• Title/Summary/Keyword: Bezier

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A Study of Broad-band Conformal Beam Forming using Moving Least Squares Method (Moving Least Squares 기법을 이용한 광대역 컨포멀 빔 형성 연구)

  • Jung, Sang-Hoon;Lee, Kang-In;Jung, Hyun-Kyo;Chung, Young-Seek
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.68 no.1
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    • pp.83-89
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    • 2019
  • In this paper, beam forming using moving least squares method (MLSM) is studied. In the previous research, the least squares method (LSM), one of the data interpolation methods, was used to determine the desired beam pattern and obtain a beam pattern that minimizes the square of the error with the desired beam pattern. However, LSM has a disadvantage in that the beam pattern can not be formed to satisfy the exact steering angle of the desired beam pattern and the peak sidelobe level (PSLL) condition. To overcome this drawback, MLSM is used for beam forming. In order to verify, the proposed method is applied in beam forming of Bezier platform array antenna which is one of conformal array antenna platform.

A Study on the Optimal Shape Design Using Automatic Regridding and Design Element (자동 격자 생성법과 설계 요소를 이용한 형상 최적 설계에 관한 연구)

  • Kim, Ho-Ryong;Dan, Byung-Ju
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.3
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    • pp.87-96
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    • 1993
  • In this study, the peak stress of a fuillet in elastic structure was optimized to have minimum value by using quadratic isoparametric element. The method of auomatic gridding was also developed along with shape algorithm and design element technique was adopted in selecting design variables. The computer program developed was combined with the Hooke-Jeeves direct algorithm of optimization techniques in order to minimize the peak stress of the fillet. The imployment of design element technique significantly cut down computer time by the reduction in design variables, and the opitmum fillet shape with uniform minimum stress was obtained by varying design variables along x and y directions in improving the shape compared to other results. By using automatic gridding, in which Bezier surfaces and Coons surfaces of cubic interpolation were employed, the irregular boundary was removed resulting in smoother anbd more accurate fillet shape possessing uniform minimum stress.

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A Study on the Optimal Probe Path Generation for Sculptured Surface Inspection Using the Coordinate Measuring Machine (3차원 측정기를 이용한 자유곡면 측정시 최적의 경로 결정에 관한 연구)

  • Cho, Myung-Wo;Yi, Seung-Jong;Kim, Moon-Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.10
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    • pp.121-129
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    • 1995
  • The objective of this research is to develop an effective inspection planning strategy for sculptured surfaces by using 3-dimensional Coordinate Measuring Machine (CMM). First, the CAD/CAM database is generated by using the Bezier surface patch mathod and variable cutter step size approach for design and machining of the workpiece model. Then, optimum measuring point locations are determained based on the mean curvature analysis to obtain more effective inspection results for the given sample numbers. An optimal probe sequence generation method is proposed by implementing the Traveling Salesperson (TSP) algorithm and new guide point selection methods are suggested based on the concepts of the variable distance between the first and second guide points. Finally, simulation study and experimental work show the effectiveness of the proposed strategy.

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Bending-based Adaptive Sampling for Efficient Hair Simulations (효율적인 헤어 시뮬레이션을 위한 굽힘 기반 적응형 샘플링)

  • Yun, Ju-Young;Kim, Donghui;Kim, Jong-Hyun
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2022.01a
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    • pp.353-355
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    • 2022
  • 본 논문에서는 외력에 의해 헤어가 움직일 때, 전체가 아닌 변형률이 큰 부분에 입자 제어점을 추가하여 베지에 곡선을 그리는 적응형 헤어 시뮬레이션 기법을 제안한다. 일반적인 정규화 샘플링을 통한 물리 시뮬레이션은 헤어의 움직임에 대한 정확도가 높은 반면, 계산량이 증가하고 메모리를 많이 차지하기 때문에 비효율적이다. 이 문제는 굽힘이 일어나는 특정 부분만 활용한 적응형 샘플링을 통해 해결할 수 있으며, 메모리뿐만 아니라 속도 측면에서도 모두 우수한 성능을 보인다. 본 논문에서 제안하는 방법을 이용한 굽힘 샘플링 기법은 헤어의 굽힘 패턴에 따라 실시간으로 표현되며 자연스럽고 부드러운 실제 헤어와 유사한 결과를 보여준다.

