• Title/Summary/Keyword: B-spline Surface

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Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for an Oscillating Cylinder Advancing in the Free Surface

  • Hong, Do-Chun;Lee, Chang-Sup
    • Journal of Ship and Ocean Technology
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    • v.6 no.1
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    • pp.34-53
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    • 2002
  • Numerical solution of the forward-speed radiation problem for a half-immersed cylinder advancing in regular waves is presented by making use of the improved Green integral equation in the frequency domain. The B-spline higher order panel method is employed stance the potential and its derivative are unknown at the same time. The present numerical solution of the improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the Green integral equation using the forward-speed Kelvin-type Green function.

Reverse Engineering of Compound Surfaces on the Machine Tool using a Vision Probe (비전 프로브를 이용한 기상에서의 복합곡면의 역공학)

  • 김경진;윤길상;초명우;권혁동;서태일
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.287-292
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    • 2002
  • This paper presents a reverse engineering method for compound surfaces using vision system. A CNC machining center is used as a measuring station, which is equipped with slit beam generator and vision probe. Since obtained data using slit beam or laser scanner may have much data loss along the edge of compound surfaces, an algorithm is presented in this study to recover missing geometric data at such region. First, b-spline interpolation is applied to extract edge information of the surface, and as a next step, b-spline approximation is applied to recover the missing geometric data. Finally, b-spline skinning method is applied to regenerate the surface information. Appropriate simulation and experimental works are preformed to very the effectiveness of the proposed methods.

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A STUDY ON THE NURBS GRID GENERATION AND GRID CONTROL (NURBS를 이용한 격자생성 및 제어기법)

  • Yoon, Yong-Hyun
    • Journal of computational fluids engineering
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    • v.12 no.3
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    • pp.20-28
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    • 2007
  • A fast and robust method of grid generation to multiple functions has been developed for flow analysis in three dimensional space. It is based on the Non-Uniform Rational B-Spline(NURBS) of an approximation method. Many of NURBS intrinsic properties are introduced and much more easily understood. The grid generation method, details of numerical implementation. examples of application, and potential extensions of the current method are illustrated in this paper. The object of this study is to develop the surface grid generation and the grid cluster techniques capable of resolving complex flows with shock waves, expansion waves, shear layers. The knot insert method of Non-Uniform Rational B-Spline seems well worked. In addition, NURBS has been widely utilized to generate grids in the computational fluid dynamics community. Computational examples associated with practical configurations have shown the utilization of the algorithm.

Interpolation and Parametrization of Human Body Scan Data Using B-Spline Surface (B-Spline Surface를 이용한 인체 계측 데이터의 Interpolation과 Parametrization)

  • 설인환;강태진
    • Proceedings of the Korean Fiber Society Conference
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    • 2002.04a
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    • pp.235-238
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    • 2002
  • 3차원 어패럴 캐드 시스템은 의복 생산 공정의 자동화를 위해 꾸준히 연구되고 있다. 이러한 어패럴 캐드 시스템의 주요한 목표 중의 하나가 소량 주문 생산에의 대응이다. 그런데 인체의 형태는 매우 다양하므로 개개인의 인체 형태에 대응하는 적합한 의복 디자인을 위해서는 먼저 정확한 인체 형태의 정확한 계측이 필요하다. 인체 데이터의 3차원적인 제품들인 계측은 그동안 많은 연구가 이루어져 상업화된 제품도 다수 출시되었다. (중략)

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An interpolation method of b-spline surface for hull form design

  • Jung, Hyung-Bae
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.2 no.4
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    • pp.195-199
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    • 2010
  • This paper addresses the problem of B-spline surface interpolation of scattered points for a hull form design, which are not arbitrarily scattered, but can be arranged in a series of contours permitting variable number of points in the contours. A new approach that allows different parameter value for each point on the same contour has been adopted. The usefulness and quality of the interpolation has been demonstrated with some experimental results.

