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Showing papers on "Median filter published in 1982"


Journal ArticleDOI
TL;DR: It is proved that the output of a recursive median filter is invariant to subsequent passes by the same filter and that for nonmedian nth ranked-order operations, repeated application of the operation will reduce any signal to a constant.
Abstract: Some modifications of the median filter are given and their properties are derived. In addition, some results for standard median filters are given. It is shown that for nonmedian nth ranked-order operations, repeated application of the operation will reduce any signal to a constant. Also, it is proved that the output of a recursive median filter is invariant to subsequent passes by the same filter.

505 citations


Journal ArticleDOI
TL;DR: A tree structure for the root signal set of median filters, where signals invariant to median filters are called roots of the signal, is obtained for binary signals.
Abstract: Median filtering is a simple digital technique for smoothing signals. One main characteristic of the filter is that it maps the input signal space into a root signal space, where signals invariant to median filters are called roots of the signal. In this paper, we develop the theory for the root signal set of median filters. A tree structure for the root signal set is obtained for binary signals. The number of roots R (n) for a signal of length "n" and window size filter "2s- 1" is exactly represented by the difference equation R(n) = R(n - 1) + R(n - s). A general solution is obtained in a Z domain approach. Finally, a method for faster one dimensional median filter operation is introduced.

92 citations


Journal ArticleDOI
TL;DR: In this paper, three operating modes: averaging, recursive filtering and Kalman filtering have been investigated, and it is shown that there is an optimum choice of filter parameters for each of them.
Abstract: SUMMARY Digital framestores can be used to reduce noise in TV rate electron microscope images. Three operating modes: averaging, recursive filtering and Kalman filtering have been investigated. It is shown that there is an optimum choice of filter parameters.

53 citations


Journal ArticleDOI
TL;DR: The application of the rank filters to a set of test images shows that there is no simple way to describe their action on the spectrum by means of a transfer or autocorrelation function and the smoothing of the median filter cannot be described in terms of a low-pass filter, but rather by the reduction of the mean local variance.

46 citations


Proceedings Article
18 Aug 1982
TL;DR: Two theorems show that this quantity attains a local maximum at a corner point in the gradient of θ (the gradient direction) in a grey level image is employed for detecting candidates for corner points.
Abstract: In our algorithm the gradient of θ (the gradient direction) in a grey level image is employed for detecting candidates for corner points. Two theorems show that this quantity attains a local maximum at a corner point. Two approaches, median filtering and Hough transform are used effectively to distinguish corner points from noise points. The corner points formed by our algorithm are used in interframe matching.

31 citations


Proceedings ArticleDOI
03 May 1982
TL;DR: A generalized comb filtering technique, which applies a time-varying weighting to each pitch period, is mathematically analyzed and shown to be capable of breaking up the noise structure, in addition to comb filtering.
Abstract: Because of speech signals nonstationarity, usual comb filtering of noisy speech signals results only in a modest improvement in signal to noise ratio, and only in a small perceptual reduction of structured noise or interference. A generalized comb filtering technique, which applies a time-varying weighting to each pitch period, is mathematically analyzed and shown to be capable of breaking up the noise structure, in addition to comb filtering. This is found to provide a meaningful perceptual improvement when the noise or interference are structured. The mathematical analysis is facilitated by using a polyphase network model of the generalized comb filter. Design constraints and rules are developed and several filter families are proposed. Computer simulation results are discussed.

18 citations


Patent
06 Aug 1982
TL;DR: In this paper, the authors proposed a real-time median filter based on a comparison between the input data (101-107) and a monotonically-scanning reference function (110).
Abstract: Operating at real-time data rates, the disclosed hardware network generates a signal which closely approximates the Mth-largest of a set of R input data signals. The operational basis of this network is a comparison (121-127) between the input data (101-107) and a monotonically-scanning reference function (110). At that point (140, 150, 160) when the lower (R-M+1) of the inputs have been equaled by an increasing reference, the reference has become the same as the Mth-largest and is used (119b, 165, 170, 175) as the filter output. Analogous operation is achieved with a decreasing reference. When the number R of inputs is odd and M is made equal to ((R+1)/2), the network becomes a real-time median filter.

16 citations


Journal ArticleDOI
TL;DR: With the Logical Filter, video signals in the time domain are assumed to be a set of "patterns" and the pattern recognition logic is applied to the filtering of the video signals.
Abstract: In this paper we describe a new filtering technique for processing video signals called the "LOGICAL FILTER". With the Logical Filter, video signals in the time domain are assumed to be a set of "patterns" and the pattern recognition logic is applied to the filtering of the video signals.

