• Journal of the Korean Mathematical Society
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• v.55 no.3
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• pp.719-734
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• 2018

An image restoration problem with Poisson noise arises in many applications of medical imaging, astronomy, and microscopy. To overcome ill-posedness, Total Variation (TV) model is commonly used owing to edge preserving property. Since staircase artifacts are observed in restored smooth regions, higher-order TV regularization is introduced. However, sharpness of edges in the image is also attenuated. To compromise benefits of TV and higher-order TV, the weighted sum of the non-convex TV and non-convex higher order TV is used as a regularizer in the proposed variational model. The proposed model is non-convex and non-smooth, and so it is very challenging to solve the model. We propose an iterative reweighted algorithm with the proximal linearized alternating direction method of multipliers to solve the proposed model and study convergence properties of the algorithm.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.14 no.5
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• pp.462-471
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• 1989

Two-dimensional median filters were affectively supprssing the noise in image processing with the adge smearing decreased. However, if the window were large as necessary in noise then the filter had tendency to cut off corners. An estimate of gradient was used to decide how the ouputs of the filters were calculated. For parallel to the gradient direction we used edge preserving median operation and orthogonal to that averaging subfilters over which medians were then chosen. Four different algorithms were introduced.

• International journal of advanced smart convergence
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• v.9 no.3
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• pp.118-126
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• 2020

In this paper, we present an effective single image fog removal by using the Joint Bright and Dark Channel (JBDC) and pixel-based transmission estimation to enhance the visibility of outdoor images susceptible to degradation due to weather and environmental conditions. The conventional methods include refinement process of coarse transmission with heavy computational complexity. The proposed transmission estimation reveals excellent edge-preserving performance and does not require the refinement process. We estimate the atmospheric light in pixel-based fashion, which can improve the transmission estimation performance and visual quality of the restored image. Moreover, we propose an adaptive transmission estimation to enhance the visual quality specifically in sky regions. Comprehensive experiments on various fog images show that the proposed method exhibits reduced computational complexity and excellent fog removal performance, compared with the existing methods; thus, it can be applied to various fields including real-time devices.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.9 no.6
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• pp.155-161
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• 2009

Any classification process using SAR images presupposes the reduction of multiplicative speckle noise, since the variations caused by speckle make it extremely difficult to distinguish between neighboring classes within the feature space. This paper focus an argument of effective filter for preserving the weak boundaries by using the proposed method. To reduce speckle noise without blurring the edges of reconstructed image use wavelet-based sigma filter. As a result, the edge information of reconstructed image reduce blurring. Simulation results show that proposed method gives a better subjective quality than conventional methods for the speckle noise.

• Journal of information and communication convergence engineering
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• v.6 no.1
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• pp.80-85
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• 2008

Images are often corrupted by noises during signal acquisition and transmission. Among those noises, additive white Gaussian noise (AWGN) and impulse noise are most representative. For different types of noise have different characters, how to remove them separately from degraded image is one of the most fundamental problems. Thus, a modified image restoration algorithm is proposed in this paper, which can not only remove impulse noise of random values, but also remove the AWGN selectively. The noise detection step is by calculating the intensity difference and the spatial distance between pixels in a mask. To divide two different noises, the method is based on three weighted parameters. And the weighted parameters in the filtering mask depend on spatial distances, positions of impulse noise and standard deviation of AWGN. We also use the peak signal-to-noise ratio (PSNR) to evaluate restoration performance, and simulation results demonstrate that the proposed method performs better than conventional median-type filters, in preserving edge details.

• Journal of the Korean Institute of Telematics and Electronics
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• v.25 no.3
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• pp.322-326
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• 1988

The sigma filter is a nonlinear filter of modifying average filter to develop edge-preserving characteristics. However, this filter is yet weak to the impulsive noise such as BSC noise. Therefore it has not been used so highly in the image restoration area. In this paper, We propose an adaptive image restoration algorithm using the local statistic and the characteristic of human eyes in order to compensate its drawback and to improve its performance. The performance of the proposed algorithm and the vonventional ones are compared for images degraded by BSC noise. The proposed algorithm shows better performance than the median filter and yields 5 dB performance improvement over the convertional K-sigma filter on SNR gain.

• Proceedings of the IEEK Conference
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• 2003.07e
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• pp.1711-1714
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• 2003

The noise in an image degrades image quality and deteriorates coding efficiency of compression. Recently, various edge-preserving noise filtering methods based on the nonstationary image model have been proposed to overcome this problem. In most conventional nonstationary image models, however, pixels are assumed to be uncorrelated to each other In order not to increase the computational burden too much. As a result, some detailed information is lost in the filtered results. In this paper, we propose a computationally feasible adaptive noise smoothing algorithm which considers the nonstationary correlation characteristics of images. We assume that an image has a nonstationary mean and can be segmented into subimages which have individually different stationary correlations. Taking advantage of the special structure of the covariance matrix that results from the proposed image model, we derive a computationally efficient FFT-based adaptive linear minimum mean square error filter. The justification for the proposed image model is presented and the effectiveness of the proposed algorithm is demonstrated experimentally.

• Spatial Information Research
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• v.3 no.1
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• pp.19-27
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• 1995

In this paper, a semi-automated mapping system, which can produ¬ce digital maps by using information acquired from pre-processing procedure, was introduced. To get a binary edge image, which is very important in vectori¬zation process, we applied adaptive smoothing and connection preserving thresho¬Iding algorithm. In mapper program, binary images are converted to vectors and for in-core data structure, extended PR quad tree was used. These procedures are dispatched to personal computers and workstations and through network resource sharing, the whole process was unified and simplified.

• Proceedings of the Korea Information Processing Society Conference
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• 2002.11a
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• pp.699-702
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• 2002

본 논문에서는 anisotropic diffusion 방법의 일종인 평균곡률 확산 (Mean Curvature Diffusion) 방법을 이용하여 영상에 포함된 잡음은 제거하고 동시에 에지는 보존하는 기법을 제안한다. 평균곡률 확산은 2 차원 영상의 밝기값을 3 차원 공간상의 z 좌표에 대응시켜 영상의 밝기값에 대응하는 공간 상의 곡면을 구성하고 이 곡면을 평균곡률에 비례하는 속도로 확산시킨다. 확산이 진행되면서 평균곡률이 영이 되는 에지에서는 확산이 발생하지 않고 잡음 등의 영향이 많은 에지 이외의 영역에서는 확산이 빠른 속도로 진행된다. 기존의 평균곡률 확산 방법의 성능을 개선하기 위해 최소/최대 흐름 방법을 평균곡률 확산 방법과 결합시키고 영상의 2 차 도함수를 사용하여 d얇은 에지를 보존하였다. 실험을 통해 제안한 방법이 기존의 방법보다 잡음 제거와 에지 보존 성능이 우수함을 확인할 수 있었다.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2010.05a
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• pp.393-396
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• 2010

In this paper the process of transmitting images signal restore to image corrupted by impulse noise proposed alpha-trimmed mean filter. the proposed filter first identifies the noise pixels using the morphological noise detector and then removes the detected impulse noise using the alpha-trimmed mean filter. these proposed filter can realize the accurate noise detection and it can remove impulse noise effectively while preserving edge region in the image very well. Through the simulation, we compared with the existing methods and capabilties.