A Study on the Pit Excavation Volume Using Cubic B-Spline

  • Du-Yeoul Mun
    • Journal of Ocean Engineering and Technology
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    • v.16 no.4
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    • pp.19-24
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    • 2002
  • 항만공사같은 대규모의 매립공사에서 토공작업은 총공사비의 상당한 비중을 차지하므로 경제적인 시공을 위하여 절.성토량은 정확하게 계산되어야 한다. 따라서 본 연구는 주어진 3차원 표고데이터를 지나는 스플라인 곡면을 구하는 알고리즘을 제시함으로써 좀더 정확한 토공량 계산식의 결정을 목표로 한다. 스플라인에 대한 흥미로운 수학적 결과는 무척 많지만 본 연구에서는 스플라인 곡면을 기술하고 또, 그것을 이용하여 토공량 계산을 위한 알고리즘개발을 목표로 하기 때문에 알고리즘과 프로그래밍에 필요한 수학적 내용을 기술하며 그 수치적 계산결과는 Maple 프로그램을 이용하였다. 그리고 정확도를 비교하기 위하여 기존의 방법인 선형점고법, Chamber법, Chen과 Lin의 이론을 컴퓨터프로그램하여 본 연구에서 제시된 방법과 정확도를 비교, 분석한다. 아울러 각 이론식의 결과에 대한 보다 정확한 검사를 위하여 x, y 함수식을 이용한 실험지형을 인위적으로 만들었으며 그 때의 값을 기준값으로 하였다. 따라서 실험수치지형에 대한 기준값이 절대값에 가까우므로 각 토공량식들의 오차규명을 보다 명확하고 확실하게 비교할 수 있도록 하였다.

Hydrodynamic Hull Form Design Using an Optimization Technique

  • Park, Dong-Woo;Choi, Hee-Jong
    • International Journal of Ocean System Engineering
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    • v.3 no.1
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    • pp.1-9
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    • 2013
  • A design procedure for a ship with minimum resistance had been developed using a numerical optimization method called SQP (Sequential Quadratic Programming) combined with computational fluid dynamics (CFD) technique. The frictional resistance coefficient was estimated by the ITTC 1957 model-ship correlation line formula and the wave-making resistance coefficient was evaluated by the potential-flow panel method with the nonlinear free surface boundary conditions. The geometry of the hull surface was represented and modified by B-spline surface modeling technique during the optimization process. The Series 60 ($C_B$=0.60) hull was selected as a parent hull to obtain an optimized hull that produces minimum resistance. The models of the parent and optimized hull forms were tested at calm water condition in order to demonstrate the validity of the proposed methodolgy.

Shape Optimization of Shell Surfaces Based on Linkage Framework betweenGeometric Modeling and Finite Element Analysis (유한요소해석과 기하학적 모델링의 연동에 기초한 쉘 곡면의 형상 최적 설계)

  • Kim, Hyon-Cheol;Roh, Hee-Yuel;Cho, Maeng-Hyo
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1328-1333
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    • 2003
  • In the present study, an integrated framework of geometric modeling, analysis, and design optimization is proposed. Geometric modeling is based on B-spline surface representation. Geometrically-exact shell finite element is implemented in analysis module. Control points of the surface are selected as design variables for optimization, which can make the interaction easier between analysis and surface representation. Sequential linear programming(SLP) is adopted for the shape optimization of surfaces. For the computation of shape sensitivities, semi-analytical method is used. The developed integrated framework should serve as a powerful tool for the geometric modeling, analysis, and shape design of surfaces.

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A Method for Modifying a Surface Model with Nonuniform Scattered Constraint Points (불균일 이산 구속조건을 만족시키는 곡면 모델의 변형 방법)

  • Kim, S.H.;Song, S.J.
    • Korean Journal of Computational Design and Engineering
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    • v.12 no.1
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    • pp.58-73
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    • 2007
  • This paper described a method for the construction of a surface through a set of nonuniform scattered points. When the shift vectors of some points as constraints on the original surface are given, those of the other points should be computed to make the new surface. To keep up the look-see and smoothness with the original surfaces, the proper relationship should be formulated between the shifts of the constraint points and those of the other points. Vector fields for 3 dimensional shift of a point on the surface are made based in the constraint shifts. Vector fields for 3 dimensional shift of a point on the surface are made based on the constraint shifts. Multilevel B-spline approximation technique was used to construct the vector field. The technique uses coarse-to-fine hierarchy of control lattices. The developed method was applied to shoe sole design system especially for grading. Using this system, a shoe sole can be modified effectively.

Sketch-based Modification of the Cubic B-Splines for the Pen-input Displays (펜-입력 디스플레이에서의 큐빅 B-Spline의 스케치-기반 편집 방법 연구)

  • Kim, Dae-Hyun;Kim, Myoung-Jun
    • Journal of KIISE:Computer Systems and Theory
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    • v.33 no.4
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    • pp.205-215
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    • 2006
  • Pen-input displays, such as LCD tablets and tablet PCs, are already popular for its usability in CAD design, in particular. in concept design phase. We propose an intuitive B-Spline modification scheme that can be used for the CAD systems targeting for such devices. Differently from the control point based modification schemes for the B-splines, our scheme relates user pen marking to determining the final shape of the target curve and surface. This, eventually, reduces time for interacting with the shape parameters (i.e., by control points or direct manipulators), which has been regarded as an unavoidable routine tasks for design. To prove its usability, we made an experiments with selected subjects who have been working for industrial design.