11 citations


Proceedings ArticleDOI
03 May 1982
TL;DR: A nonlinear filter whose output is given by a linear combination of the order statistics of the input sequence, where the coefficients in the linear combination are chosen to minimize the output MSE for several noise distributions.
Abstract: In this paper we consider a nonlinear filter whose output is given by a linear combination of the order statistics of the input sequence. Assuming a constant signal in white background noise, the coefficients in the linear combination are chosen to minimize the output MSE for several noise distributions. This new general filter is superior to the well-known median filter, since the median is just a special case.

10 citations


Proceedings ArticleDOI
30 Jul 1982
TL;DR: In this paper, a hardware median filter is described, which is designed to filter imagery at a real-time rate of 10X106 pixels/second, where the data is windowed with line buffers, and propagates through n pipe-lined stages where n is the number of bits in a pixel.
Abstract: A hardware median filter is described which is designed to filter imagery at a real-time rate of 10X106 pixels/second. The data is windowed with line buffers, and propagates through n pipe lined stages where n is the number of bits in a pixel. The algorithm described is a form of the radix method of Atamanl modified to reduce the decisionmaking at each stage. Each stage is nearly identical thus making the filter very structured and modular. The filter can be implemented with available logic components and would be useful as a preprocessor in a pattern recognition system.© (1982) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

10 citations


Journal ArticleDOI
TL;DR: Previous work with the LMS algorithm is compared to the performance resulting from new methods which address the problem created by widespread eigenvalues in the speech plus noise correlation matrix and it is shown that failure to deal with this problem in the single reference application results in a muffling resonant distortion of the speech spectrum.
Abstract: Adaptive filtering is employed in configurations to filter narrow‐band speech corrupted by noise. These configurations utilize either an independent sample of the input noise or rely on correlation properties of the speech to accomplish cancellation. Necessary constraints on the algorithms to retain and/or improve intelligibility for normal and hearing‐impaired populations are presented. Previous work with the LMS algorithm is compared to the performance resulting from new methods which address the problem created by widespread eigenvalues in the speech plus noise correlation matrix. It is shown that failure to deal with this problem in the single reference application results in a muffling resonant distortion of the speech spectrum. Spectral averages of the original and processed versions of the speech segments are compared to determine improvement. Auditory tests are presented in the companion paper.

Proceedings ArticleDOI
01 May 1982
TL;DR: A Kalman filter procedure is illustrated for the reduction of muscular noise superimposed to the electroencephalografic traces (EEG) which has a bandwidth which overlaps the signal carrying the information content useful for the clinical standpoint and can not be removed by means of classical digital filtering.
Abstract: In the present paper a Kalman filter procedure is illustrated for the reduction of muscular noise superimposed to the electroencephalografic traces (EEG). Such a noise, in fact, has a bandwidth which overlaps the signal carrying the information content useful for the clinical standpoint and, therefore, can not be removed by means of classical digital filtering. A Markov model is used for identifying the signal model (supposed generated by an ARMA process) and the noise model (conceived on the basis of experiments of neurophysiological evidence). The experimental results show a good performance of the filter on the discrete-time EEG signal which is also quantified by the spectral information and the values of the prediction error of the filter itself. Comparison is then carried on with a classical low-pass FIR filter (mostly used in practice) which can not be aggressive enough towards the noise contained in the signal bandwidth but which can undoubtly ameliorate the performance of the Kalman filter.

Journal ArticleDOI
TL;DR: The noise sensitivity of interpolation and extrapolation matrices is investigated and the extrapolation matrix is shown to be ill-conditioned, thus demonstrating severe sensitivity to input noise.
Abstract: The noise sensitivity of interpolation and extrapolation matrices is investigated. For certain bandwidth and truncation parameters, the interpolation matrix is shown to yield results at a lower noise level than the input data. The input noise level, however, can be lowered by filtering the result. The noise level in the interpolated interval is shown to be lower near where the image is known. The extrapolation matrix is shown to be ill-conditioned, thus demonstrating severe sensitivity to input noise.

Proceedings ArticleDOI
01 Nov 1982
TL;DR: In this paper, the problem of reducing image noise and aberrant structures while conserving image sharpness is approached in the context of scintigraphy, and median filters are shown to be superior to conventional smoothing techniques in these applications.
Abstract: The problem of reducing image noise and aberrant structures while conserving image sharpness is approached in the context of scintigraphy. Suitably constructed median filters are shown to be superior to conventional smoothing techniques in these applications.© (1982) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

