• Title/Summary/Keyword: Planar curve

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SYMMETRY OF MINIMAL GRAPHS

  • Jin, Sun Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.2
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    • pp.251-256
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    • 2010
  • In this article, we consider a minimal graph in $R^3$ which is bounded by a Jordan curve and a straight line. Suppose that the boundary is symmetric with the reflection under a plane, then we will prove that the minimal graph is itself symmetric under the reflection through the same plane.

Fast Axis Estimation from 3D Axially-Symmetric Object's Fragment (3차원 회전축 대칭 물체 조각의 축 추정 방법)

  • Li, Liang;Han, Dong-Jin;Hahn, Hern-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.6
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    • pp.748-754
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    • 2010
  • To reduce the computational cost required for assembling vessel fragments using surface geometry, this paper proposes a fast axis estimation method. Using circular constraint of pottery and local planar patch assumption, it finds the axis of the symmetry. First, the circular constraint on each cylinder is used. A circular symmetric pot can be thought of unions of many cylinders with different radii. It selects one arbitrary point on the pot fragment surface and searches a path where a circumference exists on that point. The variance of curvature will be calculated along the path and the path with the minimum variance will be selected. The symmetric axis will pass through the center of that circle. Second, the planar patch assumption and profile curve is used. The surface of fragment is divided into small patches and each patch is assumed as plane. The surface normal of each patch will intersects the axis in 3D space since each planar patch faces the center of the pot. A histogram method and minimization of the profile curve error are utilized to find the probability distribution of the axis location. Experimental results demonstrate the improvement in speed and robustness of the algorithms.

A VANISHING THEOREM FOR REDUCIBLE SPACE CURVES AND THE CONSTRUCTION OF SMOOTH SPACE CURVES IN THE RANGE C

  • Ballico, Edoardo
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.105-111
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    • 2019
  • Let $Y{\subset}{\mathbb{P}}^3$ be a degree d reduced curve with only planar singularities. We prove that $h^i({\mathcal{I}}_Y(t))=0$, i = 1, 2, for all $t{\geq}d-2$. We use this result and linkage to construct some triples (d, g, s), $d>s^2$, with very large g for which there is a smooth and connected curve of degree d and genus g, $h^0({\mathcal{I}}_C(s))=1$ and describe the Hartshorne-Rao module of C.

Fine Structure in Magnetization Reversal of Permalloy/Cu Multilayer (Permalloy/Cu 다층막 자화반전의 미세 구조)

  • 이긍원;염민수;장인우;변상진;이제형;박병기
    • Journal of the Korean Magnetics Society
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    • v.11 no.5
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    • pp.179-183
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    • 2001
  • Magnetoresistance and Planar Hall effect of Glass/Ni$\sub$83/Fe$\sub$17/(2 nm)/[Cu(2 nm)Ni$\sub$83/Fe$\sub$17/(20 nm)]$\sub$50/ multilayer were measured. Repeated saw tooth like planar Hall effect signal was observed in the range of magnetization reversal process, while no sign of such saw tooth was observed in Magnetoresistance diagram. For the reason of saw tooth like signal, it is supposed that subsequent abrupt domain wall motion of each magnetic layer in the process of magnetization reversal process was observed in planar Hall effect in transverse direction to the current direction. This fine structure of planar Hall effect was observed for applied fields in any direction. Magnetoresistance curve did not show this fine structure of magnetization reversal, of course, since only net magnetization of each layer has to do with the resistivity. Extended research on the reason of this sawtooth like signal should be conducted.

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Design and Fabrication of Small UWB Antenna (소형 UWB 안테나 설계 및 제작)

  • Bae, Jin-Woo;Ko, Ji-Hwan;Cho, Young-Ki
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2005.11a
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    • pp.221-224
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    • 2005
  • In this paper, We have designed, fabricated and measured a stacked planar antenna for Ultra-Wideband communication. Radiation parts of the antenna have exponential curve and fed by strip feeding network. We have used the HFSS of Ansoft to simulate the antenna. It was designed to work on a substrate Teflon of thickness 1.575mm and relative permittivity 3.2. The proposed antenna covered the entire UWB band( 3.1GHz $\sim$ 10.6GHz ) for S11$\leq$l0dB. Also the proposed antenna show a good characteristics, linear phase, omni -directional pattern lot UWB applications. Besides the measured results have a reasonable agreement with the simulated results.

