• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1994년도 추계학술대회 논문집
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• pp.866-871
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• 1994

B-spline curves and surfaces are effective solutions for design and modelling of the freeform models. The control methods of these are using with control points, knot vectors and weight of NURBS. Using control point is easy and resonable for representation of general models. But the movement of control points bring out the reformation of original convex hull. The B-splines with nonuniform knot vector provide good result of the shape modification without convex hull reforming. B-splines are constructed with control points and basis functions. Nonuniform knot vectors effect on the basis functions. And the blending curves describe the prorities of knot vectors. Applying of these, users will forecast of the reformed curves after modifying controllabler primitives.

• 대한조선학회논문집
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• 제28권2호
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• pp.21-27
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• 1991

이 논문에서는 periodic 균일 knot vector 뿐만아니라 open 균일 knot vector를 사용하여 선체형상을 Bi-cubic B-spline곡면으로 수식화하는 방법을 보인다. B-spline곡면을 형성하기 위한 B-spline control vertex는 기본 함수의 pseudoinverse matrix를 사용하여 결정된다. 주어진 offset과 형성된 선체곡면을 비교한 결과 잘 일치하였다. 곡면의 순정을 검토하기 위하여 Gaussian곡률을 많은 작은 곡면조각에 대해 계산하여 흑백의 농도 차이를 이용하여 도시화하였다.

• 한국CDE학회논문집
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• 제3권2호
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• pp.103-112
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• 1998

In this paper insertion of numerous control points to be performed by using the Chebyshev polynomial root at the selection of knot vector. This method introduces a simple method of knot refinement and it is applied in a developed program. The Chebyshev roots exist densely in broth ends of the range and are proposed more effective knot refinement to modify a surface. Therefore, generated control points are relatively uniform in specified knot interval. In the surface generation, a local insertion of numerous control points are easily inserted by using the characteristic of Chebyshev polynomial roots at knot refinement. It is possible to create a complex surface with a single surface. The number of control point can be reduced by using the local insertion of control points in a required shape

• 한국마린엔지니어링학회:학술대회논문집
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• 한국마린엔지니어링학회 2001년도 춘계학술대회 논문집
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• pp.163-167
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• 2001

The paper introduce the basic concept for the variable graph description of blending functions in NURBS using some control method; the control points, knot vectors and weight points in 3D space.

• 한국CDE학회논문집
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• 제4권1호
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• pp.32-42
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• 1999

Approximate lofting or skinning is one of practical surface modeling techniques well used in CAD and reverse engineering applications. Presented in this paper is a method for approximately lofting a given set of curves wihin a specified tolereance. It is based on refitting input curves simultaneously on a common knot vector and interpolating them to get a resultant NURBS surface. A concept of reducing the number of interior knots of the common knot vector is well adopted to acquire more compact representation for the resultant surface. Energy minimization is newly introduced in curve refitting process to stabilize the solution of the fitting problem and get more fair curve. The proposed approximate lofting provides more smooth surface models and realizes more efficient data reduction expecially when the parameterization and compatibility of input curves are not good enough. The method has been successfully implemented in a new CAD/CAM product VX Vision? of Varimetrix Corporation.

• 한국전산유체공학회지
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• 제12권3호
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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.

• 한국의상디자인학회지
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• 제16권4호
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• pp.189-203
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• 2014

In this study, Creative motifs using face composition of Jogakbo and Knot Symbol were developed, and applied to traditional Baeja of Joseon Dynasty to develop design contents of traditional clothes. As for study method, 7 motifs of new formative image that integrates traditional beauty and contemporary sense were developed by applying Knot Symbols and face compositions of Jogakbo with the use of Adobe Illustrator CS6 and Adobe Photoshop CS6 vector graphic software. The motifs were designed in contemporary image in face compositions like rectangle pattern, triangle pattern, dual rectangle pattern, vertical and horizontal pattern, pinwheel pattern, gojunmun pattern and free pattern by involving various changes like repetition, rotation, reduction, expansion and decomposition and using the colors used in the Jogakbo. It is desired that through this study, traditional Baeja may develop to bear traditional and contemporary image so that our traditional clothes design may become global. Also it is anticipated that this study will contribute to development of culture products of Hanbok like Jeogori, pants and skirt that require change of design in the global era while maintaining traditional beauty to appeal to the emotions of world citizens.

