• Title/Summary/Keyword: B-spline surface

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A Study on the Representation of Ship Hull Forms Using NURBS Surface - The Development of a Free Form Cutting Machine ; Part I - (NURBS 곡면을 이용한 선형표현에 관한 연구 - 자유곡면 가공기계 개발(I) -)

  • H. Shin;K.W. Park;H.G. Park;I.H. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.2
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    • pp.109-117
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    • 2000
  • In order to develope ship hull forms. many various models are represented numerically in terms of B-spline surfaces and tested experimentally in the towing tank. It is very difficult to make various ship hulls with free forms in handiwork. As the first step of development of a free form cutting machine which becomes a good substitute for high-priced model cutting machines, free forms representation for model cutting are developed. In this paper, NURBUS surfaces are represented on the assumption that data points may be control points contrary to existing methods.

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Electric Field Optimization using the NURB curve in a Gas-Insulated Switchgear (NURB 곡선을 이용한 가스절연 원통형 관로 내에서의 전계 최적화)

  • Han, In-Su;Kim, Eung-Sik;Min, Suk-Won;Lee, June-Ho;Park, Jong-Keun;Lee, Tae-Hyung;Park, Choon-Soo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.3
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    • pp.548-558
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    • 2009
  • This paper attempts to develop an algorithm which optimizes the electric field through the so-called NURB(Non-Uniform Rational B-spline) curve in order to improve the insulation capacity. In particular, the NURB curve is a kind of interpolation curve that can be expressed by a few variables. The electric field of a conductor is computed by Charge Simulation Method(CSM) while that of a spacer by Surface Charge Method(SCM); this mixed calculation method is adopted for the electric field optimization. For calculation of the initial and optimal shapes, the Gauss-Newton method, which is quite easy to formulate and has slightly faster convergence rate than other optimization techniques, was used. The tangential electric field, the total electric field, and the product of the tangential electric field and area (Area Effect) were chosen as the optimization objective function by the average value of electric field for the determined initial shape.

Development of a Ship Calculation Program Based On the Geometric Model (형상모델 기반 선박계산 전산프로그램 개발)

  • Sang-Su Park;Kyu-Yeul Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.2
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    • pp.121-134
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    • 1999
  • In this paper, a ship calculation program is developed, which prof[nuts hydrostatics and volume calculation intact and damage stability and hull variation. Hull form and compartment geometry are expressed with NURBS curve wire-frame model. Hydrostatics and volume calculation are performed directly with the intersection method between section geometry and 3D planar surface. Equilibrium ship position is calculated with hydrostatic equilibrium equation which is linearized by 1st order Taylor series expansion sequentially. The developed program shows more accurate results and easy uses than the latter.

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Construction of NURBS Model for Preliminary High-Speed Monohull Design Based on Parametric Approach (파라메트릭 기법을 고속 단동선의 NURBS 모델링)

  • Nam Jong-Ho
    • Journal of Ocean Engineering and Technology
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    • v.20 no.3 s.70
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    • pp.82-87
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    • 2006
  • An approach to model a high-speed monohull vessel is introduced. The high-speed monohull form belonging to the category of multihull is drawing new attention, due to the rapidly growing trend of fast passenger ships and military purpose. Multihull forms are much thinner in their overall shape, compared to those of the conventional commercial vessels. Moreover, the parent hull forms are not readily obtainable when a new design is intended, which makes it hard to perform various technical calculations in terms of hull optimization, hydrodynamic computation, structural design, and so forth. In this paper, a parametric technique is used to design a high-speed hull form. To model a hull form, NURBS (Non Uniform Rational B-Spline) representation is used. The goal of research is to provide a fast and convenient tool to design an initial hull form with fewer parameters available in the early design stage. The technique employed in this paper will be applied to the design of multihull forms, such as catamaran, trimaran, and semi-swath.

Digital Restoration of Ring-Pommeled Sword by Using Technology of 3D Shape Information Processing (3차원 형상정보 처리기술을 이용한 환두대도의 디지털 원형복원)

  • Kim Young-Won;Jun Byung-Hwan
    • The Journal of the Korea Contents Association
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    • v.5 no.4
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    • pp.133-140
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    • 2005
  • Culture Technology is the basic technology which produces cultural contents in a narrow sense. All nations do their best in order to create new contents which can form international and cultural sympathy. If a variety of contents are created by applying Korean proper cultural heritages, they will be creative and competitive internationally. Therefore, technology of original cultural restoration is an essential and crucial skill. In this paper, 'gilt bronze dragon-phoenix ring-pommeled sword', a cultural heritage of baekje age, will be restored to the original form digitally on the basis of three-dimensional shape-information processing technology and the scientifically analyzed data. First of all, data from three-dimensional scanning is revised using stuffing and smoothing methods after sampling, extracting characteristics, and align. Then, they are modeled in a curved surface with NURBS and B-Spline. Secondly, textures are edited by estimating the color of components and the quality of materials, and then they are mapped. Original form model which was made was revised and corrected by specialists' examinations. The digitally revised ring-pommeled sword was combined with information technology, and it can be used to revise damaged cultural heritages by constructing formal database of ring-pommeled sword with regard to age, area and type. It can be also used as educational contents in archaeology or preservation science and cultural contents such as movies, broadcasts, games, animations and so on.

