• Title/Summary/Keyword: Gaussian filtering

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Dynamical Behavior of Autoassociative Memory Performaing Novelty Filtering

  • Ko, Hanseok
    • The Journal of the Acoustical Society of Korea
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    • v.17 no.4E
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    • pp.3-10
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    • 1998
  • This paper concerns the dynamical behavior, in probabilistic sense, of a feedforward neural network performing auto association for novelty. Networks of retinotopic topology having a one-to-one correspondence between and output units can be readily trained using back-propagation algorithm, to perform autoassociative mappings. A novelty filter is obtained by subtracting the network output from the input vector. Then the presentation of a "familiar" pattern tends to evoke a null response ; but any anomalous component is enhanced. Such a behavior exhibits a promising feature for enhancement of weak signals in additive noise. As an analysis of the novelty filtering, this paper shows that the probability density function of the weigh converges to Gaussian when the input time series is statistically characterized by nonsymmetrical probability density functions. After output units are locally linearized, the recursive relation for updating the weight of the neural network is converted into a first-order random differential equation. Based on this equation it is shown that the probability density function of the weight satisfies the Fokker-Planck equation. By solving the Fokker-Planck equation, it is found that the weight is Gaussian distributed with time dependent mean and variance.

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Gaussian Variance Filtering for Automatic Inspection of Gas Pipelines using Magnetic Flux Leakage Signal (가스 배관 자동 검사를 위한 자기 누설 신호의 가우시안 분산 필터링)

  • Han, Byung-Gil;Lee, Min-Ho;Cho, Sung-Ho;Rho, Young-Woo;Choi, Doo-Hyun
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.361-362
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    • 2006
  • Magnetic Flux Leakage (MFL) inspection is a general non-destructive testing (NDT) method to detect the corrosion of natural gas pipelines. Currently, it is subjectively analyzed by trained analysts. In spite of investing much time and human resources, the inspection results may be different according to the analysts' expertise. So, many gas suppliers are keenly interested in the automation of the interpretation process. This paper presents a Gaussian variance filtering method of MFL signals, which is taken from MFL pigging of underground pipelines. In the proposed algorithm the original MFL signals are filtered by multiple Gaussians with different variance. Experimental results show that this approach does not need to align bias and to use explicit noise reduction algorithm.

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Robust Multiuser Detection Based on Least p-Norm State Space Filtering Model

  • Zha, Daifeng
    • Journal of Communications and Networks
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    • v.9 no.2
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    • pp.185-191
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    • 2007
  • Alpha stable distribution is better for modeling impulsive noises than Gaussian distribution in signal processing. This class of process has no closed form of probability density function and finite second order moments. In general, Wiener filter theory is not meaningful in S$\alpha$SG environments because the expectations may be unbounded. We proposed a new adaptive recursive least p-norm Kalman filtering algorithm based on least p-norm of innovation process with infinite variances, and a new robust multiuser detection method based on least p-norm Kalman filtering. The simulation experiments show that the proposed new algorithm is more robust than the conventional Kalman filtering multiuser detection algorithm.

Filtering Techniques Application for Improvement on 3D Tomogram (3D Tomogram 향상을 위한 필터링 기술의 활용)

  • Ryu, Keun Yong;Cho, Hye-Jin;Chae, Hee-Su;Je, A-Reum;Jung, Hyun Suk;Kweon, Hee-Seok
    • Proceedings of the Korea Information Processing Society Conference
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    • 2010.11a
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    • pp.603-604
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    • 2010
  • 본 연구는 이미지 필터링 효과를 적용한 이미지들을 3D tomogram으로 만들었을 때 어느 정도의 효과적인 복원이 가능하고 또 어떤 해상도의 필터를 사용했을 때 더 나은 결과를 얻어 낼 수 있는 지 확인하기 위해 진행하였다. 전자현미경으로 2D tilted image들을 찍는 과정에는 고전압의 사용으로 인한 다소의 오류들이 발생한다. 따라서 이러한 오류를 상쇄시키고 3D tomogram의 질적 향상을 위하여 Gaussian low-pass filtering을 사용하였다. 또한 Gaussian low-pass filtering 내에서도 어떤 해상도 값의 필터링을 사용해야 더 나은 결과를 얻을 수 있는 지 확인하였다.

Switching Filter Algorithm using Fuzzy Weights based on Gaussian Distribution in AWGN Environment (AWGN 환경에서 가우시안 분포 기반의 퍼지 가중치를 사용한 스위칭 필터 알고리즘)

  • Cheon, Bong-Won;Kim, Nam-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.2
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    • pp.207-213
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    • 2022
  • Recently, with the improvement of the performance of IoT technology and AI, automation and unmanned work are progressing in a wide range of fields, and interest in image processing, which is the basis of automation such as object recognition and object classification, is increasing. Image noise removal is an important process used as a preprocessing step in an image processing system, and various studies have been conducted. However, in most cases, it is difficult to preserve detailed information due to the smoothing effect in high-frequency components such as edges. In this paper, we propose an algorithm to restore damaged images in AWGN(additive white Gaussian noise) using fuzzy weights based on Gaussian distribution. The proposed algorithm switched the filtering process by comparing the filtering mask and the noise estimate with each other, and reconstructed the image by calculating the fuzzy weights according to the low-frequency and high-frequency components of the image.

