• Title/Summary/Keyword: Nonplanar

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CIRCLE-FOLIATED MINIMAL SURFACES IN 4-DIMENSIONAL SPACE FORMS

  • PARK, SUNG-HO
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1433-1443
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    • 2015
  • Catenoid and Riemann's minimal surface are foliated by circles, that is, they are union of circles. In $\mathbb{R}^3$, there is no other nonplanar example of circle-foliated minimal surfaces. In $\mathbb{R}^4$, the graph $G_c$ of w = c/z for real constant c and ${\zeta}{\in}\mathbb{C}{\backslash}\{0}$ is also foliated by circles. In this paper, we show that every circle-foliated minimal surface in $\mathbb{R}$ is either a catenoid or Riemann's minimal surface in some 3-dimensional Affine subspace or a graph surface $G_c$ in some 4-dimensional Affine subspace. We use the property that $G_c$ is circle-foliated to construct circle-foliated minimal surfaces in $S^4$ and $H^4$.

Nanostructures of diblock copolymers under curved confinement

  • Shin, Kyu-Soon;Huh, June;Jo Won-Ho;Xiang hongqi;McCarthy Thomas J.;Russell Thomas P.
    • Proceedings of the Polymer Society of Korea Conference
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    • 2006.10a
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    • pp.294-294
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    • 2006
  • Diblock copolymers whose morphology in the bulk is dictated by the volume fraction of the components and segmental interactions were confined within nanoscopic cylindrical pores. Since the confining geometry is nonplanar and nanoscopic, the extreme imposed curvature, comparable to molecular dimensions, places significant packing frustration on the chains. When incommensurability between the repeating period of diblock copolymers and the diameter of nanopore is coupled with the curvature, it causes the marked departures from bulk or even thin film behavior. The entropy penalty from the constraints and the curvature of the physical confinement determines unique nanostructures available only with this curved confinement.

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Steady Aerodynamic Characteristics of a Wing Flying Over a Nonplanar Ground Surface Part II : Channel

  • Han Cheol-Heui;Kim Hak-Ki;Cho Jin-Soo
    • Journal of Mechanical Science and Technology
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    • v.20 no.7
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    • pp.1051-1058
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    • 2006
  • The steady aerodynamic characteristics of a wing flying over a channel are investigated using a boundary-element method. The present method is validated by comparing the computed results with the measured data. Compared with a flat ground surface, the channel fence augmented the lift increase and induced drag reduction. When the fence is lower than the wing height, the gap between the wingtip and the fence does not affect the aerodynamic characteristics of the wing much. When the fence is higher than the wing height, the close gap increased the lift. The induced drag is reduced when the wing is placed near the ground or at the same height as the fence. It is believed that present results can be used in the conceptual design of the high-speed ground transporters flying over the channel.

Geometric Image Compensation Method for a Portable Projector Based on Prewarping Using 2D Homography

  • Cho, Jinsoo;Won, Jongkil;Bae, Jongwoo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.9
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    • pp.2299-2311
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    • 2013
  • As portable multimedia devices become more popular and smaller, the use of portable projectors is also rapidly increasing. However, when portable projectors are used in mobile environments in which a dedicated planar screen is not available, the problem of geometric distortion of the projected image often arises. In this paper, we present a geometric image compensation method for portable projectors to compensate for geometric distortions of images projected on various types of planar or nonplanar projection surfaces. The proposed method is based on extraction of the two-dimensional (2D) geometric information of a projection area, setting of the compensation area, and prewarping using 2D homography. The experimental results show that the proposed method allows effective compensation for waved and arbitrarily shaped projection areas, as well as tilted and bent surfaces that are often found in the mobile environment. Furthermore, the proposed method is more computationally efficient than conventional image compensation methods that use 3D geometric information.

Characterization of Surfaces by Contact Angle Goniometry - I. Contact Angle Measurement by Laser Beam Projection- (접촉각측정에 의한 표면의 특성연구 - I. 레이저광선 투영에 의한 접촉각의 측정방법-)

  • Park Chung Hee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.15 no.1
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    • pp.70-75
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    • 1991
  • Contact angle measuring device was developed in this laboratory using laser beam projec-tion. The new method allows for rapid and direct determination of stationary, advancing, and receding contact angles on both planar and nonplanar solid surfaces, including fibers with very small diameters. A narrow laser beam impinges on an edge of an interface of liquid and solid. This makes two projected laser beam lines upon and radiating from the center of a protractor scale on a tangent screen. Contact angle is measured by determining the difference in angle on the protractor scale between the two projected laser beam lines. Contact angles measured on Perspex-CQ using this instrument were in agreement with the literature. it was shown that this instrument provides a novel method for the facile and accurate measurement of contact angles.

