• Title/Summary/Keyword: splines

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Human Hand Deformation with Splines (스플라인을 이용한 인체 손 형상 변형)

  • Lee, Ji-Eun;Yoon, Seung-Hyun;Kim, Myung-Soo
    • Journal of the Korea Computer Graphics Society
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    • v.11 no.3
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    • pp.1-9
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    • 2005
  • 본 논문에서는 피부 변형 방법의 일종으로 스플라인 곡선과 곡면을 이용한 손 형상의 모델링 및 변형 기술을 소개하다. 손 형상의 골격 구조를 근사하는 스윕에 손 형상 메쉬 정점들을 바인딩 하여 관절의 변화에 따라 변형된 손 형상을 얻고, 손 자세 변형에 따라 손바닥 형상이 돌출되고 손금이 생기는 등 기존 연구에서 부족했던 손바닥 형상 변형의 사실성을 얻기 위해 손바닥 형상 변형을 제어하는 넙스 곡면을 생성하고 이용하였다. 손바닥 표면의 정 점들을 보간하여 생성된 넙스 곡면은 사실적인 손바닥 변형을 위해 소수의 보간 점들만 미리 정의된 방법으로 변경하면 되기 때문에 사용하기가 용이하다. 손금은 손바닥 곡면에 대한 차이 값으로 구현되어 손형상 자세에 부합하게 변형되며, 사람에 따라 다른 다양한 손금 형태를 지원할 수 있다. 연구 결과는 사실적인 형상 변형 결과를 보였으며, 실시간 실행이 가능하다.

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Multiblock Grid Generation for Turbomachinery Cascade-Flow Analysis (터보기계 익렬유동해석을 위한 다중블록 격자형성법)

  • Chung H. T.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.19-25
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    • 1996
  • A multiblock grid generation has been developed to be reliably used for a Navier-Stokes simulation of the turbomachinery flow-fields A multiblock structure simplifies the creation of structured H-grids about complex turbomachinery geometries and facilitate the creation of a grid in the tip flow region. The numerical algorithm adopts the combination of the algebraic and elliptic method to create the internal grids efficiently and quickly. The grid refinement process is enhanced by developing strategies to utilized Bezier curves and splines along with weighted transfinite interpolation technique and by formulating the grid-imbedding method for the viscous boundary-layer meshes. For purposes of illustration, the grid generator is applied to the high turning turbine rotor blades. Two different types of computational grids are provided to be compared with respect to the grid adaptation to the flow simulations. Extension to three-dimensions was done to show the possibility of its application to the tip-flow simulations. The grid quality of the multiblock structure is good in the passages, with gloval orthogonality and adequate smoothness.

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Weight Control and Knot Placement for Rational B-spline Curve Interpolation

  • Kim, Tae-Wan;Lee, Kunwoo
    • Journal of Mechanical Science and Technology
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    • v.15 no.2
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    • pp.192-198
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    • 2001
  • We consider an interpolation problem with nonuniform rational B-spline curves given ordered data points. The existing approaches assume that weight for each point is available. But, it is not the case in practical applications. Schneider suggested a method which interpolates data points by automatically determining the weight of each control point. However, a drawback of Schneiders approach is that there is no guarantee of avoiding undesired poles; avoiding negative weights. Based on a quadratic programming technique, we use the weights of the control points for interpolating additional data. The weights are restricted to appropriate intervals; this guarantees the regularity of the interpolating curve. In a addition, a knot placement is proposed for pleasing interpolation. In comparison with integral B-spline interpolation, the proposed scheme leads to B-spline curves with fewer control points.

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Vibration analysis of a shear deformed anti-symmetric angle-ply conical shells with varying sinusoidal thickness

  • Javed, Saira;Viswanathan, K.K.;Aziz, Z.A.;Lee, J.H.
    • Structural Engineering and Mechanics
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    • v.58 no.6
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    • pp.1001-1020
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    • 2016
  • The study is to investigate the free vibration of antisymmetric angle-ply conical shells having non-uniform sinusoidal thickness variation. The arbitrarily varying thickness is considered in the axial direction of the shell. The vibrational behavior of shear deformable conical shells is analyzed for three different support conditions. The coupled differential equations in terms displacement and rotational functions are obtained. These displacement and rotational functions are invariantly approximated using cubic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The vibration characteristic of the shells is examined for cone angle, aspect ratio, sinusoidal thickness variation, layer number, stacking sequence, and boundary conditions.

