• Title/Summary/Keyword: Shape representation

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Estimation of the Scale Parameter in the Weibull Distribution Based on the Quasi-range

  • Woo, Jung-Soo;Lee, Kgoang-Ho
    • Journal of the Korean Statistical Society
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    • v.12 no.2
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    • pp.69-80
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    • 1983
  • The purpose of this paper is to obtain representation of the mathematical special functions and the numerical values of the mean square errors for the quasi-ranges in random small smaples ($n \leq 30$) from the Weibull distribution with a shape and a scale parameters, and to estimate the scale parameter by use of unbiased estimator based on the quasi-range. It will be shown that the jackknife estimator of the range is worse than the range of random samples from the given distribution in the sense of the mean square error.

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형상보건을 이용한 유한요소 격자생성

  • Lee, Won-Yang;Choi, Young;Cho, Sung-Wook
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.298-302
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    • 1994
  • A three dimensional FE mesh generation scheme based on mapping approach is proposed in this study. A volume in Euclcdian space is represented by composite hyperpatches which are piecewise cubic functions with parameters u,v,w. A key idea in the proposed approach is that sampled grid data points only on the boundary surfaces are needed for the shape representation. Inner points which are necessary of form a hyperpatch are internally generated by Coons patches. This approach is most appropriate for the shapes which are compositions of hexahedron-like shapes and also severely curved.

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Analysis of Waveguide Junction in H-Plane Using Finite Element-Boundary Element Method (혼합 유한요소법을 사용한 H-평면의 도파관 접합 해석)

  • 정진교;천창열;정현교;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.4
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    • pp.666-672
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    • 1994
  • An H-Plane waveguide component with arbitrary shape is analyzed using finite element method(FEM) Cooperated with boundary element method(BEM). For the application of BEM in the waveguide structure, a ray representation of the waveguide Green's function is used. This technique is applied to the analysis of the waveguide inductive junction. The results are compared with the results of the mode matching technique. The comparison shows good agreement.

Polygonal Approximation of Digital Curves to Preserve Original Shapes

  • Lee, Dae-Ho;Lee, Seung-Gwan
    • ETRI Journal
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    • v.32 no.4
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    • pp.630-633
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    • 2010
  • In this letter, we propose a novel polygonal approximation of digital curves that preserve original shapes. The proposed method first detects break points, which have two different consecutive vectors, and sets an initial dominant point set. The approximation is then performed iteratively by deleting a dominant point using a novel distance, which can measure both the distance and the angle acuteness. The experimental results show that the proposed method can preserve original shapes and is appropriate for various shapes, including slab-sided shapes.

Shape Optimization of Three-Dimensional Continuum Structures by Force Approximation Techniques (힘 근사화 기법에 의한 3차원 연속체 구조물의 형상최적화)

  • Han, Sang Hoon;Lee, Woong Jong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.39-46
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    • 1993
  • The need to develop method which can improve the shape design efficiency using high quality approximation is being brought up. In this study, to perform shape optimal design of three-dimensional continuum structures an efficient approximation method for stress constraints is proposed, based on expanding the nodal forces in Taylor series with respect to shape variables. Numerical examples are performed using the 3-D cantilever beam and fixed-fixed beam and compared with other method to demonstrate the efficiency and convergence rate of the Force Approximation method. It is shown that by taking advantage of this high quality approximation, the total number of finite element analysis required for shape optimization of 3-D continuum structures can be reduced significantly, resulting to the same level of efficiency achieved previously in sizing optimization problems. Also, shape representation by super curve technique applied to obtain optimal shape finds useful method.

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Evaluation of shape similarity for 3D models (3차원 모델을 위한 형상 유사성 평가)

  • Kim, Jeong-Sik;Choi, Soo-Mi
    • The KIPS Transactions:PartA
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    • v.10A no.4
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    • pp.357-368
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    • 2003
  • Evaluation of shape similarity for 3D models is essential in many areas - medicine, mechanical engineering, molecular biology, etc. Moreover, as 3D models are commonly used on the Web, many researches have been made on the classification and retrieval of 3D models. In this paper, we describe methods for 3D shape representation and major concepts of similarity evaluation, and analyze the key features of recent researches for shape comparison after classifying them into four categories including multi-resolution, topology, 2D image, and statistics based methods. In addition, we evaluated the performance of the reviewed methods by the selected criteria such as uniqueness, robustness, invariance, multi-resolution, efficiency, and comparison scope. Multi-resolution based methods have resulted in decreased computation time for comparison and increased preprocessing time. The methods using geometric and topological information were able to compare more various types of models and were robust to partial shape comparison. 2D image based methods incurred overheads in time and space complexity. Statistics based methods allowed for shape comparison without pose-normalization and showed robustness against affine transformations and noise.

