• Journal of the Institute of Electronics Engineers of Korea SC
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• v.49 no.4
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• pp.23-35
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• 2012

This paper presents a 3-D pose (position and orientation) estimation method for an elliptic object in 3-D space. It is difficult to resolve the problem of determining 3-D pose parameters with respect to an elliptic feature in 3-D space by interpretation of its projected feature onto an image plane. As an alternative, we propose a two points-based pose estimation algorithm to seek the 3-D information of an elliptic feature. The proposed algorithm determines a homogeneous transformation uniquely for a given correspondence set of an ellipse and two coplanar points that are defined on model and image plane, respectively. For each plane, two triangular features are extracted from an ellipse and two points based on the polarity in 2-D projection space. A planar homography is first estimated by the triangular feature correspondences, then decomposed into 3-D pose parameters. The proposed method is evaluated through a series of experiments for analyzing the errors of 3-D pose estimation and the sensitivity with respect to point locations.

• Journal of Ocean Engineering and Technology
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• v.12 no.1
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• pp.120-127
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• 1998

An Elliptic model for calculating the combined refraction/diffraction of monochromatic linear waves is developed, including a term which allows for the dissipation of wave energy. Conjugate gradient method is employed as a solution technique. Wave height variations are calculated for localized circular and rectangular dissipation areas. It is shown that the numerical results agree very well with analytical solution in the case of circular damping region. The localized dissipation area creates a shadow region of low wave energy and the recovery of wave height by diffraction occurs very slowly with distance behind the damping region.

• Korean Journal of Mathematics
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• v.12 no.1
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• pp.77-90
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• 2004

The purpose of this paper is to give a sufficient condition for the existence, nonexistence and uniqueness of coexistence of positive solutions to a rather general type of elliptic competition system of the Dirichlet problem on the bounded domain ${\Omega}$ in $R^n$. The techniques used in this paper are upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations. This result yields an algebraically computable criterion for the positive coexistence of competing species of animals in many biological models.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.4 no.1
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• pp.10-17
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• 1992

An elliptic finite difference numerical model is presented for the effective calculation of wave transformation on the water of slowly varying sea bed with currents. Elliptic governing equation has been used, which is derived by Joeng(1990) and Chae et al(1989). Numerical results are compared with analytic solution and laboratory data(Ito and Tanimoto, 1972), and show good agreement. This model is very efficient for modelling large area because of no numerical stable condition and high calculation speed. The capability and utility of the model are illustrated by application to current coexisting area.

• Transactions of the Korean Society of Mechanical Engineers
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• v.12 no.3
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• pp.607-621
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• 1988

The paper describes the incorporation of an algebraic stress model(ASM) of turbulence in to a semi-elliptic solution procedure for the prediction of turbulent flow in passage around a 180.deg. square sectioned bend. The numerical results are obtained from a finite-volume discretization with applications of QUICK scheme and full find grid system without PSL approximation. Results show that the better agreements in velocity profiles with experimental data than those from k, $\varepsilon$ equation model with wall function and PSL are obtained. Predictions of Reynolds stresses also show good agreements with the experimental data.

• Journal of the Society of Naval Architects of Korea
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• v.48 no.1
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• pp.42-48
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• 2011

To define ice as a solid material, mathematical and physical characteristics and their application examples are investigated for several materials' yield functions which include isotropic elastic, isotropic elastic-plastic, classical Drucker-Prager, Drucker-Prager Cap, Heinonen's elliptic, Derradji-Aouat's elliptic, and crushable foam models. Taking into account brittle failure mode of ice subject to high loading rate or extremely low temperature, isotropic elastic model can be better practicable than isotropic elastic-plastic model. If a failure criterion can be properly determined, the elastic model will provide relatively practicable impact force history from ice-hull interactions. On the other hand, it is thought that the soil models can better predict the ice spalling mechanism, since they contain both terms of shear stress-induced and hydrostatic stress-induced failures in the yield function.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.6 no.3
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• pp.216-225
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• 1994

By use of laboratory experiment data set for an elliptic shoal by Berkhoff et al. (1982), both accuracy and Performance tests of numerical results between PCGM (Preconditioned Conjugate Gradient Method) and PA(Parabolic Approximation) are compared. Although both results show good agreement with the experimental data the PA model gives better reproduction of the relatively high amplitudes in the section 4-5 downwave of the shoal, in comparison with the PCGM. The PA model has been proved to be a useful tool for predicting wave transformationsin large shallow water region, but it can be applied only to the case of negligible reflection. On the other hand, there is a need to improve the computational efficiency of the PCGM model which is a finite difference scheme directly derived from the mild slope equation and can handle reflection. By taking the results of th PA model as an input data of the PCGM, the CPU time can be reduced by about 40%.

• Transactions of the Korean Society of Mechanical Engineers
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• v.12 no.1
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• pp.28-35
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• 1988

Experimental study has been carried out on natural convection in the annuli formed by two isothermal horizontal inner and outer elliptic cylinders with uniform gap. The eccentricities of inner and outer elliptic cylinder and the gap ratio for the experimental model were 0.5078, 0.389 and 0.363 respectively. The temperature distributions were obtained through the analysis of interferograms which were taken by Mach-Zehnder interferometer in the range of Rayleigh number (Ra$_{L}$) from 0.34*10$^{4}$ to 3.07*10$^{4}$. It showed that flow was laminar when Ra$_{L}$.leg. 2.5 *10$^{4}$, while above the range of Rayleigh number we could get information on the fluctuation of interference fringe. Therefore, the upper limit of Ra$_{L}$ for the correlation equation of mean equivalent conductivity in reference(1) is confirmed. The flow pattern could be visualized by simple smoke test. The comparison of streamlines, isotherms, temperature distributions and local equivalent heat conductivity between existing numerical and present experimental results showed good agreement.ement.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.13 no.2
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• pp.978-1002
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• 2019

With the rapid development of the Internet of Things, the problem of privacy protection has been paid great attention. Recently, Nikooghadam et al. pointed out that Kumari et al.'s protocol can neither resist off-line guessing attack nor preserve user anonymity. Moreover, the authors also proposed an authentication supportive session initial protocol, claiming to resist various vulnerability attacks. Unfortunately, this paper proves that the authentication protocols of Kumari et al. and Nikooghadam et al. have neither the ability to preserve perfect forward secrecy nor the ability to resist key-compromise impersonation attack. In order to remedy such flaws in their protocols, we design a lightweight authentication protocol using elliptic curve cryptography. By way of informal security analysis, it is shown that the proposed protocol can both resist a variety of attacks and provide more security. Afterward, it is also proved that the protocol is resistant against active and passive attacks under Dolev-Yao model by means of Burrows-Abadi-Needham logic (BAN-Logic), and fulfills mutual authentication using Automated Validation of Internet Security Protocols and Applications (AVISPA) software. Subsequently, we compare the protocol with the related scheme in terms of computational complexity and security. The comparative analytics witness that the proposed protocol is more suitable for practical application scenarios.

• Communications of the Korean Mathematical Society
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• v.12 no.2
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• pp.305-309
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• 1997

In this paper we prove the existence of a special type of multivortex solutions of $SU (N)_g \times U(1)_l$ Chern-Simons model. More specifically we prove existence of solutions of the self-duality equations for $(\Phi(x), j =1, \cdots, N$ has the same zeroes. In this case we find that the equation can be reduced to the single semilinear elliptic partial differential equations studied by Caffarelli and Yang.