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A generalization of median filtering using linear combinations of order statistics

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TLDR
In this paper, the authors consider a class of nonlinear filters whose output is given by a linear combination of the order statistics of the input sequence, and choose the coefficients in the linear combination to minimize the output MSE for several noise distributions.
Abstract
We consider a class of nonlinear filters whose output is given by a linear combination of the order statistics of the input sequence. Assuming a constant signal in white noise, the coefficients in the linear combination are chosen to minimize the output MSE for several noise distributions. It is shown that the optimal order statistic filter (OSF) tends toward the median filter as the noise becomes more impulsive. The optimal OSF is applied to an actual noisy image and is shown to perform well, combining properties of both the averaging and median filters. A more general design scheme for applications involving nonconstant signals is also given.

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Citations
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Journal ArticleDOI

Blind Image Quality Assessment: A Natural Scene Statistics Approach in the DCT Domain

TL;DR: An efficient general-purpose blind/no-reference image quality assessment (IQA) algorithm using a natural scene statistics model of discrete cosine transform (DCT) coefficients, which requires minimal training and adopts a simple probabilistic model for score prediction.
Journal ArticleDOI

Vector median filters

TL;DR: In this article, two nonlinear algorithms for processing vector-valued signals are introduced, called vector median operations, which are derived from two multidimensional probability density functions using the maximum-likelihood-estimate approach.
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Robust techniques for signal processing: A survey

TL;DR: The minimax approach for the design of robust methods for signal processing is discussed, which has proven to be a very useful approach because it leads to constructive procedures for designing robust schemes.
Journal ArticleDOI

Adaptive impulse detection using center-weighted median filters

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

Analysis of CFAR processors in homogeneous background

TL;DR: In this paper, five different constant false alarm rate (CFAR) radar processing schemes are considered and their performances analyzed in homogeneous and nonhomogeneous backgrounds, the latter specifically being the multiple target environment and regions of clutter transitions.
References
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Journal ArticleDOI

A fast two-dimensional median filtering algorithm

TL;DR: A fast algorithm for two-dimensional median filtering based on storing and updating the gray level histogram of the picture elements in the window is presented, which is much faster than conventional sorting methods.
Journal ArticleDOI

Applications of a nonlinear smoothing algorithm to speech processing

TL;DR: A nonlinear smoothing algorithm recently proposed by Tukey is described and evaluated for speech processing applications and the concept of double smoothing is introduced as a refinement on the smoothing algorithms.
Journal ArticleDOI

A fast method for real-time median filtering

TL;DR: A fast real-time algorithm is presented for median filtering of signals and images that determines the kth bit of the median by inspecting the k most significant bits of the samples.