Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Original Contribution: Stacked generalization
Neural Networks
Improving regression estimation: Averaging methods for variance reduction with extensions to general convex measure optimization
Machine Learning
Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
Geometric partial differential equations and image analysis
Geometric partial differential equations and image analysis
Digital Picture Processing
Summed-area tables for texture mapping
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Texture Synthesis by Non-Parametric Sampling
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Unsupervised, Information-Theoretic, Adaptive Image Filtering for Image Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlocal Image and Movie Denoising
International Journal of Computer Vision
Introduction to Nonparametric Estimation
Introduction to Nonparametric Estimation
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Robust NL-means filter with optimal pixel-wise smoothing parameter for statistical image denoising
IEEE Transactions on Signal Processing
Diffusion Interpretation of Nonlocal Neighborhood Filters for Signal Denoising
SIAM Journal on Imaging Sciences
From Local Kernel to Nonlocal Multiple-Model Image Denoising
International Journal of Computer Vision
Principal neighborhood dictionaries for nonlocal means image denoising
IEEE Transactions on Image Processing
Iterated nonlocal means for texture restoration
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Bayesian non-local means filter, image redundancy and adaptive dictionaries for noise removal
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
A Bias-Variance Approach for the Nonlocal Means
SIAM Journal on Imaging Sciences
Anisotropic non-local means with spatially adaptive patch shapes
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
The curvelet transform for image denoising
IEEE Transactions on Image Processing
Image denoising using scale mixtures of Gaussians in the wavelet domain
IEEE Transactions on Image Processing
Region filling and object removal by exemplar-based image inpainting
IEEE Transactions on Image Processing
Sparse geometric image representations with bandelets
IEEE Transactions on Image Processing
Optimal Spatial Adaptation for Patch-Based Image Denoising
IEEE Transactions on Image Processing
Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering
IEEE Transactions on Image Processing
Weighted Averaging for Denoising With Overcomplete Dictionaries
IEEE Transactions on Image Processing
Efficient Nonlocal Means for Denoising of Textural Patterns
IEEE Transactions on Image Processing
Poisson Noise Reduction with Non-local PCA
Journal of Mathematical Imaging and Vision
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Since their introduction in image denoising, the family of non-local methods, whose Non-Local Means (NL-Means) is the most famous member, has proved its ability to challenge other powerful methods such as wavelet based approaches or variational techniques. Though simple to implement and efficient in practice, the classical NL-Means algorithm suffers from several limitations: noise artifacts are created around edges and regions with few repetitions in the image are not treated at all. In this paper, we present an easy to implement and time efficient modification of the NL-Means based on a better reprojection from the patches space to the original pixel space, specially designed to reduce the artifacts due to the rare patch effect. We compare the performance of several reprojection schemes on a toy example and on some classical natural images.