Processing
Multiplicative noise removal via a novel variational model
Journal on Image and Video Processing - Special issue on emerging methods for color image and video quality enhancement
Adaptive coupled diffusion model for vessel image enhancement
International Journal of Computational Science and Engineering
Hierarchical representation of discrete data on graphs
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Fast and robust filtering-based image magnification
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
Fuzzy edge-sensitive filter for noise reduction
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Γ-Convergence approximation to piecewise constant mumford-shah segmentation
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
An edge preserving regularization model for image restoration based on hopfield neural network
ISNN'06 Proceedings of the Third international conference on Advnaces in Neural Networks - Volume Part II
Image smoothing and segmentation by graph regularization
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
High dynamic range global mosaic
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
Retinex by two bilateral filters
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Parameterless discrete regularization on graphs for color image filtering
ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
Nonlinear Multilayered Representation of Graph-Signals
Journal of Mathematical Imaging and Vision
Adaptive regularization-based space-time super-resolution reconstruction
Image Communication
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Motivated by the classical TV (total variation) restoration model, we propose a new nonlinear filter-the digital TV filter for denoising and enhancing digital images, or more generally, data living on graphs. The digital TV filter is a data dependent lowpass filter, capable of denoising data without blurring jumps or edges. In iterations, it solves a global total variational (or L1) optimization problem, which differs from most statistical filters. Applications are given in the denoising of one dimensional (1-D) signals, two-dimensional (2-D) data with irregular structures, gray scale and color images, and nonflat image features such as chromaticity