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An Overview of Median and Stack Filtering
 Circuits, Systems, and Signal Processing, Special issue on Median and Morphological Filtering
, 1992
"... Abstract. Within the last two decades a small group of researchers has built a useful, nontrivial theory of nonlinear signal processing around the medianrelated filters known as rankorder filters, orderstatistic filters, weighted median filters, and stack filters. This required significant effort ..."
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Cited by 11 (2 self)
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Abstract. Within the last two decades a small group of researchers has built a useful, nontrivial theory of nonlinear signal processing around the medianrelated filters known as rankorder filters, orderstatistic filters, weighted median filters, and stack filters. This required significant
Output Distributions of Recursive Stack Filters
 IEEE Signal Processing Letters
, 1999
"... In this letter, we provide a method for deriving the output distribution function of any recursive stack filter. In particular, we give the output distribution of the recursive median filter. The method used relies on finite automata and Markov chain theory. The distribution of any recursive stack f ..."
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Cited by 4 (4 self)
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In this letter, we provide a method for deriving the output distribution function of any recursive stack filter. In particular, we give the output distribution of the recursive median filter. The method used relies on finite automata and Markov chain theory. The distribution of any recursive stack
Dual Stack Filters and the Modified Difference
 IEEE Trans. Image Proc
, 1997
"... The theory of optimal stack filtering has been used in the difference of estimates (DoE) approach to the detection of intensity edges in noisy images. In this paper, the DoE approach is modified by imposing a symmetry condition on the data used to train the two stack filters. Under this condition, t ..."
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The theory of optimal stack filtering has been used in the difference of estimates (DoE) approach to the detection of intensity edges in noisy images. In this paper, the DoE approach is modified by imposing a symmetry condition on the data used to train the two stack filters. Under this condition
Dynamical systems analysis of stack filters
, 907
"... We study classes of dynamical systems that can be obtained by constructing recursive networks with monotone Boolean functions. Stack filters in nonlinear signal processing are special cases of such systems. We show an analytical connection between coefficients used to optimize the statistical proper ..."
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We study classes of dynamical systems that can be obtained by constructing recursive networks with monotone Boolean functions. Stack filters in nonlinear signal processing are special cases of such systems. We show an analytical connection between coefficients used to optimize the statistical
Breakdown Probabilities of Recursive Stack Filters
, 2001
"... A method for calculating breakdown probabilities of recursive stack filters is presented. The method is based on Markov chain models and on an interpretation of a noisy signal as a binary signal. As an example, the breakdown probabilities of recursive median "lters are calculated. ..."
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Cited by 2 (1 self)
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A method for calculating breakdown probabilities of recursive stack filters is presented. The method is based on Markov chain models and on an interpretation of a noisy signal as a binary signal. As an example, the breakdown probabilities of recursive median "lters are calculated.
The Use of Sample Selection Probabilities for Stack Filter Design
 IEEE Signal Processing Lett
, 2000
"... We propose a procedure for stack filter design that takes into consideration the filter's sample selection probabilitites. A statistical optimization of stack filters can result in a class of stack filters, all of which are statistically equivalent. Such a situation arises in cases of nonsymmet ..."
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Cited by 4 (3 self)
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We propose a procedure for stack filter design that takes into consideration the filter's sample selection probabilitites. A statistical optimization of stack filters can result in a class of stack filters, all of which are statistically equivalent. Such a situation arises in cases
Evolving Tree Representations of Stack Filters
, 1998
"... Evolutionary algorithms are applied to the design of a class of nonlinear discretetime filters: the positive Boolean function defining a stack filter is derived from its properties specified in terms of `selection probabilities'. For window size 9, with search space of at least 2 126 ..."
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Evolutionary algorithms are applied to the design of a class of nonlinear discretetime filters: the positive Boolean function defining a stack filter is derived from its properties specified in terms of `selection probabilities'. For window size 9, with search space of at least 2 126
A Fast Algorithm for Designing Stack Filters
"... Stack filters are a class of nonlinear filters with excellent properties for signal restoration. Unfortunately, present algorithms for designing stack filters can only be used for small window sizes because of either their computational overhead or their serial nature. This paper presents a new adap ..."
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Cited by 2 (0 self)
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Stack filters are a class of nonlinear filters with excellent properties for signal restoration. Unfortunately, present algorithms for designing stack filters can only be used for small window sizes because of either their computational overhead or their serial nature. This paper presents a new
Perceptually Optimal Restoration Of Images With Stack Filters
 In Proc. of the 1998 International Conference on Acoustics, Speech and Signal Processing
, 1997
"... The present approach to the MAEbased design of stack filters for image restoration does not always produce the desired visual result. Thus, in this paper, a new stack filter design algorithm is developed. It is based upon a Weighted Mean Absolute Error (WMAE) criterion instead of the traditional MA ..."
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Cited by 1 (0 self)
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The present approach to the MAEbased design of stack filters for image restoration does not always produce the desired visual result. Thus, in this paper, a new stack filter design algorithm is developed. It is based upon a Weighted Mean Absolute Error (WMAE) criterion instead of the traditional
Results 1  10
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156,083