• Title/Summary/Keyword: curvature estimation

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The Estimation of Curvature Deformation of Steel Plates in Water Cooling Process after Line Heating (선상 가열시 수냉 효과를 고려한 강판의 변형 추정에 관한 연구)

  • HwangBo, Hyeok;Yang, Park-Dal-Chi
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2006.11a
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    • pp.209-212
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    • 2006
  • Line heating with water cooling is generally adapted process in the shipyards for the forming hull surface. The purpose of this paper is to develop a model of thermal deformation in water cooling process after the line heating. In order to simulate the cooling process, heat transfer analysis was performed by assuming the effects of water cooling as a negative heat-source. Experiment for the line heating with water cooling was performed for 9 models of plates in order to verify the cooling model. By using the suggested model for the water cooling process, it could be observed that the present method predict the plate deformations in the line heating more accurately.

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Gaussian Curvature Error Estimation for Mesh Simplification (Gaussian 곡률 오차 추정을 이용한 Mesh 간략화)

  • 임수일;임수일;김창헌
    • Proceedings of the Korean Information Science Society Conference
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    • 1998.10c
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    • pp.650-652
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    • 1998
  • 본 논문은 mesh 간략화를 위한 새로운 Gaussian 곡률 오차 추정 방법을 제안한다. Gaussian 곡률은 임의의 형상을 갖는 삼각화 된 단면체 표면에 대하여 위상과 기하학적 정보를 angle 과 face 의 관계로 정형화하여, vertex에 관한 곡률로 근사하여 표현한다. 간략화 방법은 지역적 형상으로부터 전체적인 형상을 추정한 후, 적절한 curvature criteria 로 간략화가 될 vertex를 선택하고 제거한다. 제거된 vertex에 의해 생성된 hole은 곡률에 기반하여 삼각화하고 곡률이 변화되는 vertex들의 Gaussian 곡률 오차를 계산한다. 각 간략화 level마다 최대 Gaussian 곡률 오차를 계산하므로, 사용자는 Gaussian 곡률 오차 추정으로 원하는 간략화 level을 지정할 수 있다. 또한 주어진 오차 안에서 vertex뿐만 아니라 edge나 face의 제거로, 간략화 되는 영역을 확산시켜 필요한 위상과 기하학적 정보를 유지하는 간략화를 할 수 있다.

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Estimation Method of the Best-Approximated Form Factor Using the Profile Measurement of the Aspherical Ophthalmic Lens (단면 형상 측정을 이용한 비구면 안경 렌즈의 최적 근사화된 설계 계수의 추정 방법)

  • Lee Hocheol
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.5 s.170
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    • pp.55-62
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    • 2005
  • This paper presents mainly a procedure to get the mathematical form of the manufactured aspherical lens. Generally Schulz formula describes the aspherical lens profile. Therefore, the base curvature, conic constant. and high-order polynomial coefficient should be set to get the approximated design equation. To find the best-approximated aspherical form, lens profile is measured by a commercial stylus profiler, which has a sub-micrometer measurement resolution. The optimization tool is based on the minimization of the root mean square of error sum to get the estimated aspherical surface equation from the scanned aspherical profile. Error minimization step uses the Nelder-Mead simplex (direct search) method. The result of the lens refractive power measurement shows the experimental consistency with the curvature distribution of the best-approximated aspherical surface equation

A Study on the Cost Estimates for Optimization in the Free-Form Building Facade (비정형 건축물 파사드의 개산견적을 위한 최적화에 관한 연구)

  • Lim, Jang-Sik;Ock, Jong-Ho
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2013.05a
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    • pp.133-135
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    • 2013
  • The most difficult process in the construction of free-form buildings is to manufacture and construct exterior panels designed in a complex way. The façade of the free-form buildings include flat-panels, one-way curvature-panels, and bi-directional curvature panels. To construct these forms, it is necessary to go through the process of optimizing. But as for the optimizing technologies, BIM-specializing companies exclusively protect those technologies, so small construction companies have difficulty in rough estimates. Therefore, this study was aimed to provide the basic data in making the rough estimates of free-form buildings by carrying out the optimizing process for the façade of Dongdaemun Design Plaza and conducting the rough estimates according to the stage of production methods and optimization.

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Fast Axis Estimation from 3D Axially-Symmetric Object's Fragment (3차원 회전축 대칭 물체 조각의 축 추정 방법)

  • Li, Liang;Han, Dong-Jin;Hahn, Hern-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.6
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    • pp.748-754
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    • 2010
  • To reduce the computational cost required for assembling vessel fragments using surface geometry, this paper proposes a fast axis estimation method. Using circular constraint of pottery and local planar patch assumption, it finds the axis of the symmetry. First, the circular constraint on each cylinder is used. A circular symmetric pot can be thought of unions of many cylinders with different radii. It selects one arbitrary point on the pot fragment surface and searches a path where a circumference exists on that point. The variance of curvature will be calculated along the path and the path with the minimum variance will be selected. The symmetric axis will pass through the center of that circle. Second, the planar patch assumption and profile curve is used. The surface of fragment is divided into small patches and each patch is assumed as plane. The surface normal of each patch will intersects the axis in 3D space since each planar patch faces the center of the pot. A histogram method and minimization of the profile curve error are utilized to find the probability distribution of the axis location. Experimental results demonstrate the improvement in speed and robustness of the algorithms.

