• Title/Summary/Keyword: Planar.

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EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS

  • Jin, Sun-Sook
    • The Pure and Applied Mathematics
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    • v.17 no.4
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    • pp.299-306
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    • 2010
  • In this article we consider axes of a complete embedded minimal surface in $R^3$ of finite total curvature, and then prove that there is no planar ends at which the Gauss map have the minimum branching order if the minimal surface has a single axis.

The Effects of an Instruction Using Geologic Planar Figures on High School Students' Ability of Spatial Visualization and Geologic Spatial Ability (지질 전개도를 활용한 수업이 고등학생의 공간 시각화 능력과 지질 공간 능력에 미치는 영향)

  • Park, Jaeyong;Lee, Kiyoung
    • Journal of the Korean earth science society
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    • v.36 no.3
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    • pp.280-299
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    • 2015
  • The purpose of this study was to investigate the effects of an instruction using geologic planar figures on high school students' ability of spatial visualization and geologic spatial ability and also to explore its applicability as an instructional strategy through the investigation of students' perception about the instruction using mixed methodology. For this purpose, we developed 10 planar figures of geologic structures (2 horizontal layers, 2 vertical layers, 4 angular layers, 1 fault, and 1 fold), and tested students' spatial visualization ability and geologic spatial ability before and after the implementation in class. In addition, in order to investigate students' perception on the instruction, we conducted quantitative research using questionnaires comprised of the cognitive and the affective domain, and followed by focus group interview that was conducted to obtain deeper understanding of their perception. Findings revealed that the instruction using geologic planar figures was effective to enhance spatial visualization ability and geologic spatial ability. It was also helpful for students to enhance their ability to perceive the spatial configuration of the geologic structures as well as the ability to penetrate visually into the images of the structures. The results of the students' perception on the instruction showed that the students recognized the instruction using geologic planar figures as a strongly positive teaching method both in the cognitive and affective domain. We concluded that geologic planar figures could be used as an effective tool for the lesson of 'mapping and interpreting of geological map', and be highly applicable for the advanced class in high schools.

Dual-band Planar Monopole Antenna for Autonomous Vehicle (자율주행자동차를 위한 이중대역 평판 모노폴 안테나)

  • Yoon, Yonghyun
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.12 no.4
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    • pp.343-348
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    • 2019
  • In this paper, a dual-band antenna is proposed for the autonomous vehicle as well as omni-directional. The proposed antenna operates in the 4G/LTE band (1,710~2,170MHz) and 5G/NR band (3,400~3,700MHz). In order to obtain the dual-band operation, the planar monopole antenna is proposed as the novel structure with single port of the 50ohm. To give the properties of dual-band, an additional antenna element with slit was added to the planar monopole antenna, and then a structural adjustment parameter was optimized for achieving the target performance in bands. The planar monopole antenna in the LTE band acts as the coupled feed for the added parasitic radiator in the 5G NR band. The proposed antenna has $38.5{\times}36.0{\times}1.0[mm^3]$ on a ground with diameter of 96mm. From the fabrication and measurement results, the impedance bandwidth (VSWR<2) of the proposed antenna covers 1,480~2,260MHz (LTE band: 1,710~2,170MHz) and 3,310~3,930MHz (5G NR band: 3,400~3,700MHz). The proposed planar monopole antenna also obtained the measured gain and radiation pattern of omni-directional radiation pattern in the anechoic chamber.

Regional Linear Warping for Image Stitching with Dominant Edge Extraction

  • Yoo, Jisung;Hwang, Sung Soo;Kim, Seong Dae;Ki, Myung Seok;Cha, Jihun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.10
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    • pp.2464-2478
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    • 2013
  • Image stitching techniques produce an image with a wide field-of-view by aligning multiple images with a narrow field-of-view. While conventional algorithms successfully stitch images with a small parallax, structure misalignment may occur when input images contain a large parallax. This paper presents an image stitching algorithm that aligns images with a large parallax by regional linear warping. To this end, input images are first approximated as multiple planar surfaces, and different linear warping is applied to each planar surface. For approximating input images as multiple planar surfaces, the concept of dominant edges is introduced. Dominant edges are defined as conspicuous edges of lines in input images, and extracted dominant edges identify the boundaries of each planar surface. Dominant edge extraction is conducted by detecting distinct changes of local characteristics around strong edge pixels. Experimental results show that the proposed algorithm successfully stitches images with a large parallax without structure misalignment.

