• 제목/요약/키워드: Geometry function

검색결과 652건 처리시간 0.02초

기하 학습을 위한 문제해결 도구 개발 및 적용 (A Development and Applications of Problem Solving Tool for Learning Geometry)

  • 배진성;김갑수
    • 정보교육학회논문지
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    • 제14권3호
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    • pp.449-459
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    • 2010
  • 초등학교 도형 학습에 컴퓨터 프로그램을 활용하면 도형에 대한 다양한 조작 기능을 제공하여 학습의 효과를 높일 수 있으며, 탐구적 환경을 조성함으로써 교실 환경의 한계를 극복할 수 있다. 지금까지의 연구는 컴퓨터 프로그램을 활용한 도구들을 개발하였지만 콘텐츠 없이 도구이다. 본 연구는 Van Hieles의 기하 학습수준이론에 기초하여 초등학교 수학과 교육과정의 도형 영역을 분석하고, 초등학생들의 인지 수준에 적합한 도형 학습 문제 해결 도구(Geometry For Kids : GeoKids)를 개발한다. 학생들의 인지 수준을 고려하여 자와 컴퍼스를 대신할 수 있도록 만들었고, 원과 직선을 마우스를 사용하여 쉽게 그릴 수 있고, 보다 정확한 작도를 위하여 점과 원의 경계를 자동으로 인식하도록 구성하였다. 수학과 교육과정의 도형 학습 주제에 따라 GeoKids의 기능을 연계한 학습을 할 수 있다.

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Cutting simulation을 이용한 End-milling cutter의 모델링 및 제작에 관한 연구 (End-mill Modeling and Manufacturing Methodology via Cutting simulation)

  • 김재현;박수정;김종한;박정환;고태조;김희술
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.456-463
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    • 2005
  • This paper describes a design process of end-milling cutters: solid model of the designed cutter is constructed along with computation of cutter geometry, and the wheel geometry as well as wheel positioning data fur fabricating end-mills with required cutter geometry is calculated. In the process, the main idea is to use the cutting simulation method by which the machined shape of an end-milling cutter is obtained via Boolean operation between a given grinding wheel and a cylindrical workpiece (raw stock). Major design parameters of a cutter such as rake angle, inner radius can be verified by interrogating the section profile of its solid model. We studied relations between various dimensional parameters and proposed an iterative approach to obtain the required geometry of a grinding wheel and the CL data fer machining an end-milling cutter satisfying the design parameters. This research has been implemented on a commercial CAD system by use of the API function programming, and is currently used by a tool maker in Korea. It can eliminate producing a physical prototype during the design stage, and it can be used fur virtual cutting test and analysis as well.

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표정 정규화를 통한 얼굴 인식율 개선 (Improvement of Face Recognition Rate by Normalization of Facial Expression)

  • 김진옥
    • 정보처리학회논문지B
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    • 제15B권5호
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    • pp.477-486
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    • 2008
  • 얼굴의 기하학적 특징이 변하여 생기는 표정은 얼굴 인식 시스템의 인식 결과에 다양한 영향을 끼친다. 얼굴 인식율을 개선하기 위해 본 연구에서는 인식 대상 얼굴과 참조 얼굴 사이의 표정 차이를 줄이는 방법으로 얼굴 표정 정규화를 제안한다. 본 연구에서는 대형의 이미지 데이터베이스를 구축하지 않고도 한 개의 정지 이미지에 일반적인 얼굴 근육 모델을 이용하는 접근 방식을 제시하여 얼굴 표정 모델링과 정규화를 처리한다. 첫 번째 방식은 본능적으로 변하는 얼굴 표정의 생물학적 모델을 구축하기 위해 선형 근육 모델의 기하학적 계수를 예측하는 것이다. 두 번째 방식은 RBF(Radial Basis Function)기반의 보간과 와핑을 통해 주어진 표정에 따라 얼굴 근육 모델을 무표정한 얼굴로 정규화한 것이다. 실험 결과, 기저얼굴 방식, 지역 이진 패턴 방식, 회색조 상관측정 방식과 같은 얼굴 인식 과정의 전처리 단계로 본 연구의 표정 정규화 과정을 적용하면 정규화를 거치지 않은 것보다 더 높은 인식율을 보인다.