Free vibration analysis of composite cylindrical shells with non-uniform thickness walls

  • Javed, Saira;Viswanathan, K.K.;Aziz, Z.A.
    • Steel and Composite Structures
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    • v.20 no.5
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    • pp.1087-1102
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    • 2016
  • The paper proposes to characterize the free vibration behaviour of non-uniform cylindrical shells using spline approximation under first order shear deformation theory. The system of coupled differential equations in terms of displacement and rotational functions are obtained. These functions are approximated by cubic splines. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector which are spline coefficients. Four and two layered cylindrical shells consisting of two different lamination materials and plies comprising of same as well as different materials under two different boundary conditions are analyzed. The effect of length parameter, circumferential node number, material properties, ply orientation, number of lay ups, and coefficients of thickness variations on the frequency parameter is investigated.

Effective Computation for Odds Ratio Estimation in Nonparametric Logistic Regression

  • Kim, Young-Ju
    • Communications for Statistical Applications and Methods
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    • v.16 no.4
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    • pp.713-722
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    • 2009
  • The estimation of odds ratio and corresponding confidence intervals for case-control data have been done by traditional generalized linear models which assumed that the logarithm of odds ratio is linearly related to risk factors. We adapt a lower-dimensional approximation of Gu and Kim (2002) to provide a faster computation in nonparametric method for the estimation of odds ratio by allowing flexibility of the estimating function and its Bayesian confidence interval under the Bayes model for the lower-dimensional approximations. Simulation studies showed that taking larger samples with the lower-dimensional approximations help to improve the smoothing spline estimates of odds ratio in this settings. The proposed method can be used to analyze case-control data in medical studies.

Negative Binomial Varying Coefficient Partially Linear Models

  • Kim, Young-Ju
    • Communications for Statistical Applications and Methods
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    • v.19 no.6
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    • pp.809-817
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    • 2012
  • We propose a semiparametric inference for a generalized varying coefficient partially linear model(VCPLM) for negative binomial data. The VCPLM is useful to model real data in that varying coefficients are a special type of interaction between explanatory variables and partially linear models fit both parametric and nonparametric terms. The negative binomial distribution often arise in modelling count data which usually are overdispersed. The varying coefficient function estimators and regression parameters in generalized VCPLM are obtained by formulating a penalized likelihood through smoothing splines for negative binomial data when the shape parameter is known. The performance of the proposed method is then evaluated by simulations.

Dynamic Analysis of Gear System Using G.U.I. Program (G.U.I. 프로그램을 이용한 기어 시스템의 동적 해석)

  • 박왕준;윤구영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.857-860
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    • 1996
  • The area of gear dynamics has recently been the focus of many studies. A new tooth profile modification was proposed by author for reducing vibration and noise of involute gears. A comparative dynamic analysis of the gear drive with the involute tooth and the modified tooth profile(using cubic splines) is performed to the unuformal transmission error reduces the gear vibration and noise due to less dynamic tooth load variation during the meshing cycle. This work also include a gear design process by the meaning of a practical approach, such as Win95 based simulation program with all using basic geardesign variables. Especially this program enables gear designers to dynamic analysis based on G.U.I.

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Closed-Die Forging Analysis of Spling-LikeComponents (스플라인 기어류의 폐쇄단조 해석)

  • Lee, Seung-Dong;Kim, Won-Il;Kim, Yohng-Jo
    • Journal of the Korean Society of Industry Convergence
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    • v.2 no.2
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    • pp.187-194
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    • 1999
  • Closed-die forging of spline was analysed using the upper bound elemental technique, Two different forging methods, denoted here as side extrusion-forging and upset forging, were proposed, The kinematically admissible velocity fields for each of the forging methods, which could express trapezoidal, rectangular and serration tooth forms, were presented. Upper bounds to forging loads and deformed configurations were predicted using the velocity fields. Theoretical results were compared with experimental ones. Experiments with lead were carried out at room temperature where grease was used as a lubricant. The present investigation revealed that analytical forging loads were reduced by using the side extrusion-forging but the upset forging could improve configuration of the final forged splines.

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A Study on Gray Image Morphing Using Spline and Wavelet (스플라인과 웨이블릿을 적용한 그레이영상의 영상모핑에 관한 연구)

  • 정은숙;허창우;류광렬
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2002.05a
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    • pp.590-593
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    • 2002
  • A study on gray image morphing using 2D spline interpolation and 2D wavelet transform is presented. The B-spline of splines is used for interframe specified points to determine and the wavelet transform of transforms is applied for generating interframe images. The results are a smoothing image transfer by 2D spline and a removed degrading images as a blotting by 2D wavelet transform is making a good morphing image.

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