• Architectural research
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• 제13권1호
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• pp.17-24
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• 2011

Isogeometric solution of Poisson equation is provided. NURBS (NonUniform B-spline Surface) is introduced to express both geometry of structure and unknown field of governing equation. The terms of stiffness matrix and load vector are consistently derived with very accurate geometric definition. The validity of the isogeometric formulation is demonstrated by using two numerical examples such as square plate and L-shape plate. From numerical results, the present solutions have a good agreement with analytical and finite element (FE) solutions with the use of a few cells in isogeometric analysis.

• 소성∙가공
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• 제12권2호
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• pp.142-150
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• 2003

To construct the extrusion die surface, a B-Spline surface scheme based on the cubic B-Spline curve interpolation method is proposed in the present work. The inlet and outlet profiles are described with B-Spline curves by using the centripetal method for uniform parameterization. The interior control points of surface are generated using the derivative characteristics of B-Spline curve. A complete B-Spline surface is constructed by using appropriate coordinate transformation and knot deletion. In the present study, a quantitative measure for the control of surface is suggested by introducing the tangential vector and inclination angles at the inlet and outlet sections. To verify the validity of the proposed method, automatic surface generation is carried out for the various types of extrusion die surface.

• 한국수산과학회지
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• 제32권1호
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• pp.98-104
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• 1999

제주도 서부 연안역인 한림 정치망어장의 해황특성을 규명하기 위해 1995년과 1996년에 실시한 정선, 정점조사의 수온, 염분자료, 시계열분석, 해수유동 상황 둥을 정리 분석한 결과를 요약하면 다음과 같다. 1. 한림 정치망어장은 하계에 수온, 염분의 일교차 (수온 $0.4\~9^{\circ}C$, 염분 $0.20\~7.50\%_{\circ}$)가 매우 크고 단기적인 수온, 염분변화가 심하다. 즉 이 어장은 외측의 중$\cdot$저층수 (저온, 고염분수)와 연안 수 (고온, 저염분수)가 조류 방향에 따라 교호로 출현하고, 조류의 강약이나 바람 등에 의한 연직혼합의 정도에 따라 수온, 염분변화의 크기에 차가 나기 때문이라고 해석된다. 2. 한림 정치망에서 실시한 22일 (1996년 8월 19일$\~$9월 10일)간의 mooring 결과에 의하면 소조기의 썰물과 밀물의 평균유속과 유향은 각각 9.1cm/sec의 남서류, 11.6cm/sec의 북 또는 북동류이며 최강유속은 썰물 때 157cm/sec, 밀물 때 22.6cm/sec 이다. 대조기의 썰물과 밀물의 평균유속과 유향은 각각 10.4cm/sec의 남서류, 12.3cm/sec 북 또는 북동류이며 최강유속은 썰물 때 19.4cm/sec, 밀물 때 20cm/sec로 대조기와 소조기의 유속차가 크지 않고 밀물의 유속이 썰물의 유속보다 약간 빠르다. 반일주조 ($M_2$)의 장축방향의 유속벡터가 일주조. ($K_1$)의 그것에 비해 1.5정도 크며 두성분의 장축방향은 서북서$\~$동남동이고 북서방향으로 3.25cm/sec의 항류성분이 나타났다. 비양도와 차귀도 사이의 제주도 서부 연안역에서 3일간 (1996년 7월 25일$\~$27일)실시한 TGPS Buoy 추적결과에 지하면 연안역의 평균유속과 유향은 썰물 때 1.6 knot의 남서류, 순간 최대 유속은 4.8 knot 밀물 때 1.3 knot의 북동류, 순간최대유속은 3.7 knot였으며 외해측 (연안에서 2mile정도)의 밀물 때 평균유속과 유향은 1.7 knot의 북서 내지 북동류였고 0.3 knot 정도의 북동방향의 항류가 나타났다.