Smoothing with split linear fits
Technometrics
Periodogram with varying and data-driven window length
Signal Processing
Sensor array signal tracking using a data-driven window approach
Signal Processing
A new method for varying adaptive bandwidth selection
IEEE Transactions on Signal Processing
Adaptive de-noising of signals satisfying differential inequalities
IEEE Transactions on Information Theory
Space-Time Adaptation for Patch-Based Image Sequence Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Local Adaptivity to Variable Smoothness for Exemplar-Based Image Regularization and Representation
International Journal of Computer Vision
3D wavelet subbands mixing for image denoising
Journal of Biomedical Imaging
Clustering-based denoising with locally learned dictionaries
IEEE Transactions on Image Processing
Self-similarity driven color demosaicking
IEEE Transactions on Image Processing
Multiresolution local polynomial regression: A new approach to pointwise spatial adaptation
Digital Signal Processing
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
On limits of embedding in 3D images based on 2D Watson's model
IWDW'10 Proceedings of the 9th international conference on Digital watermarking
Unsupervised patch-based image regularization and representation
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
Adaptive spatio-temporal restoration for 4d fluorescence microscopic imaging
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
STFT-based estimator of polynomial phase signals
Signal Processing
Face recognition using scale-adaptive directional and textural features
Pattern Recognition
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We describe a novel approach to solve a problem of window size (bandwidth) selection for filtering an image signal given with a noise. The approach is based on the intersection of confidence intervals (ICI) rule and gives the algorithm, which is simple to implement and nearly optimal in the point-wise mean squared error risk. The local polynomial approximation (LPA) is used in order to derive the 2D transforms (filters) and demonstrate the efficiency of the approach. The ICI rule gives the adaptive varying window size and enables the algorithm to be spatially adaptive in the sense that its quality is close to that which one could achieve if the smoothness of the estimated signal was known in advance. Optimization of the threshold (design parameter of the ICI) is studied. It is shown that the cross-validation adjustment of the threshold significantly improves the algorithm accuracy. In particular, simulation demonstrates that the adaptive transforms with the adjusted threshold parameter perform better than the adaptive wavelet estimators.