3-D FEM Analysis of Forming Processes of Planar Anisotropic Sheet Metal (평면이방성 박판성형공정의 3차원 유한요소해석)

  • 이승열;금영탁;박진무
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.2113-2122
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    • 1994
  • The 3-D FEM analysis for simulating the stamping operation of planar anisotropic sheet metals with arbitrarily-shaped tools is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-normal, which compatibly describes arbitrary tool surfaces and FEM meshes without depending on the explicit spatial derivatives of tool surfaces. The consistent full set of governing relations, comprising equilibrium equation and mesh-normal geometric constraints, is appropriately linearized. The linear triangular elements are used for depicting the formed sheet, based on membrane approximation. Barlat's non-quadratic anisotropic yield criterion(strain-rate potential) is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and non-quadratic function parameter. The planar anisotropic finite element formulation is tested with the numerical simulations of the stamping of an automotive hood inner panel and the drawing of a hemispherical punch. The in-plane anisotropic effects on the formability of both mild steel and aluminum alloy sheet metals are examined.

UV Sensor using Evanescent Field Coupling of Prism and Fiber-to-Planar Waveguide Coupler (프리즘과 광섬유-평면도파로의 소산장 결합을 이용한 자외선 센서)

  • Cho, Kang-Min;Yun, Jung-Hyun;Kim, Eung-Soo;Lee, Seung-Ha;Kang, Shin-Won
    • Journal of Sensor Science and Technology
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    • v.13 no.5
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    • pp.350-355
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    • 2004
  • A novel UV sensor was manufactured and characterized using the evanescentfield coupling between fiber-planar waveguide (PWG) coupler and prism. A spiroxazine dye was chosen as planar waveguide because its photochromic isomerization induced by UV irradiation. A novel UV sensor was proposed to measure the variation of refractive index and absorption coefficient simultaneously. The wavelength responses of these sensors by UV exposure times were measured 0.48 nm/sec, 0.757 nm/sec, and ATR output power variations were measured $-0.424{\mu}W$/sec and $-0.62{\mu}W$/sec when UV exposure power were 3 mW and 5 mW, respectively.

Large-Eddy Simulation of Turbulent Flows in a Planar Combustor (Planar-Jet형 연소기 내 난류유동의 LES)

  • Kim, Do-Hyeong;Yang, Kyung-Soo;Shin, Dong-Shin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.10
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    • pp.1409-1416
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    • 2000
  • In this study, turbulent flows in a planar combustor which has a square rib-type flame holder are numerically investigated by Large Eddy Simulation(LES). Firstly, the flow fields with or without jet injection downstream of the flame-holder are examined using uniform inlet velocity. Comparison of the present LES results with experimental one shows a good agreement. Secondly, to investigate mixing of oxidizer(air) and fuel injected behind the flame holder, the scalar-transport equation is introduced and solved. From the instantaneous flow and scalar fields, complex and intense mixing phenomena between fuel and jet are observed. It is shown that the ratio of jet to blocked air velocity is an important factor to determine the flow structure. Especially, when the ratio is large enough, the fuel jet penetrates the main vortices shed from the flame holder, resulting in significant changes in the flow and scalar fields.

A Study on Sketch Maps and Planar Figures in Elementary School - In Consideration of Successive Korean Curriculums and Foreign Textbooks (초등학교 교과서 겨냥도와 전개도의 고찰 -역대 교육과정과 외국 교과서의 검토를 바탕으로-)

  • Hong, Gap Ju;Yi, Ho Suk
    • School Mathematics
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    • v.17 no.4
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    • pp.531-553
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    • 2015
  • This study discussed a sketch map and planar figure, classical contents in math curriculum of Korea. Two problems were posed. One was the degree of difficulty and ambiguous intentions of some contents in 5th grade math textbook of 2009 revised curriculum. The other was the status of sketch maps and planar figures in more general view. We looked into elementary mathematics textbooks of former Korean national curriculums and other countries to discuss the problems. The reason why the present Korean textbook has such contents was considered, based on the result of searching former Korean and foreign textbooks. The suggestions in view of expression and building of 3D shapes were also talked.

A Study for the Control of Various Luminous Intensity Distribution in Numerical Model of Planar Prism LED Luminaire (평면 프리즘 LED 조명기구 배광수치모델의 다양한 배광 제어를 위한 연구)

  • Kim, Yu-Sin;Choi, An-Seop
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.25 no.12
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    • pp.60-66
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    • 2011
  • There are several technological problems have to be resolved for LEDs to be used as a general purpose light source. In addition, there are several differences between existing luminaires and the general planer LED luminaire for the intensity distribution. Therefore, the optical engineer then faces the challenging a problem of designing for a spatially extended and non-uniform light source. In the previous studies on the optical design of luminaires, a lot of studies on reflectors and light source have been conducted but the ones on prisms and lenses are insufficient at present. This study developed the numerical model of planar prism LED luminaire to control luminous intensity distribution of LED luminaires. And this study presents an optical calculation process for the prism optical design of a planar prism LED luminaire and a comparison of the simulation results between the developed numerical model and Photopia 2.0 to verify the accuracy of the numerical model. In addition, this study showed a method for the control of various luminous intensity distribution from the developed numerical model.