• Title/Summary/Keyword: 계산 기하학

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Dynamic Remeshing for Real-Time Representation of Thin-Shell Tearing Simulations on the GPU

  • Jong-Hyun Kim
    • Journal of the Korea Society of Computer and Information
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    • v.28 no.12
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    • pp.89-96
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    • 2023
  • In this paper, we propose a GPU-based method for real-time processing of dynamic re-meshing required for tearing cloth. Thin shell materials are used in various fields such as physics-based simulation/animation, games, and virtual reality. Tearing the fabric requires dynamically updating the geometry and connectivity, making the process complex and computationally intensive. This process needs to be fast, especially when dealing with interactive content. Most methods perform re-meshing through low-resolution simulations to maintain real-time, or rely on an already segmented pattern, which is not considered dynamic re-meshing, and the quality of the torn pattern is low. In this paper, we propose a new GPU-optimized dynamic re-meshing algorithm that enables real-time processing of high-resolution fabric tears. The method proposed in this paper can be used for virtual surgical simulation and physics-based modeling in games and virtual environments that require real-time, as it allows dynamic re-meshing rather than pre-split meshes.

Three Dimensional Measurements of Pore Morphological and Hydraulic Properties (토양 공극 형태와 수문학적 특성에 대한 3 차원적 측정)

  • Chun, Hyen-Chung;Gimenez, Daniel;Yoon, Sung-Won;Heck, Richard;Elliot, Tom;Ziska, Laise;Geaorge, Kate;Sonn, Yeon-Kyu;Ha, Sang-Keun
    • Korean Journal of Soil Science and Fertilizer
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    • v.43 no.4
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    • pp.415-423
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    • 2010
  • Pore network models are useful tools to investigate soil pore geometry. These models provide quantitative information of pore geometry from 3D images. This study presents a pore network model to quantify pore structure and hydraulic characteristics. The objectives of this work were to apply the pore network model to characterize pore structure from large images to quantify pore structure, calculate water retention and hydraulic conductivity properties from a three dimensional soil image, and to combine measured hydraulic properties from experiments with calculated hydraulic properties from image. Soil samples were taken from a site located at the Baltimore science center, which is located inside of the city. Undisturbed columns were taken from the site and scanned with a computer tomographer at resolutions of 22 ${\mu}m$. Pore networks were extracted by medial-axis transformation and were used to measure pore geometry from one of the scanned samples. Water retention and unsaturated hydraulic conductivity values were calculated from the soil image. Properties of soil bulk density, water retention and unsaturated hydraulic conductivity were measured from three replicates of scanned soil samples. 3D image analysis provided accurate detailed pore properties such as individual pore volumes, pore length, and tortuosity of all pores. These data made possible to calculate accurate estimations of water retention and hydraulic conductivity. Combination of the calculated and measured hydraulic properties gave more accurate information on pore sizes over wider range than measured or calculated data alone. We could conclude that the hydraulic property computed from soil images and laboratory measurements can describe a full structure of intra- and inter-aggregate pores in soil.

Experiment on Camera Platform Calibration of a Multi-Looking Camera System using single Non-Metric Camera (비측정용 카메라를 이용한 Multi-Looking 카메라의 플랫폼 캘리브레이션 실험 연구)

  • Lee, Chang-No;Lee, Byoung-Kil;Eo, Yang-Dam
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.26 no.4
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    • pp.351-357
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    • 2008
  • An aerial multi-looking camera system equips itself with five separate cameras which enables acquiring one vertical image and four oblique images at the same time. This provides diverse information about the site compared to aerial photographs vertically. The geometric relationship of oblique cameras and a vertical camera can be modelled by 6 exterior orientation parameters. Once the relationship between the vertical camera and each oblique camera is determined, the exterior orientation parameters of the oblique images can be calculated by the exterior orientation parameters of the vertical image. In order to examine the exterior orientation of both a vertical camera and each oblique cameras in the multi-looking camera relatively, calibration targets were installed in a lab and 14 images were taken from three image stations by tilting and rotating a non-metric digital camera. The interior orientation parameters of the camera and the exterior orientation parameters of the images were estimated. The exterior orientation parameters of the oblique image with respect to the vertical image were calculated relatively by the exterior orientation parameters of the images and error propagation of the orientation angles and the position of the projection center was examined.