운전자 단기기억 특성을 고려한 차내 교통안전정보의 효용함수 추정 (Estimating Utility Function of In-Vehicle Traffic Safety Information Incorporating Driver's Short-Term Memory)

  • 김원철;;이수범
    • 대한교통학회지
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    • 제27권4호
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    • pp.127-135
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    • 2009
  • 도로 주행중 제공된 교통정보는 운전자의 단기기억에 저장되고 이는 수초가 지나면 기억에서 사라진다. 정보제공의 효과 평가시 더미변수를 이용하는 기존방법으로는 이러한 현상을 반영할 수 없는 한계가 있다. 보다 적절한 평가를 위해서, 본 연구는 전방 시야가 제약된 도심 신호교차로 접근로에서 실시한 주행실험 자료를 토대로 운전자의 단기기억을 고려한 차내 교통안전정보의 효용함수 특성화와 안전도 평가방법론을 제안한다. 이를 위해서, 운전자의 속도선택에 기초한 주행 안정성 평가모형을 순서 프로빗모형으로 개발하고, 교통운영, 기하구조, 도로환경, 운전자 요소를 동시에 고려하여 차내 교통안전정보의 효용함수를 추정하였다. 분석결과, 본 연구에서 제안한 차내 교통안전정보의 효용을 설명하는데 정규밀도 함수(지수함수)가 적합하고, 효용은 약 22초 동안 유지되며, 크기는 시간증가에 따라 감소하는 것으로 나타났다. 또한, 차내 실시간 교통안전정보의 중요도는 교통운영요소 보다는 낮고 기하구조요소 보다는 높은 것으로 분석되었다.

듀얼 반응표면법을 이용한 V-그루브 GMA 용접공정 최적화에 관한 연구 (A Study on the Optimization for a V-groove GMA Welding Process Using a Dual Response Method)

  • 박형진;안승호;강문진;이세헌
    • Journal of Welding and Joining
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    • 제26권2호
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    • pp.85-91
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    • 2008
  • In general, the quality of a welding process tends to vary with depending on the work environment or external disturbances. Hence, in order to achieve the desirable quality of welding, we should have the optimal welding condition that is not significantly affected by these changes in the environment or external disturbances. In this study, we used a dual response surface method in consideration of both the mean output variables and the standard deviation in order to optimize the V-groove arc welding process. The input variables for GMA welding process with the dual response surface are welding voltage, welding current and welding speed. The output variables are the welding quality function using the shape factor of bead geometry. First, we performed welding experiment on the interested area according to the central composite design. From the results obtained, we derived the regression model on the mean and standard deviation between the input and output variables of the welding process and then obtained the dual response surface. Finally, using the grid search method, we obtained the input variables that minimize the object function which led to the optimal V-groove arc welding process.

축대칭 복합압출공정의 소성변형 연구 (A Study of the Plastic Deformation in Axisymmetric Combined Extrusion)

  • 한철호
    • 대한기계학회논문집
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    • 제18권8호
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    • pp.2005-2015
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    • 1994
  • An analytical method based on the upper bound approach for the cup-bar axisymmetric combined extrusion is presented to determine the deformation zones as well as extrusion load and deformed geometry in the early stage. A new kiematically admissible velocity field is derived by the appropriate transformation of the original velocity field and applying the flow function approach. The derived velocity field is directly related to the boundary function for the plastically deforming zones and the parameter controlling the flow direction to the forward part or backward part. Experiments are carred out with the annealed aluminum 2024 at room temperature for the various area reductions. The workhardening effect is considered in the formulation as a function of the height ratio between the deformed billet and the orighinal billet to calculate the extrusion pressures. The theoretical predictions for the extrusion loads and deformed configuration are in good agreement with the experimental results.

