• 제목/요약/키워드: splines

검색결과 173건 처리시간 0.025초

A B-Spline Higher Order Panel Method Applied to the Radiation Wave Problem for a 2-D Body Oscillating on the Free Surface

  • Hong, D.C.;Lee, C.-S.
    • Journal of Ship and Ocean Technology
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    • 제3권4호
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    • pp.1-14
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    • 1999
  • The improved Green integral equation using the Kelvin-type Green function in known free of irregular frequencies where the integral over the inner free surface integral is removed from the integral equation, resulting in an overdetermined integral equation. The solution of the overdetermined Green integral equation is shown identical with the solution of the improved Green integral equation Using the B-spline higher order panel method, the overdetermined equation is discretized in two different ways; one of the resulting linear system is square and the other is redundant. Numerical experiments show that the solutions of both are identical. Using the present methods, the exact values and higher derivatives of the potential at any place over the wetted surface of the body can be found with much fewer panels than low order panel method.

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기하학적으로 정확한 쉘 요소의 NLib에 의해 생성된 NURBS 곡면에의 적용 (The application of geometrically exact shell element to NURBS generated by NLib)

  • 최진복;노희열;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.301-308
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    • 2005
  • In this study, we implement a framework that directly links a general tensor-based shell finite element to NURBS geometric modeling. Generally, in CAD system the surfaces are represented by B-splines or non-uniform rational B-spline(NURBS) blending functions and control points. Here, NURBS blending functions are composed by two parameters defined in local region. A general tensor-based shell element also has a two-parameter representation in the surfaces, and all the computations of geometric quantities can be performed in local surface patch. Naturally, B-spline surface or NURBS function could be directly linked to the shell analysis routine. In our study, we use NLib(NURBS libraray) to generate NURBS for shell finite analysis. The NURBS can be easily generated by interpolating or approximating given set of data points through NLib.

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분산형 볼륨 데이터의 VNURBS 기반 다중 잔차 근사법 (Multiresidual approximation of Scattered Volumetric Data with Volumetric Non-Uniform Rational B-Splines)

  • 박상근
    • 한국CDE학회논문집
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    • 제12권1호
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    • pp.27-38
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    • 2007
  • This paper describes a multiresidual approximation method for scattered volumetric data modeling. The approximation method employs a volumetric NURBS or VNURBS as a data interpolating function and proposes two multiresidual methods as a data modeling algorithm. One is called as the residual series method that constructs a sequence of VNURBS functions and their algebraic summation produces the desired approximation. The other is the residual merging method that merges all the VNURBS functions mentioned above into one equivalent function. The first one is designed to construct wavelet-type multiresolution models and also to achieve more accurate approximation. And the second is focused on its improvement of computational performance with the save fitting accuracy for more practical applications. The performance results of numerical examples demonstrate the usefulness of VNURBS approximation and the effectiveness of multiresidual methods. In addition, several graphical examples suggest that the VNURBS approximation is applicable to various applications such as surface modeling and fitting problems.

Fuzzy System Representation of the Spline Interpolation for differentiable functions

  • Moon, Byung-Soo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.358-363
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    • 1998
  • An algorithm for representing the cubic spline interpolation of differentiable functions by a fuzzy system is presented in this paper. The cubic B-spline functions which form a basis for the interpolation function are used as the fuzzy sets for input fuzzification. The ordinal number of the coefficient cKL in the list of the coefficient cij's as sorted in increasing order, is taken to be the output fuzzy set number in the (k, l) th entry of the fuzzy rule table. Spike functions are used for the output fuzzy sets, with cij's as support boundaries after they are sorted. An algorithm to compute the support boundaries explicitly without solving the matrix equation involved is included, along with a few properties of the fuzzy rule matrix for the designed fuzzy system.