An Efficient Method for Representing of Binary Images by Region-centralized Shape Descriptor (영역집중 형태 기술자에 의한 이진 영상의 효과적인 표현 방법)

  • Kim, Seon-Jong;Kwon, Hyeog-Soong
    • The KIPS Transactions:PartB
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    • v.14B no.1 s.111
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    • pp.5-12
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    • 2007
  • This paper gives a novel approach that can be represented an image efficiently with its region and shape information together. To do this, we introduced a region-centralized shape descriptor(RCSD) that the size of region only exists at a center point. RCSD consists of circles with three parameters, the distance and the angle between the tenter points, and the diameter, respectively We verified the RCSD parameters to have an information of shape. We can be proved this by reconstructing the shape from the given parameters and evaluated the difference between the its image and the original one. To get this image, we find the estimated points on the contour from the parameters, and connect them by using an interpolation. According to the evaluation, we obtained 88% performance for real images, and showed that it can be used efficiently for representing the binary images. Also we cu make RCSD parameters to be the normalized patterns to have an invariant of its scale or position, and expand them to improve the quality of the performance.

Examination of the Effect of Reference on Shape Perception during Pursuit by Eye Movements Recording and Analysis (눈 운동 측정 및 분석을 이용한 추적 눈 운동 동안의 모양지각 왜곡에 대한 참조대상의 영향 검증)

  • Li Hyung-Chul;Cornelissen Frans;Brenner Eli
    • Korean Journal of Cognitive Science
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    • v.16 no.3
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    • pp.175-188
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    • 2005
  • Recently, Li, Brenner, Cornelissen and Kim (2002) reported that 2D shape perception during pursuit eye movement just reflected the retinal image, and this result implies that the visual system ignored the extra-retinal information. In reality, however, we usually do not experience the perceptual distottion of 2D shape during pursuit eye movement. One Possibility is that the visual system night exploit the fact that the relative location between objects on retinal image is constantly maintained even during pursuit eye movement. The present research examined this possibility. Interestingly, perceptual distortion of 2D shape was observed even in the presence of reference, however, the amount of distortion decreased compared to when the reference does not exist. The distance between the reference and the target affected the perceptual distortion. These results imply that reference information is used in 2D shape perception during pursuit eye movement but it cannot completely explain the stable and accurate representation of 2D shape perception during pursuit eye movement.

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Shape Measurement and Representation of 3-D Curved Objects using Simple Back-Projection algorithm (단순역투영법을 이용한 3차원 곡면물체의 형상계측 및 표현)

  • 최종수;김덕수
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.1
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    • pp.61-67
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    • 1985
  • The new computer vision system which can reconstruct contours of parallel fault planes with horizon of 3-D curved objects has been developed. With the system, the shape of 3-D objects was measured by Simple Back-Projection algorithm which is a fundamental one in C.T.(Computed Tomography). And, the curvature in differential geometry characterizes any curve. Devising it, the method to represent each contour of 3-D curved objects with the system is described in this paper.

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Representation of Geometric Tolerances and its Application to Assemblability Checking (기하 공차의 표현 및 조립성 확인에의 응용)

  • 박상호;이건우
    • Korean Journal of Computational Design and Engineering
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    • v.1 no.3
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    • pp.215-223
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    • 1996
  • Every mechanical part is fabricated with the variations in its size and shape, and the allowable range of the variation is specified by the tolerance in the design stage. Geometric tolerances specify the size or the thickness of each shape entity itself or its relative position and orientation with respect to datums while considering their order of precedence. It would be desirable if the assemblability of parts could be verified in the computer when the tolerances on the parts are store together with the geometric model of the parts of an assembly and their assembled state. Therefore, a new method is proposed to represent geometric tolerances and to determine the assemblability. This method determines the assemblability by subdividing the ranges of relative motion between parts until there exists the subdivided regions that do not cause the interference.

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