Estimation of the Water Surface Slope by the River Bend Curvature and Flood Discharge (하천 만곡률과 홍수량에 따른 수면경사도 산정)

  • Choi, Han-Kuy;Lee, Mun-Hee;Baek, Hyo-Sun;Park, Soo-Jin
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.2 s.25
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    • pp.65-71
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    • 2007
  • In this research, we made a one and two-dimensional analysis of numerical data collected from the bend curvature of a bended river section. According to the result from the numerical analysis, the inflow & output angle caused a water level deviation which increased with an increase of the flood discharge. From the water level deviation of our two-dimensional numerical model, we obtained the maximum slope of 6,67% when the inflow and output angle was 105 degrees and the flood discharge was 500 CMS. As for the right side, the differences with the one-dimensional numerical model were reduced when the angle was more than $90^{\circ}$. As for the left side the differences were reduced when the angle was more than $105^{\circ}$. For a river with more than 90 degrees bend curvature, a hydraulic experiment would be more appropriate than a numerical analysis.

Prediction of the Clothing Pressure Using the Radii of Double Curvature and Transformation of a Fabric (인체의 복곡면과 직물 변형 특성을 이용한 의복압 예측법의 개선)

  • Lee, Ye-Jin;Hong, Kyung-Hi
    • Journal of the Korean Society of Clothing and Textiles
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    • v.29 no.8 s.145
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    • pp.1168-1175
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    • 2005
  • Clothing pressure has close relation with clothing comfort and depends on the pattern and properties of textile fabrics. Choosing a suitable clothing pressure is an essential factor for designing functional clothing such as the foundation for reshaping of a body contour or medical items for bum patient, and etc. However, it is hard to measure pressure values at the curved surface of a human body correctly. Recently, an air pack type pressure sensor, which has relatively excellent performance has been used to measure clothing pressure, however, it is still inconvenient to apply because it is a contact- type sensor. Therefore, in this paper, we suggest an indirect method that can measure clothing pressure without touching the subject by improving the equation of Kirk and Ibrahim (1966). However, confusions have been occurred when someone use the equation since the definition of parameters are somewhat vague. Furthermore, the estimated clothing pressure obtained by the previous method are quite different from the real values because this method does not consider the 3D effect of a human body and property changes of a transformed fabric. In this paper, the direction of principal stress and the radius of curvature in the principal direction were searched in the 3D image of the deformed girdle to get more accurate clothing pressure. The estimated clothing pressure was verified by comparing the result of the air pack type pressure sensor. It was found that the accuracy of the pressure estimation was improved by considering the 3D curvature of human body and the directional characteristics of textile fabrics.

Estimation Curvature Change Due to Layer Removal in Strips with Uniaxial Residual Stress Fidlds (축방향의 잔류응력이 내재하는 STRIP의 층 가공에 따른 곡율변화)

  • 신상현
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.33 no.2
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    • pp.149-155
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    • 1997
  • 잔류응력을 측정하는 비파괴 방법중 Neutron diffraction technique의 발달로 인하여 기존의 X-ray diffraction technique에 비하여 잔류응력 측정가능 두께가 대부분의 물질에 있어서 훨씬 깊어졌다. 비파괴 방법으로 부품내의 잔류응력 분포가 측정되어진 경우, 부품의 가공시 잔류응력의 재분포로 인한 형상의 변화를 정량적으로 예측할 수 있는 방법에 대해 어떠한 경우도 논의된 바 없다. 본 연구에서는 축 방향의 잔류응력이 내재하는 strip의 층 가공시 일어나는 strip의 곡율변화를 정량적으로 예측할 수 있는 수식을 제시하였다. 간단히 컴퓨터 프로그램화 할 수 있는 수식을 전개하므로 써 현장에서 유용하게 이용할 수 있게 하였다.

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A NOTE ON THE GEOMETRICAL PROPERTIES OF THE NORMAL DISTRIBUTION

  • Cho, Bong-Sik
    • Honam Mathematical Journal
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    • v.29 no.1
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    • pp.75-81
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    • 2007
  • The Fisher information matrix plays a significant role in statistical inference in connection with estimation and properties of variance of estimators. In this paper, the parameter space of the normal distribution using its Fisher's matrix is defined. The Riemannian curvature and J-divergence to parameter space are calculated.

GEOMETRICAL PROPERTIES OF t-DISTRIBUTION

  • CHO, BONG SIK;BAEK, HOH YOO
    • Honam Mathematical Journal
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    • v.28 no.3
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    • pp.433-438
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    • 2006
  • The Fisher information matrix plays a significant role in statistical inference in connection with estimation and properties of variance of estimators. In this paper, the parameter space of the t-distribution using its Fisher's matrix is defined. The Riemannian and scalar curvatures to parameter space are calculated.

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