• Journal of Broadcast Engineering
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• v.21 no.2
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• pp.157-168
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• 2016

In image processing and computer vision fields, mean squared error (MSE) has popularly been used as an objective metric in image quality optimization problems due to its desirable mathematical properties such as metricability, differentiability and convexity. However, as known that MSE is not highly correlated with perceived visual quality, much effort has been made to develop new image quality assessment (IQA) metrics having both the desirable mathematical properties aforementioned and high prediction performances for subjective visual quality scores. Although recent IQA metrics having the desirable mathematical properties have shown to give some promising results in prediction performance for visual quality scores, they also have high computation complexities. In order to alleviate this problem, we propose a new fast IQA metric using a simple Laplace operator. Since the Laplace operator used in our IQA metric can not only effectively mimic operations of receptive fields in retina for luminance stimulus but also be simply computed, our IQA metric can yield both very fast processing speed and high prediction performance. In order to verify the effectiveness of the proposed IQA metric, our method is compared to some state-of-the-art IQA metrics. The experimental results showed that the proposed IQA metric has the fastest running speed compared the IQA methods except MSE under comparison. Moreover, our IQA metric achieves the best prediction performance for subjective image quality scores among the state-of-the-art IQA metrics under test.

• Korean Journal of Social Welfare
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• v.67 no.1
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• pp.165-187
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• 2015

This study was designed to examine the influence of social-environment factors on high risk alcohol consumption. The study analyzed 229 local areas throughout Korea. Main variables included high risk alcohol consumption and environment factors such as population structure, liquor stores. For exploring the problem drinking, geographically weighted regression(GWR) using the geographic information system(GIS) was utilized to analysis. Major findings are rate of perceived stress, number of restaurants and bars. Especially problem drinking were influenced restaurants and bars, and the form or aim of restaurants and bars had differentiability to the problem drinking. These results have implication about the regulation policy of alcohol availability for prevention of alcohol related problems.

• Journal of applied mathematics & informatics
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• v.31 no.3_4
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• pp.399-416
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• 2013

The semilocal convergence of a third order iterative method used for solving nonlinear operator equations in Banach spaces is established by using recurrence relations under the assumption that the second Fr´echet derivative of the involved operator satisfies the ${\omega}$-continuity condition given by $||F^{\prime\prime}(x)-F^{\prime\prime}(y)||{\leq}{\omega}(||x-y||)$, $x,y{\in}{\Omega}$, where, ${\omega}(x)$ is a nondecreasing continuous real function for x > 0, such that ${\omega}(0){\geq}0$. This condition is milder than the usual Lipschitz/H$\ddot{o}$lder continuity condition on $F^{\prime\prime}$. A family of recurrence relations based on two constants depending on the involved operator is derived. An existence-uniqueness theorem is established to show that the R-order convergence of the method is (2+$p$), where $p{\in}(0,1]$. A priori error bounds for the method are also derived. Two numerical examples are worked out to demonstrate the efficacy of our approach and comparisons are elucidated with a known result.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2015.11a
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• pp.81-83
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• 2015

객관적 영상 화질 측정(Image Quality Assessment: IQA)방법은 영상 화질 최적화 문제해결을 목적으로 하는 영상 처리 및 컴퓨터 비전 분야에 매우 중요하게 사용된다. 이를 위해, 저복잡도, 고성능 및 좋은 수학적 특성(예를 들어, 척도성(metricability), 미분가능성(differentiability) 및 볼록 성질(convexity))을 모두 만족시키는 객관적 IQA 방법이 활발히 연구되어 왔다. 그러나, 위해 위에서 언급한 좋은 수학적 특성을 가지는 대부분의 객관적 IQA 방법들은 좋은 수학적 특성을 만족시키기 위해 상당한 예측성능의 감소를 초래했다. 본 논문은 위에서 언급한 좋은 수학적 특성을 모두 만족시키면서, 예측 성능이 향상된 새로운 IQA 방법을 제안한다. 인간 시각 체계의 감수영역은 광도 입력에 대해 공간 도메인에서 미분 형태의 응답을 가지므로, 제안 방법은 이러한 시각 체계 응답을 모방하여 기울기 연산자를 도입한다. 제안한 방법에서 도입한 기울기 연산자는 매우 단순하게 설계되어, 계산 복잡도가 매우 낮다. 광범위한 실험 결과, 제안하는 IQA 방법은 기존 수학적 특성이 좋은 IQA 방법들 대비 더 좋은 성능을 보이면서 계산 복잡도 또한 낮았다. 따라서 제안 IQA 방법은 다양한 영상 화질 최적화 문제에 매우 효과적으로 적용될 수 있다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.24 no.4
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• pp.355-364
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• 2011

In this study, the details of WSA(wavelet series analysis) have been demonstrated to solve the 4th-order elliptic differential equation. It is clear to solve the 2nd-order elliptic differential equation with the basis function of Hat wavelet series that is used in the previous study existed in $H^1$-space. However, it is difficult to solve the 4th order differential equation with same basis function of Hat wavelet series because of insufficient differentiability and integrability. To overcome this problem, the linear equations in terms of moment and deflection have been formulated and solved sequentially that are similar to extension of Elastic Load Method and Moment Area Method in some senses. Also, the differences and common points between the proposed method and the meshless method are discussed in the procedure of WSA formulation. As we expect, it is easy to ascertain that the more terms of Hat wavelet series are used, the better numerical solutions are improved. Also the solutions obtained by WSA have been compared with the conventional FEM solutions in case of Euler beam problems with stress singularity.