The Changes of Specific Surface Area of Soils after Peroxidation and Its Implication for the Calculation of Critical toads of Soil Acidification (Peroxidation 전후의 토양 비표면적 변화와 토양산성화 임계부하량 계산에의 의의)

  • Yeo, Sang-Jin;Lee, Bumhan;Soyoung Sung;Kim, Soo-Jin
    • Journal of the Mineralogical Society of Korea
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    • v.15 no.3
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    • pp.195-204
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    • 2002
  • Mineralogy and the exposed surface area are two of the most important factors controlling dissolution and weathering rates of soils. The mixture of inorganic and organic materials of various size distributions and structures that constitute soils makes the calculation of weathering rates difficult. The surface area of soil minerals plays an important role in most of programs for calculating the weathering rates and critical loads. The Brunauer-Emmett-Teller (BET) measurement is recommended for the measurement of specific surface area. However, BET values measured without organic matter removal are in fact those far all the N2-adsorbed surface areas, including the surfaces covered and aggregated with organisms. Surfaces occupied by organisms are assumed to be more reactive to weathering by organic activities. Therefore, the BET surface area difference before and after organic removal depicts the area occupied by organisms. The present study shows that the BET values after organic matter removal using $H_2$O$_2$ are larger than those without removal by 1.68~4.87 $m^2$/g. This implies that BET measurement without organic removal excludes the reactive area occupied by organisms and that the area occupied by organisms in soils is much larger than expected. It is suggested that specific surface area measurement for calculating weathering rates of mineral soils should be made before and after organic matter removal. The results of a column experiment are presented to demonstrate the potential retarding influence that this organic matter may have on mineral dissolution and weathering.

Damped Vibrations of Axially-Stressed Laminated Beams using Zig-Zag Finite Element (축방향 하중을 받는 점탄성물질이 심어진 적층보의 지그재그요소를 이용한 진동해석)

  • Lee, Deog-Gyu;Cho, Maeng-Hyo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.4
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    • pp.64-69
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    • 2002
  • Dynamic analysis of laminated beams with a embedded damping layer under tension or compression axial load is investigated. Improved Layer-Wise Zig-Zag Beam Theory and Interdependent Kinematic Relation using the governing equations of motion are incorporated to model the laminated beams with a damping layer and a corresponding beam zig-zag finite element is developed. Flexural frequencies and modal loss factors under tension or compression axial load are calculated based on Complex Eigenvalue Method. The effects of the axial tension and compression load on the frequencies and loss factors are discussed.

Effect on Material Property on the Frature Propagation Behavior (재료의 취성과 연성이 균열의 진전에 미치는 영향)

  • Jeong, Jaeyeon;Woo, Kyeongsik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.11
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    • pp.919-926
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    • 2014
  • In this paper, the effect of material properties on fracture behavior was studied using cohesive zone model and extended finite element method. The rectangular tensile specimen with a central inclined initial crack was modeled by plane stress elements. In the CZM modeling, cohesive elements were inserted between every bulk elements in the predicted crack propagation region before analysis, while in the XFEM the enrichment to the elements was added as needed during analysis. The crack propagation behavior was examined for brittle and ductile materials. For thin specimen configuration, wrinkle deformation was accounted for by geometrically nonlinear post-buckling analysis and the effect of wrinkling on the crack propagation was investigated.

Prediction of Cut Propagation Direction of Wrinkled Thin Membrane (얇은 막재에서 컷의 진전방향에 주름이 미치는 영향)

  • Kim, Young-Ah;Woo, Kyeong-Sik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.5
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    • pp.423-430
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    • 2012
  • In this paper, the effect of wrinkling on the cut propagation direction of thin membrane was studied using geometrically nonlinear shell element post-buckling analysis. In the analysis, rectangular tensile membrane configuration with a slanted center cut was considered. The cut propagation direction was predicted by maximum energy release rate method, $K_{II}$-zero method, and maximum tangential stress method. The cut propagation angle and the $J$-integral values were calculated for the wrinkled and unwrinkled cases and the results were compared. Various initial cut orientation angles were considered and the effect on the propagation direction was studied. The cut propagation paths were also predicted by virtual cut extension approach.