A Mixed Nonlinear Filter for Image Restoration under AWGN and Impulse Noise Environment

  • Gao, Yinyu;Kim, Nam-Ho
    • Journal of information and communication convergence engineering
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    • v.9 no.5
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    • pp.591-596
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    • 2011
  • Image denoising is a key issue in all image processing researches. Generally, the quality of an image could be corrupted by a lot of noise due to the undesired conditions of image acquisition phase or during the transmission. Many approaches to image restoration are aimed at removing either Gaussian or impulse noise. Nevertheless, it is possible to find them operating on the same image, which is called mixed noise and it produces a hard damage. In this paper, we proposed noise type classification method and a mixed nonlinear filter for mixed noise suppression. The proposed filtering scheme applies a modified adaptive switching median filter to impulse noise suppression and an efficient nonlinear filer was carried out to remove Gaussian noise. The simulation results based on Matlab show that the proposed method can remove mixed Gaussian and impulse noise efficiently and it can preserve the integrity of edge and keep the detailed information.

Forensic Decision of Median Filtering by Pixel Value's Gradients of Digital Image (디지털 영상의 픽셀값 경사도에 의한 미디언 필터링 포렌식 판정)

  • RHEE, Kang Hyeon
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.6
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    • pp.79-84
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    • 2015
  • In a distribution of digital image, there is a serious problem that is a distribution of the altered image by a forger. For the problem solution, this paper proposes a median filtering (MF) image forensic decision algorithm using a feature vector according to the pixel value's gradients. In the proposed algorithm, AR (Autoregressive) coefficients are computed from pixel value' gradients of original image then 1th~6th order coefficients to be six feature vector. And the reconstructed image is produced by the solution of Poisson's equation with the gradients. From the difference image between original and its reconstructed image, four feature vector (Average value, Max. value and the coordinate i,j of Max. value) is extracted. Subsequently, Two kinds of the feature vector combined to 10 Dim. feature vector that is used in the learning of a SVM (Support Vector Machine) classification for MF (Median Filtering) detector of the altered image. On the proposed algorithm of the median filtering detection, compare to MFR (Median Filter Residual) scheme that had the same 10 Dim. feature vectors, the performance is excellent at Unaltered, Averaging filtering ($3{\times}3$) and JPEG (QF=90) images, and less at Gaussian filtering ($3{\times}3$) image. However, in the measured performances of all items, AUC (Area Under Curve) by the sensitivity and 1-specificity is approached to 1. Thus, it is confirmed that the grade evaluation of the proposed algorithm is 'Excellent (A)'.

Image Optimization of Fast Non Local Means Noise Reduction Algorithm using Various Filtering Factors with Human Anthropomorphic Phantom : A Simulation Study (인체모사 팬텀 기반 Fast non local means 노이즈 제거 알고리즘의 필터링 인자 변화에 따른 영상 최적화: 시뮬레이션 연구)

  • Choi, Donghyeok;Kim, Jinhong;Choi, Jongho;Kang, Seong-Hyeon;Lee, Youngjin
    • Journal of the Korean Society of Radiology
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    • v.13 no.3
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    • pp.453-458
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    • 2019
  • In this study we analyzed the tendency of the image characteristic by changing filtering factor for the proposed fast non local means (FNLM) noise reduction algorithm with designed Male Adult mesh (MASH) phantom through Geant4 application for tomographic emission (GATE) simulation program. To accomplish this purpose, MASH phantom for human copy was designed through the GATE simulation program. In addition, we acquired degraded image by adding Gaussian noise with a value of 0.005 using the MATALB program in MASH phantom. Moreover, in degraded image, the FNLM noise reduction algorithm was applied by changing the filtering factors, which set to 0.005, 0.01, 0.05, 0.1, 0.5, and 1.0 value, respectively. To quantitatively evaluate, the coefficient of variation (COV), signal to noise ratio (SNR), and contrast to noise ratio (CNR) were calculated in reconstructed images. Results of the COV, SNR and CNR were most improved in image with a filtering factor of 0.05 value. Especially, the COV was decreased with increasing filtering factor, and showed nearly constant values after 0.05 value of the filtering factor. In addition, SNR and CNR were showed that improvement with increasing filtering factor, and deterioration after 0.05 value of the filtering factor. In conclusion, we demonstrated the significance of setting the filtering factor when applying the FNLM noise reduction algorithm in degraded image.

Design of mixed noise reduction algorithm for SEM image (전자 현미경 영상의 혼합 잡음제거 알고리즘에 관한 연구)

  • 최재혁;박선우
    • Journal of the Korean Vacuum Society
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    • v.8 no.3B
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    • pp.315-321
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    • 1999
  • In this paper, the SEM image processing system based on PC is designed, and a new noise reduction filtering algorithm is proposed. The SEM image obtained in semiconductor processing line is sensitive to noise, the weighted-D filter can remove uniform and Gaussian noise effectively, but can not remove impulse noise properly, A new improved filtering algorithm is proposed to reduce mixed-noise. The performance of the proposed filter is quantitatively evaluated by use of the normalized mean square errors (NMSE). The experimental results show that the performance of the proposed filter is obtained between 0.96 and 2.5 times better than that of weighted-D filter in NMSE evaluation.

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Sharpness-aware Evaluation Methodology for Haze-removal Processing in Automotive Systems

  • Hwang, Seokha;Lee, Youngjoo
    • IEIE Transactions on Smart Processing and Computing
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    • v.5 no.6
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    • pp.390-394
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    • 2016
  • This paper presents a new comparison method for haze-removal algorithms in next-generation automotive systems. Compared to previous peak signal-to-noise ratio-based comparisons, which measure similarity, the proposed modulation transfer function-based method checks sharpness to select a more suitable haze-removal algorithm for lane detection. Among the practical filtering schemes used for a haze-removal algorithm, experimental results show that Gaussian filtering effectively preserves the sharpness of road images, enhancing lane detection accuracy.