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Analytical Evaluation of the Surface Integral in the Singularity Methods

  • Suh, Jung-Chun
    • Selected Papers of The Society of Naval Architects of Korea
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    • v.2 no.1
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    • pp.1-17
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    • 1994
  • For a planar curve-sided panel with constant or linear density distributions of source or doublet in the singularity methods, Cantaloube and Rehbach show that the surface integral can be transformed into contour integral by using Stokes'formulas. As an extension of their formulations, this paper deals with a planar polygonal panel for which we derive the closed-forms of the potentials and the velocities induced by the singularity distributions. Test calculations show that the analytical evaluation of the closed-forms is superior to numerical integration (suggested by Cantaloube and Rehbach) of the contour integral. The compact and explicit expressions may produce accurate values of matrix elements of simultaneous linear equations in the singularity methods with much reduced computer time.

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Two-Dimensional DC Magnetron Sputtering Simulator for Cylindrical Rotating Target

  • Kim, Jin-Seok;Lee, Jeong-Yeol;Kim, Min-Gyeong;Lee, Hae-Jun
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.02a
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    • pp.454-454
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    • 2012
  • Magnetron sputtering에서, 영구자석의 자속은 target 표면 가까이에 전자를 구속한다. 구속된 전자는 Ar중성기체와 충돌하여 Ar이온을 발생시킬 수 있으므로, target 근처에서의 플라즈마 밀도를 높여, 자석이 없을 때보다 낮은 압력 또는 낮은 전압에서 방전할 수 있다. 구속 전자가 밀집된 공간에서 sputtering 현상이 주로 발생하기 때문에, planar target을 사용할 경우에는 target이 불균일하게 식각되어 target의 사용효율이 좋지 못하다. 이에 대한 한 가지 대안은 target을 원통형으로 만들어 회전시키는 것이다. Cylindrical target 의 내부에 위치한 영구자석은 고정시키고, target만을 회전시키면 비교적 균일하게 식각되므로 target의 사용효율을 높일 수 있다. 본 연구에서는 기존의 planar target에 대한 Particle-In-Cell Simulation을 Cylindrical target 에 적용시키기 위한 방법을 알아본다. 또한, 개발된 Simulator를 이용하여, Sputtering 조건의 변화에 대한 I-V curve의 변화를 살펴본다.

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Analysis of Underground Box Structures with Inelastic Soil Spring (비탄성 지반 스프링을 이용한 지하 구조물의 해석)

  • Oh, Chi-Woong;Chung, Jae-Hoon;Yhim, Sung-Soon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.6 no.3
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    • pp.91-96
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    • 2002
  • There are many methods for analyzing underground box structures. One is the method of Iterative removal of tensional spring. The other is the method of modeling of ground to 8-node elastic-plastic planar element. In this study, We use inelastic soil spring element for analyzing underground box structures. First, if N-value is over 50, the results of inelastic soil spring method is the same as the method of 8-node planar element in last stage. Second, as N is increasing, element forces in two methods are generally decreasing. Third, as N-value is increasing, element forces in two method are generally decreasing and displacement has decreasing incline. This is the same as the force-displacement curve of general underground structures.

A Planar Geodesic Constrained On the Maximum Curvature and with Prescribed Initial and Terminal Directions: An Optimal Control Approach

  • Lim, Jong-In;Chung, Ee-Suk;Ree, Sang-Bok;Oh, Hyung-Sik;Chung, Sung-Jin;Kang, Suk-Ho
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.4
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    • pp.105-114
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    • 1993
  • In this article, a planar geodesic (2-dimensional minimum length curve between two points) on which the maximum curvature is constrained and with prescribed initial and terminal directions is studied. A generic problem is formulated by the minimum-time optimal control problem in free terminal time. It is shown that the optimal path ($G^2$) may contain a singular arc or not and that the general types of $G^2$ can he classified into the 3 classes of control sequences. Finally, the explicit form of $G^2$ is derived geometrically as well as algebraically form the main theorem of this article.

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