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G3 HEXIC Bézier CURVES APPROXIMATING CONIC SECTIONS

  • HYEONG MOON YOON;YOUNG JOON AHN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.28 no.1
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    • pp.22-32
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    • 2024
  • In this paper we present a method of conic section approximation by hexic Bézier curves. The hexic Bézier approximants are G3 Hermite interpolations of conic sections. We show that there exists at least one hexic Bézier approximant for each weight of the conic section The hexic Bézier approximant depends one parameter and it can be obtained by solving a quartic polynomial, which is solvable algebraically. We present the explicit upper bound of the Hausdorff distance between the conic section and the hexic Bézier approximant. We also prove that our approximation method has the maximal order of approximation. The numerical examples for conic section approximation by hexic Bézier curves are given and illustrate our assertions.

Interactive System for Efficient Video Cartooning (효율적인 비디오 카투닝을 위한 인터랙티브 시스템)

  • Hong, Sung-Soo;Yoon, Jong-Chul;Lee, In-Kwon
    • 한국HCI학회:학술대회논문집
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    • 2006.02a
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    • pp.859-864
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    • 2006
  • Mean shift 는 데이터의 특징을 잘 살려내는 None-parametric 방법으로, 특히 영상처리분야에서 많은 각광을 받아왔다. 하지만 좋은 결과를 보장하는 뛰어난 성능에도 불구하고, 높은 메모리소요와 긴 처리시간에 기인하여, 비디오처리 등의 분야에 적용하기엔 현실적인 제약점이 있다. 상기한 제약점을 극복하기 위해, 본 시스템은 비디오를 분석하여 전경과 후경으로 나눈다. 본 논문은 전경으로 분류된 부분에 대해 각 분리된 개체를구분하고, 좌표변환(coordinate shift)을 실행하여 연산을 할 비디오의 연산의 규모를 줄이는 방법론을 제시한다. 이러한 처리로 매우 많은 처리시간이 단축됨을 실험을 통해 알 수 있었다. 다음으로, 나뉘어진 전경에 3D mean shift를 적용하여 생성된 결과물에 대하여 3D cluster data structure 를 생성하고, 이를 이동하여 인터랙티브 에디팅이 가능하도록 하였다. 후경으로 나뉜 데이터는 이미지 한 장으로 축약이 되며, 2D mean shift 기반의 interactive cartooning system 을 통하여 만화화가 된다. 본 논문은 만화 특유의 단순한 톤을 표현하기 위해, 세밀한 분할이 필요한 부분과 그렇지 않은 부분을 따로 구분하여 처리하는 레이어처리방법을 제안한다. 위의 과정을 여러 실사이미지에 적용, 실험해본 결과 기존의 연구결과에 비해 매우 짧은 시간 내에 대상의 특징이 잘 나타낸 양질의 결과물이 생성되었다. 이러한 결과물은 출판, 영상편집분야 등 여러 분야에서 요긴하고 간편하게 사용될 수 있을 것으로 생각된다.

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A Study on Acoustic Radiation Reduction of a Vibrating Panel by Using Particle Swarm Optimization Algorithm (군집행동 알고리즘을 이용한 판넬구조물의 방사소음저감에 관한 연구)