그래프 마법사와 함수교육

  • Ryu, Jae-Gu
    • Communications of Mathematical Education
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    • v.10
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    • pp.519-528
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    • 2000
  • 최근 10 여년 동안 교육 현장의 각 부분에 여러 가지 종류의 테크놀로지가 도입되면서, 교육의 내용과 방법에 있어서 점진적인 변화가 나타나고 있다. 예를들어, 수학 과목에 있어서는 그래픽 계산기, 도형 및 기하 학습 프로그램, 스프레드 시트, 함수 그래픽 프로그램 등의 도입으로 교과 과정 전반에 걸친 변화가 일고 있는데, 처음에는 이들 테크놀로지가 단순히 기존의 수업에서 수많은 반복을 요하거나, 지필식 방식으로는 정확하게 나타내기 어려운 도형이나 그래프를 빠르고 정확하게 그려내주는 보조수단으로 사용되었지만, 시간이 지나면서 이들 테크놀로지에 대한 활용도가 높아지게 되고, 이들 테크놀로지에 대한 교사들의 활용능력이 증대됨에 다라서, 이러한 테크놀로지가 단순한 보조수단에 머무르지 않고 주지에 기술이나 개념을 설명하는 방법 자체를 변화시키고 있다. 예를들어, 함수 교육에 있어서 그래픽 프로그램이 사용될 때에도, 초기 단계에서는 이들 함수의 개념을 설명할 때에는 거의 집합론이나 대수학적인 방법을 이용하였고, 최종 단계로 이들 함수를 좌표계 위에 표현하기 위한 보조수단으로 잠깐씩 사용되는 경우가 대부분이었으나, 최근들어서는 함수 학습의 초기과정부터 곧바로 이들 그래프 프로그램을 적극적으로 도입하여 학습자로 하여금 다양한 그래프 조작을 하게 함으로써, 어려운 집합론이나 대수학적인 개념을 도입하지 않고서도 함수에 대한 개념을 시각적으로 직관적으로 파악하도록 하는 학습 방안들이 제시되고 있는 것이다. 본 고에서는 현행 중고등학교 함수 교육 과정에서 그래프에 대한 다양한 조작 기능을 제공함으로써 학습자로 하여금, 제시되는 함수에 대한 시각적이고 직관적인 이미지를 가질 수 있도록 하기 위해서 개발된 ‘그래프 마법사’라는 프로그램을 소개하고자 한다.

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Orbital Parameters Modeling of High Resolution Satellite Imagery for Mapping Applications (매핑을 위한 고해상 위성영상의 궤도요소 모델링)

  • 유환희;성재열;김동규;진경혁
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.18 no.4
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    • pp.405-414
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    • 2000
  • A new generation of commercial satellites like IKONOS, SPOT-5 and OrbView-3,4 will have improved features, especially an higher geometric resolution with a better dynamic radiometric range. In addition high precision orbital position and attitude data will be provided by the on-board GPS receivers, IMU(Inertial Measurement Units) and star trackers. This additional information allows for reducing the number of ground control points. Furthermore this information enables direct georeferencing of imagery without ground control points. In our work mathematical models for calculating the satellite orbital parameters of SPOT-3 and KOMPSAT-1 were developed and can be easily extended to process images from other high resolution imaging systems as they become available.

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LRU Layout Method Using Genetic Algorithm (유전 알고리즘을 이용한 LRU 최적배치 방법)

  • Back, Sun-Woo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.10
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    • pp.849-858
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    • 2021
  • It is difficult to establish a quantitative standard because there are many factors to consider, such as environmental conditions, airworthiness, and maintainability, in determining the installation location of equipment in an aircraft. In addition, as the number of equipment increases, the design proposal increases exponentially, so the design is proceeding depending on the experience of the designer much in order to review it within a limited time schedule. In this paper, a method of calculating the length and weight of the wiring harness according to the location of the equipment and a method of optimizing the weight of the wiring harness and the CG of the equipment using genetic algorithms are described in order to create a quantitative standard useful by comparing the optimal design and the actual design.