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Multivariable Bayesian curve-fitting under functional measurement error model

  • Hwang, Jinseub;Kim, Dal Ho
    • Journal of the Korean Data and Information Science Society
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    • 제27권6호
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    • pp.1645-1651
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    • 2016
  • A lot of data, particularly in the medical field, contain variables that have a measurement error such as blood pressure and body mass index. On the other hand, recently smoothing methods are often used to solve a complex scientific problem. In this paper, we study a Bayesian curve-fitting under functional measurement error model. Especially, we extend our previous model by incorporating covariates free of measurement error. In this paper, we consider penalized splines for non-linear pattern. We employ a hierarchical Bayesian framework based on Markov Chain Monte Carlo methodology for fitting the model and estimating parameters. For application we use the data from the fifth wave (2012) of the Korea National Health and Nutrition Examination Survey data, a national population-based data. To examine the convergence of MCMC sampling, potential scale reduction factors are used and we also confirm a model selection criteria to check the performance.

Influence Diagnostic Measure for Spline Estimator

  • Lee, In-Suk;Cho, Gyo-Young;Jung, Won-Tae
    • 품질경영학회지
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    • 제23권4호
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    • pp.58-63
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    • 1995
  • To access the quality of a fit to a set of data it is always useful to conduct a posteriori analysis involving the examination of residuals, detection of influential data values, etc. Smoothing splines are a type of nonparametric regression estimators for the diagnostic problem. And leverage value, Cook's distance, and DFFITS are used for detecting influential data. Since high leverage points will always have small residuals, the new diagnostic measures including of properties of leverage and residuals are needed. In this paper, we propose FVARATIO version as diagnostic measure in nonparametric regression. Also we consider the rough bound as analogy with linear regression case.

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태권도 격파시 인체 충격력에 대한 연구 (A Study on Impact analysis of breaking the pine board)

  • 이장원;이영신;최영진;이세훈;이현승
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1948-1953
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    • 2005
  • The Teakwondo is composed of the breaking, competition and poomsea. In the hand breaking, the breaking impact of human is affected by the breaking posture. In this paper, impact analysis of the human model for breaking posture is carried out. The LifeMOD is used in breaking modeling and simulation. The simulation model createsthe human model to hit and to grasp a pine board. For the breaking, the poomsea motion of the hand joint inputs the splines pass condition. As the results, the reaction of human joint is presented

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Optimal Rates of Convergence in Tensor Sobolev Space Regression

  • Koo, Ja-Yong
    • Journal of the Korean Statistical Society
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    • 제21권2호
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    • pp.153-166
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    • 1992
  • Consider an unknown regression function f of the response Y on a d-dimensional measurement variable X. It is assumed that f belongs to a tensor Sobolev space. Let T denote a differential operator. Let $\hat{T}_n$ denote an estimator of T(f) based on a random sample of size n from the distribution of (X, Y), and let $\Vert \hat{T}_n - T(f) \Vert_2$ be the usual $L_2$ norm of the restriction of $\hat{T}_n - T(f)$ to a subset of $R^d$. Under appropriate regularity conditions, the optimal rate of convergence for $\Vert \hat{T}_n - T(f) \Vert_2$ is discussed.

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프레팅 마멸계수 및 마찰계수 측정에 관한 연구 (Measurement of Wear and Friction Coefficients for the Prediction of Fretting Wear)

  • 조용주;김태완
    • Tribology and Lubricants
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    • 제28권3호
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    • pp.124-129
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    • 2012
  • The prediction of fretting wear is a significant issue for the design of contacting mechanical components such as flexible couplings and splines, jointed structures and so on. In our earlier study, we developed a numerical model to predict the fretting wear using boundary element method. The developed algorithm needs experimental fretting wear coefficients and friction coefficients between two moving materials to get more reliable results. In this study, therefore, we demonstrated the measurement method of the fretting wear coefficients and friction coefficients using disk on plate tribometer with piazo actuator and gap sensor. For four different material combinations, the fretting wear coefficients and friction coefficients are acquired through the fretting wear experiment and the analysis of the measured values. Thess results are useful to predict the quantative fretting wear rate in the developed algorithm.

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

  • 이지은;윤승현;김명수
    • 한국컴퓨터그래픽스학회논문지
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    • 제11권3호
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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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