  • Jeon, Jin-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.5
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    • pp.482-490
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    • 2009
  • In this paper, the author proposes a new method for acoustic radiation optimum design to minimize noise from a vibrating panel-like structure using a collaborative population-based search method called the particle swarm optimization algorithm(PSOA). The PSOA is a parallel evolutionary computation technique initially developed by Kennedy and Eberhart. The acoustic radiation optimization method based on the PSOA consists of two processes. In the first process, the acoustic radiation analysis by an integrated p-version FEM/BEM, which was developed by using MATLAB, is performed to evaluate the exterior acoustic radiation field of the panel. The second process is to search the optimum design variables: 1) Shape of Bezier curves and 2) Shape and position of ribs, to minimize noise from the panel using the PSOA. The optimization method based on the PSOA is compared to that based on the steady state genetic algorithm(SSGA) in order to verify the effectiveness and validity of the optimal solution by PSOA. Finally, it is shown that the optimal designs of the panel obtained by using the PSOA can achieve effective reductions in radiated sound power.

Generating Cartesian Tool Paths for Machining Sculptured Surfaces from 3D Measurement Data (3차원 측정자료부터 자유곡면의 가공을 위한 공구경로생성)

  • Ko, Byung-Chul;Kim, Kwang-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.3
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    • pp.123-137
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    • 1993
  • In this paper, an integrated approach is proposed to generate gouging-free Cartesian tool paths for machining sculptured surfaces from 3D measurement data. The integrated CAD/CAM system consists of two modules : offset surface module an Carteian tool path module. The offset surface module generates an offset surface of an object from its 3D measurement data, using an offsetting method and a surface fitting method. The offsetting is based on the idea that the envelope of an inversed tool generates an offset surface without self-intersection as the center of the inversed tool moves along on the surface of an object. The surface-fitting is the process of constructing a compact representation to model the surface of an object based on a fairly large number of data points. The resulting offset surtace is a composite Bezier surface without self-intersection. When an appropriate tool-approach direction is selected, the tool path module generates the Cartesian tool paths while the deviation of the tool paths from the surface stays within the user-specified tolerance. The tool path module is a two-step process. The first step adaptively subdivides the offset surface into subpatches until the thickness of each subpatch is small enough to satisfy the user-defined tolerance. The second step generates the Cartesian tool paths by calculating the intersection of the slicing planes and the adaptively subdivided subpatches. This tool path generation approach generates the gouging-free Cartesian CL tool paths, and optimizes the cutter movements by minimizing the number of interpolated points.

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The Effect of Advice Information for Arriving Aircraft Landing Order on Air Traffic Controller's Work Efficiency (도착항공기 착륙순서에 관한 조언정보가 관제사 업무효율에 미치는 영향)

  • Kim, Seyeon;Chai, Hongah;Jung, Hyuntae;Kim, Huiyang;Lee, Keumjin
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.26 no.3
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    • pp.23-31
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    • 2018
  • This paper describes the effect of advice information for arriving aircraft landing order on the air traffic controller's work efficiency. The air traffic control simulator used in the experiment was modeled on the basis of the aircraft parameters from BADA, gamma-command model and the 4-dimensional trajectory using the Bezier curve. The simulation results show that advice information was helpful for the performance of the work for users who did not have the air traffic control training. On the other hand, in case of users who have experience in air traffic control training, the work efficiency was lowered when the advisory information that does not reflect the user's intention is provided. Therefore, it can be seen that the effect of improving the work efficiency through advice information can be limited depending on the skill level of the air traffic controllers and the complexity of the air traffic situation.

A Study on 3d Reconstruction and Simulated Implantation of Human Femur Using Consecutive CT-Images (연속된 CT-Image를 이용한 고관절 3d 형상의 재구성 및 Simulated Implantation System 구축에 관한 연구)

  • 민경준;김중규;최재봉;최귀원
    • Journal of Biomedical Engineering Research
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    • v.20 no.2
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    • pp.155-164
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    • 1999
  • In this paper, the prototype of SIS(Simulated Implantation System) for human femoral head is introduced. SIS is a software which carries on a virtual femoral head replacement surgery including 3d visualization as well as various numeric analyses between a patient's femur and artificial femur through certain stages of the image processing and of the computer graphics. Also, processes required after acquiring consecutive CT-images and projected image of an artificial femur are discussed, and the corresponding results including prototype of SIS are given.

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