• Title/Summary/Keyword: Plane Projection

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Projection-Type Integral Imaging Using a Pico-projector

  • Yang, Yucheol;Min, Sung-Wook
    • Journal of the Optical Society of Korea
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    • v.18 no.6
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    • pp.714-719
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    • 2014
  • A pico-projector is a compact and mobile projector that has an infinite focus. We apply the pico-projector to a projection-type integral imaging system, which can expand the image depth to form multiple central depth planes. In a projection-type integral imaging system, the image flipping problem arises because the expanded elemental images pass through a lens array. To solve this problem, we propose the ray tracing of a pico-projector at a central depth plane and compensate the elemental image using a pixel-mapping process. Experiments to verify the proposed method are performed, and the results are presented.

Application of Gradient Projection Algorithm for the Design of Steel Frames (강골조 설계를 위한 Gradient Projection 알고리즘의 응용)

  • 홍성목;이한선
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.99-106
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    • 1995
  • The General conceptual constitution of structural optimization is formulated and the algorithm using the gradient projection method and design sensitivity analysis is discussed. Examples of minimum-weight design for six-story steel plane frame are taken to illustrate the applicability of this algorithm. The advantages of this algorithm such as marginal cost and design sensitivity analysis as well as system analysis are explained.

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Automatic Generation System for Quadrilateral Meshes on NURBS Surfaces (NURBS 곡면에서 사각형 요소망의 자동생성 시스템)

  • Kim, Hyung-Il;Park, Jang-Won;Kwon, Ki-Youn;Cho, Yun-Won;Chae, Soo-Won
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.894-899
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    • 2000
  • An automatic mesh generation system with unstructured quadrilateral elements on trimmed NURBS surfaces has been developed.. In this paper, NURBS surface geometries in the IGES format have been used to represent model shape. NURBS surface is represented as parametric surface. So each surface could be mapped to a 2D parametric plane through the parametric domain. And then meshes with quadrilateral elements are constructed in this plane. Finally, the constructed meshes are mapped back to the original 3D surface through the parametric domain. In this paper, projection plane, quasi-expanded plane and parametric Plane are used as 2D mesh generation plane. For mapping 3D surface to parametric domain, Newton-Rhapson Method is employed. For unstructured mesh generation with quadrilateral elements on 2D plane, a domain decomposition algorithm using loop operators has been employed. Sample meshes are represented to demonstrate the effectiveness of the proposed algorithm.

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Slope Stability Analysis for Compound slope (복합사면의 사면안정해석에 관한 연구)

  • Shin, Eun-Chul;Kim, Jin-Soo
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.1279-1285
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    • 2010
  • Our country has a tendency to build many structures by cutting mountainous areas due to geographical features. Among these construction done in our country, road construction take the first spot in rank. As the construction is done, fractured inclining plane is created inevitability because of the natural properties of mountainous areas. The stability of the fractured inclining planes and slope formed in the opening, which are developed at the time of construction, need to be evaluated. Also, reinforcement plans for these matters are necessary. This paper is to go through an examination on the fractured inclining surface that is developed at the time of construction, especially the composite inclining plane that consists of soil and rocks. Furthermore, evaluating the stability by performing an analysis on stereographic projection and limit equilibrium, based on the examination results. using the stability evaluations, applications were explored for reinforcement methods of construction that fits the geological characters of this inclining surface.

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Transferring Skin Weights to 3D Scanned Clothes

  • Yoon, Seung-Hyun;Kim, Taejoon;Kim, Ho-Won;Lee, Jieun
    • ETRI Journal
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    • v.38 no.6
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    • pp.1095-1103
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    • 2016
  • We present a method for transferring deformation weights of a human character to three-dimensional (3D) scanned clothes. First, clothing vertices are projected onto a character skin. Their deformation weights are determined from the barycentric coordinates of the projection points. For more complicated parts, such as shoulders and armpits, continuously moving planes are constructed and employed as projection reference planes. Clothing vertices on a plane are projected onto the intersection curve of the plane with a character skin to achieve a smooth weight transfer. The proposed method produces an initial deformation for physically based clothing simulations. We demonstrated the effectiveness of our method through several deformation results for 3D scanned clothes.

