Texture Synthesis by Non-Parametric Sampling
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Unsupervised, Information-Theoretic, Adaptive Image Filtering for Image Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Non-stationary analysis on datasets and applications
Non-stationary analysis on datasets and applications
A new time-scale adaptive denoising method based on wavelet shrinkage
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 03
Local Adaptivity to Variable Smoothness for Exemplar-Based Image Regularization and Representation
International Journal of Computer Vision
Manifold models for signals and images
Computer Vision and Image Understanding
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
Principal neighborhood dictionaries for nonlocal means image denoising
IEEE Transactions on Image Processing
Iterative weighted maximum likelihood denoising with probabilistic patch-based weights
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
Uniform and textured regions separation in natural images towards MPM adaptive denoising
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Non-local image smoothing by applying anisotropic diffusion PDE's in the space of patches
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Total Variation as a Local Filter
SIAM Journal on Imaging Sciences
Information Theory and Mixing Least-Squares Regressions
IEEE Transactions on Information Theory
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering
IEEE Transactions on Image Processing
The SURE-LET Approach to Image Denoising
IEEE Transactions on Image Processing
Efficient Nonlocal Means for Denoising of Textural Patterns
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Nonlocal Means With Dimensionality Reduction and SURE-Based Parameter Selection
IEEE Transactions on Image Processing
Patch reprojections for Non-Local methods
Signal Processing
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This paper deals with the parameter choice for the nonlocal means (NLM) algorithm. After basic computations on toy models highlighting the bias of the NLM, we study the bias-variance trade-off of this filter so as to highlight the need of a local choice of the parameters. Relying on Stein's unbiased risk estimate, we then propose an efficient algorithm to locally set these parameters, and we compare this method with the NLM with optimal global parameter.