• Title/Summary/Keyword: differential operator

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Text Extraction Algorithm in Natural Image using LoG Operator and Coiflet Wavelet (Coiflet Wavelet과 LoG 연산자를 이용한 자연이미지에서의 텍스트 검출 알고리즘)

  • Shin, Seong;Baek, Young-Hyun;Moon, Sung-Ryong;Shin, Hong-Kyu
    • Proceedings of the IEEK Conference
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    • 2005.11a
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    • pp.979-982
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    • 2005
  • This paper is to be pre-processing that decides the text recognizability and quality contained in natural image. Differentiated with the existing studies, In this paper, it suggests the application of partially unified color models, Coiflet Wavelet and text extraction algorithm that uses the closed curve edge features of LoG (laplacian of gaussian)operator. The text image included in natural image such as signboard has the same hue, saturation and value, and there is a certain thickness as for their feature. Each color element is restructured into closed area by LoG operator, the 2nd differential operator. The text area is contracted by Hough Transform, logical AND-OR operator of each color model and Minimum-Distance classifier. This paper targets natural image into which text area is added regardless of the size and resolution of the image, and it is confirmed to have more excellent performance than other algorithms with many restrictions.

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The Variable Amplitude Coefficient Fireworks Algorithm with Uniform Local Search Operator

  • Li, Lixian;Lee, Jaewan
    • Journal of Internet Computing and Services
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    • v.21 no.3
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    • pp.21-28
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    • 2020
  • Fireworks Algorithm (FWA) is a relatively novel swarm-based metaheuristic algorithm for global optimization. To solve the low-efficient local searching problem and convergence of the FWA, this paper presents a Variable Amplitude Coefficient Fireworks Algorithm with Uniform Local Search Operator (namely VACUFWA). Firstly, the explosive amplitude is used to adjust improving the convergence speed dynamically. Secondly, Uniform Local Search (ULS) enhances exploitation capability of the FWA. Finally, the ULS and Variable Amplitude Coefficient operator are used in the VACUFWA. The comprehensive experiment carried out on 13 benchmark functions. Its results indicate that the performance of VACUFWA is significantly improved compared with the FWA, Differential Evolution, and Particle Swarm Optimization.

An Efficient Edge Detection Using Van der Waerden′s Statistic in Images (Van der Waerden의 통계량을 이용한 영상에서의 효율적인 에지검출기법)

  • 최명희;이호근;김주원;하영호
    • Proceedings of the IEEK Conference
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    • 2002.06d
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    • pp.215-218
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    • 2002
  • The edges of an image hold much of the information in that image. The edges tell where objects are, their shape and size, and something about their texture. An edge is where the intensity of an image moves from a low value to a high value. We introduce the edge detection using the differential operator with Sobel operator and describe a nonparametric Wilcoxon test based on statistical hypothesis testing for the detection of edges. This paper proposes an efficient edge detection using Van der Waerden's statistic in original and noisy images. We use the threshold determined by specifying significance level a and an edge-height parameter. Comparison with our statistical test and Sobel operator shows that Van der Waerden method perform more effectively in both noisy and noise-free images.

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Development of the digital protection relay which displays the trip area in real time (실시간 사고영역을 표현하는 디지털 보호계전기 개발)

  • Cho, Chul-Hee;Lee, Byeong-Ho;Kim, Yoon-Hoe
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.499-500
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    • 2007
  • The existing digital protection relay is continuously growing with an improvement in technology. In this paper, we propose the development of the digital protection relay which displays the trip area in real time. In most of the digital protection relays monitor whether analog signal enters into the pre-determined trip area, but those aren't provide the trip area information for a operator in real time. Therefore, if the digital protection relay continuously displays the trip area in real time, the operator analysis power system status easily. This paper particularly introduces selective ground protective relay and differential protective relay with trip area and presents a method of providing the trip area information to operator in real time.

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Coefficient Estimates for a Subclass of Bi-univalent Functions Defined by Sălăgean Type q-Calculus Operator

  • Kamble, Prakash Namdeo;Shrigan, Mallikarjun Gurullingappa
    • Kyungpook Mathematical Journal
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    • v.58 no.4
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    • pp.677-688
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    • 2018
  • In this paper, we introduce and investigate a new subclass of bi-univalent functions defined by $S{\breve{a}}l{\breve{a}}gean$ q-calculus operator in the open disk ${\mathbb{U}}$. For functions belonging to the subclass, we obtain estimates on the first two Taylor-Maclaurin coefficients ${\mid}a_2{\mid}$ and ${\mid}a_3{\mid}$. Some consequences of the main results are also observed.

FITTED OPERATOR ON THE CRANK-NICOLSON SCHEME FOR SOLVING A SMALL TIME DELAYED CONVECTION-DIFFUSION EQUATIONS

  • TEFERA, DAGNACHEW MENGSTIE;TIRUNEH, AWOKE ANDARGIE;DERESE, GETACHEW ADAMU
    • Journal of applied mathematics & informatics
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    • v.40 no.3_4
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    • pp.491-505
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    • 2022
  • This paper is concerned with singularly perturbed convection-diffusion parabolic partial differential equations which have time-delayed. We used the Crank-Nicolson(CN) scheme to build a fitted operator to solve the problem. The underling method's stability is investigated, and it is found to be unconditionally stable. We have shown graphically the unstableness of CN-scheme without fitting factor. The order of convergence of the present method is shown to be second order both in space and time in relation to the perturbation parameter. The efficiency of the scheme is demonstrated using model examples and the proposed technique is more accurate than the standard CN-method and some methods available in the literature, according to the findings.

Range of Operators and an Application to Existence of a Periodic Solution

  • Bae, Jong Sook;Sung, Nak So
    • Journal of the Chungcheong Mathematical Society
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    • v.1 no.1
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    • pp.19-26
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    • 1988
  • In this paper, we calculate the precise estimation of range of a Gateaux differentiable operator, and apply to the existence of a periodic solution of the second order nonlinear differential equation $$z^{{\prime}{\prime}}+Az^{\prime}+G(z)=e(t)=e(t+2{\pi})$$.

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DIFFERENTIAL INEQUALITIES ASSOCIATED WITH CARATHÉODORY FUNCTIONS

  • In Hwa, Kim;Nak Eun, Cho
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.4
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    • pp.773-784
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    • 2022
  • The purpose of the present paper is to estimate some real parts for certain analytic functions with some applications in connection with certain integral operators and geometric properties. Also we extend some known results as special cases of main results presented here.