Analysis of Rock Slope Behavior Utilizing the Maximum Dip Vector of Discontinuity Plane (불연속면의 최대경사벡터를 활용한 사면거동해석)

  • Cho, Taechin
    • Tunnel and Underground Space
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    • v.29 no.5
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    • pp.332-345
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    • 2019
  • Maximum dip vector of individual joint plane, which can be uniquely defined on the hemispherical projection plane, has been established by considering its dip and dip direction. A new stereographic projection method for the rock slope analysis which employs the maximum dip vector can intuitively predict the failure modes of rock slope. Since the maximum dip vector is uniquely projected on the maximum dip point of the great circle, the sliding direction of discontinuity plane can be recognized directly. By utilizing the maximum dip vector of discontinuity both the plane sliding and toppling directions of corresponding blocks can be discerned intuitively. Especially, by allocating the area of high dip maximum dip vector which can form the flanks of sliding block the potentiality for the formation of virtual sliding block has been estimated. Also, the potentiality of forming the triangular-sectioned sliding block has been determined by considering the dip angle of joint plane the dip direction of which is nearly opposite to that of the slope face. Safety factors of the different-shaped blocks of triangular section has been estimated and compared to the safety factor of the most hazardous block of rectangular section. For the wedge analysis the direction of crossline of two intersecting joint planes, which has same attribute of the maximum dip vector, is used so that wedge failures zone can be superimposed on the stereographic projection surface in which plane and toppling failure areas are already lineated. In addition the maximum dip vector zone of wedge top face has been delineated to extract the wedge top face-forming joint planes the orientation of which provides the vital information for the analysis of mechanical behavior of wedge block.

High resolution 3D display using time-multiplexed overlapped projection

  • Baasantseren, Ganbat;Park, Jae-Hyeung;Kim, Nam
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.1338-1340
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    • 2009
  • High resolution three-dimensional integral imaging display is proposed. Each time-multiplexed image is projected with different incident angle on same array of elemental lenses. Those images are collected at different positions in focal plane of lens array, and thus the number of the point light sources increases and their spacing decreases. Therefore, proposed method can create high resolution 3D images.

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LINEAR AUTOMORPHISMS OF SMOOTH HYPERSURFACES GIVING GALOIS POINTS

  • Hayashi, Taro
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.617-635
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    • 2021
  • Let X be a smooth hypersurface X of degree d ≥ 4 in a projective space ℙn+1. We consider a projection of X from p ∈ ℙn+1 to a plane H ≅ ℙn. This projection induces an extension of function fields ℂ(X)/ℂ(ℙn). The point p is called a Galois point if the extension is Galois. In this paper, we will give necessary and sufficient conditions for X to have Galois points by using linear automorphisms.

Pallet Measurement Method for Automatic Pallet Engaging in Real-Time (자동 화물처리를 위한 실시간 팔레트 측정 방법)

  • Byun, Sung-Min;Kim, Min-Hwan
    • Journal of Korea Multimedia Society
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    • v.14 no.2
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    • pp.171-181
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    • 2011
  • A vision-based method for positioning and orienting of pallets is presented in this paper, which guides autonomous forklifts to engage pallets automatically. The method uses a single camera mounted on the fork carriage instead of two cameras for stereo vision that is conventionally used for positioning objects in 3D space. An image back-projection technique for determining the orient of a pallet without any fiducial marks is suggested in tins paper, which projects two feature lines on the front plane of the pallet backward onto a virtual plane that can be rotated around a given axis in 3D space. We show the fact that the rotation angle of the virtual plane on which the back-projected feature lines are parallel can be used to describe the orient of the pallet front plane. The position of the pallet is determined by using ratio of the distance between the back-projected feature lines and their real distance on the pallet front plane. Through a test on real pallet images, we found that the proposed method was applicable to real environment practically in real-time.