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Focus Control for Multi-Focal Projection onto Nonplanar Surface (곡면 전초점 투사를 위한 멀티 프로젝터 초점제어)

  • Shim, Jae-Young;Park, Han-Hoon;Park, Jong-Il
    • 한국HCI학회:학술대회논문집
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    • 2006.02a
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    • pp.1081-1086
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    • 2006
  • 일반적으로 프로젝터는 심도(depth of field)가 제한되어 있기 때문에 스크린이 곡면일 경우, 일부 영역에서는 초점이 맞지 않게(out-of-focus) 된다. 이런 out-of-focus 영역의 정보는 블러링(blurring)되기 때문에 사용자에게 정확한 정보를 전달할 수 없다. 여러 대의 프로젝터를 이용할 경우, 각 프로젝터는 다른 in-focus 영역을 가지기 때문에 각 프로젝터 픽셀의 in-focus/out-of-focus 판별을 통해 in-focus 픽셀만을 투사함으로써, out-of-focus 픽셀의 영향을 제거할 수 있다. 그러나 여러 대의 프로젝터의 in-focus영역이 거의 일치할 경우, out-of-focus영역은 여전히 out-of-focus상태일 수 밖에 없다. 따라서, 각 프로젝터의 초점을 유연하게 조절하면서 동시에 여러 대의 프로젝터에 의한 in-focus 영역을 최대한 크게 할 수 있는 방법이 필요하다. 본 논문에서는 각 프로젝터의 초점을 유동적으로 조절하면서 취득된 영상을 처리하여 in-focus 영역을 판별하고 각 프로젝터에 대한 in-focus 영역을 조합하여 전체in-focus 영역의 면적을 최대화하는 방법을 제안한다. 제안된 방법의 유용성을 검증하기 위해, 각 프로젝터의 in-focus 영역을 적절한 컬러를 이용해 시각적으로 표현해주고 이 정보를 참조해 각 프로젝터의 초점을 유동적으로 조절하여 전초점 영상을 만들어내는 시스템을 구현하였다.

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Performance Optimization Study of FinFETs Considering Parasitic Capacitance and Resistance

  • An, TaeYoon;Choe, KyeongKeun;Kwon, Kee-Won;Kim, SoYoung
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.14 no.5
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    • pp.525-536
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    • 2014
  • Recently, the first generation of mass production of FinFET-based microprocessors has begun, and scaling of FinFET transistors is ongoing. Traditional capacitance and resistance models cannot be applied to nonplanar-gate transistors like FinFETs. Although scaling of nanoscale FinFETs may alleviate electrostatic limitations, parasitic capacitances and resistances increase owing to the increasing proximity of the source/drain (S/D) region and metal contact. In this paper, we develop analytical models of parasitic components of FinFETs that employ the raised source/drain structure and metal contact. The accuracy of the proposed model is verified with the results of a 3-D field solver, Raphael. We also investigate the effects of layout changes on the parasitic components and the current-gain cutoff frequency ($f_T$). The optimal FinFET layout design for RF performance is predicted using the proposed analytical models. The proposed analytical model can be implemented as a compact model for accurate circuit simulations.

Aerodynamic Characteristics of a Variable Span Wing Flying Inside a Channel I (Effects of Wing Aspect Ratio and Guideway) (채널 내를 비행하는 가변스팬 날개 공력특성 I (가로세로비 및 안내로 영향))

  • Han, Cheolheui
    • Journal of Aerospace System Engineering
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    • v.10 no.4
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    • pp.11-16
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    • 2016
  • In this paper, an experimental study on the aerodynamic characteristics of a variable span wing flying inside a channel guideway is accomplished using wind tunnel testing. A variable span wing with a NACA 0012 airfoil section was fabricated and actuated using a linear servo motor. The aerodynamic effects of 1) wing aspect ratio, 2) ground effect, and 3) the gap between the wingtip and the wing fence were investigated. It was found that both ground effect and wing fence gap increased lift. Also, the wing fence gap does not significantly affect drag. Therefore, it was found that a variable span mechanism can be used as an effective high lift device when flap use is limited.

Circuit Placement in Arbitrarily-Shaped Region Using Self-Organization (자율조직을 이용한 임의의 모양을 갖는 영역에서의 회로배치)

  • Kim, Sung-Soo;Kyung, Chong-Min
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.7
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    • pp.140-145
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    • 1989
  • In this paper, we present an effective circuit placement method called SOAP (self-organization assisted placement) for rectilinear or arbitrarily-shaped region arised form the layout of ASIC (application specific integrated circuit). Self-organization is a learning algorithm for neural networks proposed by [1] which adjusts weights of synapses connected to neurons such that topologically close neurons are sensitive to inputs that are physically similar. In SOAP, we obtain a good circuit placement result in arbitrarily-shaped region by replacing the block of circuit and the position (x, y coordinates) of the block with the neuron and the weight pair of synapses connected to the neuron, respectively. This method can also be extended to the circuit placement over the nonplanar surface.

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Determination of Plane-wave Reflection Coefficient in Underwater Acoustic Pulse Tube Using Two-dimensional Fourier Filtering (이차원 푸리에 필터링을 이용한 수중음향 펄스 튜브에서의 평면파 반사계수 결정)

  • Kim, Wan-Gu;Kang, Hwi Suk;Yoon, Suk Wang
    • The Journal of the Acoustical Society of Korea
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    • v.34 no.6
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    • pp.493-498
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    • 2015
  • Complex acoustic signals can be formed in a water-filled acoustic pulse tube under some exciting conditions. It makes difficult to measure plane-wave reflection coefficient with the pulse tube for low frequency bands. In this study, using COMSOL Multiphysics we show that the tube wall excitation generates complex acoustic field of nonplanar mode as well as planar one. From such field incident or reflected planar mode can be decomposed respectively with a modal decomposition method, two-dimensional Fourier filtering. It makes possible to more accurately determine the plane-wave reflection coefficient of acoustic specimen with time gating.