Precise Edge Detection Method Using Sigmoid Function in Blurry and Noisy Image for TFT-LCD 2D Critical Dimension Measurement

  • Lee, Seung Woo;Lee, Sin Yong;Pahk, Heui Jae
    • Current Optics and Photonics
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    • 제2권1호
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    • pp.69-78
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    • 2018
  • This paper presents a precise edge detection algorithm for the critical dimension (CD) measurement of a Thin-Film Transistor Liquid-Crystal Display (TFT-LCD) pattern. The sigmoid surface function is proposed to model the blurred step edge. This model can simultaneously find the position and geometry of the edge precisely. The nonlinear least squares fitting method (Levenberg-Marquardt method) is used to model the image intensity distribution into the proposed sigmoid blurred edge model. The suggested algorithm is verified by comparing the CD measurement repeatability from high-magnified blurry and noisy TFT-LCD images with those from the previous Laplacian of Gaussian (LoG) based sub-pixel edge detection algorithm and error function fitting method. The proposed fitting-based edge detection algorithm produces more precise results than the previous method. The suggested algorithm can be applied to in-line precision CD measurement for high-resolution display devices.

기계 제품의 개념 설계를 위한 하향 설계 지원 CAD시스템의 개발 (Framework of a CAD System to Support Design Process Modeling of Mechanical Products)

  • 홍진웅;이건우
    • 한국CDE학회논문집
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    • 제5권4호
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    • pp.359-372
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    • 2000
  • Current CAD systems are good enough to be used as a tool to manipulate three-dimensional shapes. This is a very important capability to be owned by a design tool because a major portion of designers'activities is spent on the shape manipulation in the design detailing process. However, the whole design process involves a lot more than the, shape manipulation. Currently, these remaining tasks, mostly logical reasoning process for the function realization together with structure decomposition in the top-down manner, are processed in the designer's brain. To support the top-down functional design process of a mechanical product, a system integrating the functional, structural and geometrical aspects of a product design in a unified environment is presented. Using this system, a designer can perform function decomposition, structure decomposition, and geometry detailing, and function verification activities in parallel and the whole design process it modeled resultantly. Once the whole design process is modeled, any redesign task can be automatically performed with the verification of the desired functions.

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핵연료 봉다발내 비틀린 혼합날개의 형상최적설계 (Shape Optimization of A Twist Mixing Vane in Nuclear Fuel Assembly)

  • 정상호;김광용
    • 한국유체기계학회 논문집
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    • 제12권4호
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    • pp.7-13
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    • 2009
  • The purposes of present work are to analyze the convective heat transfer with three-dimensional Reynolds-averaged Navier-Stokes analysis, and to optimize shape of the mixing vane using the analysis results. Response surface method is employed as an optimization technique. The objective function is defined as a combination of inverse of heat transfer rate and friction loss. Two bend angles of mixing vane are selected as design variables. Thermal-hydraulic performances have been discussed and optimum shape has been obtained as a function of weighting factor in the objective function. The results show that the optimized geometry improves the heat transfer performance far downstream of the mixing vane.

핵연료 봉다발내 Y 혼합날개의 형상최적설계 (SHAPE OPTIMIZATION OF A Y-MIXING VANE IN NUCLEAR FUEL ASSEMBLY)

  • 정상호;김광용;김강훈;박성규
    • 한국전산유체공학회지
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    • 제14권2호
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    • pp.1-8
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    • 2009
  • The purposes of present work are to analyze the convective heat transfer with three-dimensional Reynolds-averaged Navier-Stokes analysis, and to optimize shape of the mixing vane taken tolerance into consideration by using the analysis results. Response surface method is employed as an optimization technique. The objective function is defined as a combination of heat transfer rate and inverse of pressure drop. Two bend angles of mixing vane are selected as design variables. Thermal-hydraulic performances have been discussed and optimum shape has been obtained as a function of weighting factor in the objective function. The results show that the optimized geometry improves the heat transfer performance far downstream of the mixing vane.