Open AccessBook
Fundamentals of nonlinear digital filtering
Jaakko Astola,Pauli Kuosmanen +1 more
TLDR
In this article, statistical analysis and optimization of nonlinear filter methods based on order statistics Stack Filters Multistage and Hybrid Filters Discussion Exercises Bibliography Index Index.Abstract:
Nonlinear Signal Processing Signal Processing Model Signal and Noise Models Fundamental Problems in Noise Removal Algorithms Statistical Preliminaries Random Variables and Distributions Signal and Noise Models Estimation Some Useful Distributions 1001 Solutions Trimmed Mean Filters Other Trimmed Mean Filters L-Filters C-Filters (Ll-Filters) Weighted Median Filters Ranked-Order and Weighted Order Statistic Filters Multistage Median Filters Median Hybrid Filters Edge-Enhancing Selective Filters Rank Selection Filters M-Filters R-Filters Weighted Majority with Minimum Range Filters Nonlinear Mean Filters Stack Filters Generalizations of Stack Filters Morphological Filters Soft Morphological Filters Polynomial Filters Data-Dependent Filters Decision-Based Filters Iterative, Cascaded, and Recursive Filters Some Numerical Measures of Nonlinear Filters Discussion Statistical Analysis and Optimization of Nonlinear Filters Methods Based on Order Statistics Stack Filters Multistage and Hybrid Filters Discussion Exercises Bibliography Indexread more
Citations
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Journal ArticleDOI
Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization
TL;DR: This scheme can remove salt-and-pepper-noise with a noise level as high as 90% and show a significant improvement compared to those restored by using just nonlinear filters or regularization methods only.
Journal ArticleDOI
Adaptive impulse detection using center-weighted median filters
Tao Chen,Hong Ren Wu +1 more
TL;DR: A novel adaptive operator is devises, which forms estimates based on the differences between the current pixel and the outputs of center-weighted median (CWM) filters with varied center weights, which consistently works well in suppressing both types of impulses with different noise ratios.
Journal ArticleDOI
A new impulse detector for switching median filters
Shuqun Zhang,Mohammad A. Karim +1 more
TL;DR: A new impulse noise detection technique for switching median filters is presented, which is based on the minimum absolute value of four convolutions obtained using one-dimensional Laplacian operators, and is directed toward improved line preservation.
Journal ArticleDOI
Tri-state median filter for image denoising
Tao Chen,Kai-Kuang Ma,Lihui Chen +2 more
TL;DR: A novel nonlinear filter, called tri-state median (TSM) filter, is proposed for preserving image details while effectively suppressing impulse noise by balancing the tradeoff between noise reduction and detail preservation.
Journal ArticleDOI
Noise adaptive soft-switching median filter
How-Lung Eng,Kai-Kuang Ma +1 more
TL;DR: A novel switching-based median filter with incorporation of fuzzy-set concept, called the noise adaptive soft-switching median (NASM) filter, to achieve much improved filtering performance in terms of effectiveness in removing impulse noise while preserving signal details and robustness in combating noise density variations.