Proceedings ArticleDOI
03 May 1982
TL;DR: An algorithm for adaptive filtering of speech in additive acoustic noise is presented and the quality of noisy speech signals band-limited to (300-3.300) Hz can be improved for input signal to noise ratios as low as -5dB.
Abstract: An algorithm for adaptive filtering of speech in additive acoustic noise is presented In comparison with other speech enhancement algorithms a very low computational cost is required The efficiency of the algorithm is achieved by proper modifications of a Wiener optimum filter with a filter bank Due to the use of digital Lerner band pass filters a very compact filter bank structure is obtained The speech enhancement system has been implemented with INTEL 2920 signal processors As a result, the quality of noisy speech signals band-limited to (300-3300) Hz can be improved for input signal to noise ratios as low as -5dB

Patent
18 Jun 1982
TL;DR: In this article, the authors propose to extract a median in a short time with a simple hardware, by controlling the replacement between a data stored in a storage means and an input data with input data comparison means.
Abstract: PURPOSE:To extract a median in a short time with a simple hardware, by controlling the replacement between a data stored in a storage means and an input data with an input data comparison means. CONSTITUTION:In extracting the median from n(=7) pieces of input data, n/2+ 1(=4) sets of registers are prepared and input data 9-16 of n/2+1(=4) sets are set in the registers as they are. Data (2-8) inputted next are compared with the maximum value (or minimum value) of the data set in the registers are compared, the data is replaced repetitively and the maximum value 13 (or minimum value) of each register is extracted finally and used as the median.

Proceedings ArticleDOI
M Cocklin1, G Kaye1, I Kerr, P Lams
01 Nov 1982
TL;DR: The use of statistically based image enhancement techniques applied to chest radiographs has been investigated, including Unsharp Masking, Statistical Differencing and Median Filtering.
Abstract: The use of statistically based image enhancement techniques applied to chest radiographs has been investigated. These techniques include Unsharp Masking, Statistical Differencing and Median Filtering. Their properties are studied and similarities highlighted. In addition, the artefacts produced in the processing are considered, along with techniques for reducing their effects. The application to radiographic images of the chest is described, with consideration of computational requirements.© (1982) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

Proceedings ArticleDOI
08 Mar 1982
TL;DR: A new image analysis technique is presented in which a modified version of the Hough transform is employed, and the results of a new edge detection algorithm that employs median filtering prior to edge enhancement, and locally adaptive thresholding in edge detection.
Abstract: A new image analysis technique is presented in which a modified version of the Hough transform is employed. This transform algorithm operates on edge images in which the polarity of the edge, relative to a reference direction in the image plane, is preserved. The edge polarity is represented by a positive or negative sign resulting from the differentiation operation used in the edge enhancement algorithms. The new Hough transform creates a positive or a negative peak for each edge depending on the polarity of the linear edge features. The polarity information plays a major role in forming or testing a scene hypothesis directly from the Hough transform output. In many applications simple logic performs the equivalent task of several complicated testing procedures. These procedures are normally required after ordinary Hough transformation for the acceptance or rejection of a scene hypothesis. An example is presented in which the objective is to detect a generic river and bridge scene from a range-azimuth image created by an active millimeter wave sensor. In this example, the new Hough transform succeeds in detecting and interpreting the scene, both when it consists of the river and bridge, or the river alone. Also presented as a part of the overall algorithm, are the results of a new edge detection algorithm that employs median filtering prior to edge enhancement, and locally adaptive thresholding in edge detection. Both of these techniques have significantly increased the robustness of the edge detection algorithm, which in turn, has improved the overall performance of the scene analysis algorithm.

08 Feb 1982
TL;DR: In this article, a digital model was developed which simulates the physical process of speckle noise generation in coherent imagery, which was used to determine the effectiveness of two-dimensional digital filters for the reduction of the noise.
Abstract: : A digital model was developed which simulates the physical process of speckle noise generation in coherent imagery. This was used to determine the effectiveness of two-dimensional digital filters for the reduction of speckle noise. Median filters, ranked order filters, and separable combinations of these were evaluated and found to yield good improvement in image signal-to-noise ratios. (Author)

Journal ArticleDOI
TL;DR: Digital image enhancement techniques were employed in an effort to improve the resolution of Anger camera liver images under the premise that methods which improve lesion detectability in liver phantoms should also do so in actual liver scintigrams.
Abstract: Digital image enhancement techniques were employed in an effort to improve the resolution of Anger camera liver images. The premise employed was that methods which improve lesion detectability in liver phantoms should also do so in actual liver scintigrams. The types of image processing evaluated were: contrast enhancement, finite and infinite impulse response, modulation transfer function correction, homomorphic and median filtering. Observers were used to evaluate each method for its ability to improve lesion detectability using a five category rating system. The localization receiver operating characteristic (LROC) curve was used as the primary rank ordering method. A point system and analysis of variance were used as corroborative methods, incorporating measures of accuracy and consistency of the observers' answers.

