• KSII Transactions on Internet and Information Systems (TIIS)
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• 제7권11호
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• pp.2702-2719
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• 2013

A new optimal scheme based on curvelet transform is proposed for retinal image enhancement (RIE) using real-coded quantum genetic algorithm. Curvelet transform has better performance in representing edges than classical wavelet transform for its anisotropy and directional decomposition capabilities. For more precise reconstruction and better visualization, curvelet coefficients in corresponding subbands are modified by using a nonlinear enhancement mapping function. An automatic method is presented for selecting optimal parameter settings of the nonlinear mapping function via quantum genetic search strategy. The performance measures used in this paper provide some quantitative comparison among different RIE methods. The proposed method is tested on the DRIVE and STARE retinal databases and compared with some popular image enhancement methods. The experimental results demonstrate that proposed method can provide superior enhanced retinal image in terms of several image quantitative evaluation indexes.

• 한국음향학회지
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• 제43권4호
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• pp.406-413
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• 2024

본 논문은 임펄스성 잡음에 견실한 시간 지연을 추정 방법을 제안한다. 제안하는 방법은 Generalized Cross Correlation - Phase Transform(GCC-PHAT) 방법에 비선형 전처리와 주파수 영역 저역 통과 필터를 사용한다. 본 논문에서는 GCC-PHAT의 연산 과정을 DFT로 다시 해석함으로써 GCC-PHAT에서 시간 지연 추정에 실제 사용되는 유효한 주파수 대역이 있음을 파악하고, 저역 통과 필터 사용하여 유효 대역만을 사용하면 잡음 성분을 줄여서 시간 추정 성능을 향상시킬 수 있음을 보인다. 제안한 방법을 임펄스성 잡음 환경에서 전통적인 GCC-PHAT와 비교함으로써 추정 견실성이 향상됨을 보인다.

• 전자공학회논문지A
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• 제33A권6호
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• pp.178-188
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• 1996

In this paper, we propose a new opto-digital object recognition system which has rotation, scale, and shift invariant characteristics. The fourier power spectrum of the object image is modified to get shift invariance. The log-polar transform is used for rotation and scale invariance. And the decision of similarities is performed by nonlinear joint transform correlator (NJTC) that can control the ratio of phase and amplitude signals. Experimental verification of th eproposed optical object recognition system is presented.

• Journal of the Optical Society of Korea
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• 제14권4호
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• pp.357-362
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• 2010

The joint transform correlator (JTC) has been the best known technique for pattern recognition and identification. This paper proposes a new technique of fringe adjustment by adopting a sinusoidal amplitude-modulated iterative filter convolved with an interference fringe pattern in the joint power spectrum (JPS) domain. The comparison of our new technique and other techniques is presented to show that the newly proposed technique can successfully improve both the correlation peaks and the peak signal-to-noise ratio (PSNR). Simulated results of enhanced interference fringes are also presented.

• 대한수학회논문집
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• 제10권1호
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• pp.133-135
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• 1995

In this note, we will investigate the radial symmetry of some kind of solutions of nonlinear ellipitic equations $$ \Delta U = f(U) $$ $$ (1.1) U = 0 in B $$ $$ U \in C^2 (\bar{B}) on \partial B$$ Here f is $C^1$ and B denotes a n-dimensional unit ball in $R^n$.

• 한국기계가공학회지
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• 제3권2호
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• pp.32-38
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• 2004

The chatter behaviour in endmilling is a complex and nonlinear phenomenon, so it is very difficult to detect and diagnose this chatter phenomenon, This paper presents new method for the detection of chatter in endmilling operation based on the wavelet transform. In this paper, the fundamental property of the wavelet transform is reviewed by comparing the spectrum of other algorithm such as FFT. This result using wavelet transform shows the possibiling of the chatter detection in endmilling operation.

• Nuclear Engineering and Technology
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• 제39권3호
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• pp.221-230
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• 2007

Wavelet theory was applied to detect a singularity in a reactor power signal. Compared to Fourier transform, wavelet transform has localization properties in space and frequency. Therefore, using wavelet transform after de-noising, singular points can easily be found. To test this theory, reactor power signals were generated using the HANARO(a Korean multi-purpose research reactor) dynamics model consisting of 39 nonlinear differential equations contaminated with Gaussian noise. Wavelet transform decomposition and de-noising procedures were applied to these signals. It was possible to detect singular events such as a sudden reactivity change and abrupt intrinsic property changes. Thus, this method could be profitably utilized in a real-time system for automatic event recognition(e.g., reactor condition monitoring).

• Nonlinear Functional Analysis and Applications
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• 제26권2호
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• pp.381-392
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• 2021

During the last several decades, a great variety of fractional kinetic equations involving diverse special functions have been broadly and usefully employed in describing and solving several important problems of physics and astrophysics. In this paper, we aim to find solutions of a type of fractional kinetic equations associated with the (p, q)-extended 𝜏 -hypergeometric function and the (p, q)-extended 𝜏 -confluent hypergeometric function, by mainly using the Laplace transform. It is noted that the main employed techniques for this chosen type of fractional kinetic equations are Laplace transform, Sumudu transform, Laplace and Sumudu transforms, Laplace and Fourier transforms, P_𝛘-transform, and an alternative method.

• Smart Structures and Systems
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• 제22권6호
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• pp.711-725
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• 2018

Most of the practical engineering structures exhibit nonlinearity due to nonlinear dynamic characteristics of structural joints, nonlinear boundary conditions and nonlinear material properties. Hence, it is highly desirable to detect and characterize the nonlinearity present in the system in order to assess the true behaviour of the structural system. Further, these identified nonlinear features can be effectively used for damage diagnosis during structural health monitoring. In this paper, we focus on the detection of the nonlinearity present in the system by confining our discussion to only a few selective time-frequency analysis and multivariate analysis based techniques. Both damage induced nonlinearity and inherent structural nonlinearity in healthy systems are considered. The strengths and weakness of various techniques for nonlinear detection are investigated through numerically simulated two different classes of nonlinear problems. These numerical results are complemented with the experimental data to demonstrate its suitability to the practical problems.

• 한국산학기술학회논문지
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• 제16권1호
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• pp.658-665
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• 2015

의료영상에서 잡음을 제거하는 것과 명암대비를 좋게하는 것은 화질을 향상시키는 중요한 방법이다. 본 논문에서는 의료영상의 화질 향상을 위해 에지 기반 잡음 제거 방법과 적응적 비선형 히스토그램 스트레칭 알고리즘을 제안한다. 첫째, 웨이블릿 변환을 수행하고 분해된 고주파 부밴드 각각에 대해 Haar 변환을 수행한다. 동시에 수평, 수직, 대각 방향의 Sobel 마스크를 적용하여 방향별 에지를 검출한다. 둘째, 고주파 부밴드에 대해 에지 기반 적응적 문턱치를 이용하여 잡음을 제거한다. 셋째, 적응적 가중치를 이용하여 고주파 부밴드 계수 값을 향상한 후, Haar 역변환 및 웨이블릿 역변환을 수행하여 복원영상을 얻는다. 마지막으로 복원된 영상의 화소 값의 범위가 좁아졌으므로 제안하는 비선형 히스토그램 스트레칭 알고리즘을 이용하여 명암대비가 향상된 영상을 얻는다. 제안한 알고리즘을 낮은 명암대비를 갖는 의료영상에 적용했을 경우 효율적으로 에지를 보존하면서도 시각적으로 우수한 결과를 얻었다.