Proceedings ArticleDOI
01 Nov 1982
TL;DR: A polynomal approximation algorithm within the scope of the window method of designing 2D Finite-duration Impulse Response (FIR) digital filters is presented, with which it is possible to design lowpass-, highpass-, bandpass-, and bandstop-filters of arbitrary shape, size and position in the 2D frequency domain.
Abstract: Depending on the adjustment of data acquisition devices, medical images may be degraded by structured noise, which has to be removed before further steps of image processing techniques like contour finding or feature extraction are applied. In the 2D frequency domain of an image, structured noise usually is characterized by a pattern with relatively sharp bounded regions. So, to loose not too much image information by filtering, it is necessary to apply a digital filter, whose bandstop-region has nearly the same pattern as the structured noise region. In this paper, a polynomal approximation algorithm within the scope of the window method of designing 2D Finite-duration Impulse Response (FIR) digital filters is presented, with which it is possible to design lowpass-, highpass-, bandpass-, and bandstop-filters of arbitrary shape, size and position in the 2D frequency domain. The effect of enhancement by this method on a 2D-echocardiogram degraded by ripple structured noise is demonstrated.© (1982) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

Proceedings ArticleDOI
01 May 1982
TL;DR: It is shown that the various gradient computations and template matching schemes work efficiently on estimated image to extract vital features from the image for the future analysis and studies and confirm the feasibility of these algorithms.
Abstract: This paper deals with noise reduction in images using two-dimensional Kalman filtering. To reduce the computational load and the memory storage, updating of state vector is done within a certain distance of the point currently being processed, the support of the filter and dynamical model is restricted to a non-symmetric half plane. Direct histogram specification method is combined with Kalman filtering algorithm. Significant improvement in the quality of the image is obtained. The technique used is particularly attractive for on-line applications. It is also shown that the various gradient computations and template matching schemes work efficiently on estimated image to extract vital features (edges) from the image for the future analysis and studies. The results obtained confirm the feasibility of these algorithms.

Proceedings ArticleDOI
01 May 1982
TL;DR: A new structure which combines the correlofilter and the Widrow adaptive filter, is proposed, which is shown to be superior to the isolated structures, given equivalent filtering dimensions.
Abstract: We consider the problem of the continuous estimation of an unknown signal S(t) disturbed by an additive noise B 1 (t) when in presence of a reference input consisting only of a noise B 2 (t), correlated with B 1 (t). The signal is independent of the noises. A new structure which combines the correlofilter and the Widrow adaptive filter, is proposed. Experimentally, the system is evaluated and compared to the isolated structures. In the studied cases, the combined structure is shown to be superior to the isolated structures, given equivalent filtering dimensions.


Patent
25 Sep 1982
TL;DR: In this paper, the median of the mask data is obtained in a high speed and to realize high efficiency for the processing of pictures, by dividing the density levels of the data on each picture element of mask for each hierarchical section.
Abstract: PURPOSE:To obtain the median of the mask data in a high speed and to realize high efficiency for the processing of pictures, by dividing the density levels of the data on each picture element of the mask for each hierarchical section. CONSTITUTION:A comparison data producing circuit 2 delivers the median of the multivalue level when the signal is first supplied from a decision stage producing circuit 1 and compares the median with the multivalue data. Based on the result of comparison, the next comparison data is delivered from the circuit 2 to be compared successively to obtain the median of the mask data. Thus the median can be obtained in a high speed.

Proceedings ArticleDOI
01 May 1982
TL;DR: A new algorithm is proposed which splits the luminance signal of complex images into plateau Luminance signal and texture, based on 2-D median filtering with adaptive support shape and offset as estimator of the local-luminance mean value.
Abstract: In this paper, image restoration in the context of visual quality criterion and two-component image model is considered. Taking a signal as a two additive components is a very useful way for modeling the two fundamental features of images : edges and textures. We propose a new algorithm which splits the luminance signal of complex images into plateau luminance signal and texture. The method is based on 2-D median filtering with adaptive support shape and offset as estimator of the local-luminance mean value. Using an objective visual quality criterion deduced from a model of human perception, separate adaptive 2-D linear filtering are performed on the two components according to specific action the degradations have made on.


Journal ArticleDOI
TL;DR: A ROM-based circuit is described for the implementation of finite-impulse-response (FIR) filters used to generate multilevel Gaussian noise signals from pseudorandom binary noise signals.
Abstract: A ROM-based circuit is described for the implementation of finite-impulse-response (FIR) filters used to generate multilevel Gaussian noise signals from pseudorandom binary noise signals. A particular advantage of the circuit is that it can be constructed from readily available, standard components.