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A Numerical Solution Method of the Boundary Integral Equation -Axisymmetric Flow- (경계적분방정식의 수치해법 -축대칭 유동-)

  • Chang-Gu,Kang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.3
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    • pp.38-46
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    • 1990
  • A numerical solution method of the boundary integral equation for axisymmetric potential flows is presented. Those are represented by ring source and ring vorticity distribution. Strengths of ring source and ring vorticity are approximated by linear functions of a parameter $\zeta$ on a segment. The geometry of the body is represented by a cubic B-spline. Limiting integral expressions as the field point tends to the surface having ring source and ring vorticity distribution are derived upto the order of ${\zeta}ln{\zeta}$. In numerical calculations, the principal value integrals over the adjacent segments cancel each other exactly. Thus the singular part proportional to $\(\frac{1}{\zeta}\)$ can be subtracted off in the calculation of the induced velocity by singularities. And the terms proportional to $ln{\zeta}$ and ${\zeta}ln{\zeta}$ can be integrated analytically. Thus those are subtracted off in the numerical calculations and the numerical value obtained from the analytic integrations for $ln{\zeta}$ and ${\zeta}ln{\zeta}$ are added to the induced velocity. The four point Gaussian Quadrature formula was used to evaluate the higher order terms than ${\zeta}ln{\zeta}$ in the integration over the adjacent segments to the field points and the integral over the segments off the field points. The root mean square errors, $E_2$, are examined as a function of the number of nodes to determine convergence rates. The convergence rate of this method approaches 2.

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Evaluation of Dose Change by Using the Deformable Image Registration (DIR) on the Intensity Modulated Radiation Therapy (IMRT) with Glottis Cancer (성문암 세기조절 방사선치료에서 변형영상정합을 이용한 선량변화 평가)

  • Kim, Woo Chul;Min, Chul Kee;Lee, Suk;Choi, Sang Hyoun;Cho, Kwang Hwan;Jung, Jae Hong;Kim, Eun Seog;Yeo, Seung-Gu;Kwon, Soo-Il;Lee, Kil-Dong
    • Progress in Medical Physics
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    • v.25 no.3
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    • pp.167-175
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    • 2014
  • The purpose of this study is to evaluate the variation of the dose which is delivered to the patients with glottis cancer under IMRT (intensity modulated radiation therapy) by using the 3D registration with CBCT (cone beam CT) images and the DIR (deformable image registration) techniques. The CBCT images which were obtained at a one-week interval were reconstructed by using B-spline algorithm in DIR system, and doses were recalculated based on the newly obtained CBCT images. The dose distributions to the tumor and the critical organs were compared with reference. For the change of volume depending on weight at 3 to 5 weeks, there was increased of 1.38~2.04 kg on average. For the body surface depending on weight, there was decreased of 2.1 mm. The dose with transmitted to the carotid since three weeks was increased compared be more than 8.76% planned, and the thyroid gland was decreased to 26.4%. For the physical evaluation factors of the tumor, PITV, TCI, rDHI, mDHI, and CN were decreased to 4.32%, 5.78%, 44.54%, 12.32%, and 7.11%, respectively. Moreover, $D_{max}$, $D_{mean}$, $V_{67.50}$, and $D_{95}$ for PTV were increased or decreased to 2.99%, 1.52%, 5.78%, and 11.94%, respectively. Although there was no change of volume depending on weight, the change of body types occurred, and IMRT with the narrow composure margin sensitively responded to such a changing. For the glottis IMRT, the patient's weight changes should be observed and recorded to evaluate the actual dose distribution by using the DIR techniques, and more the adaptive treatment planning during the treatment course is needed to deliver the accurate dose to the patients.

A Study on the Precise Lineament Recovery of Alluvial Deposits Using Satellite Imagery and GIS

  • 이수진;황종선;이동천;김정우;석동우
    • Proceedings of the Korean Association of Geographic Inforamtion Studies Conference
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    • 2003.04a
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    • pp.62-62
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    • 2003
  • Landsat TM 영상을 이용, 명암차가 높은 산악 지역에 적용해왔던 알고리즘을 개선하여 비교적 명암차가 낮고 넓게 분포하는 충적층 지역의 선구조를 추출하는 알고리즘을 개발하였다. 수치지형모델(OEM)에 대하여 Local Enhancement 를 이용해서 평탄한 지역을 선정하여 이로부터 충적층을 추출하였다. Zevenbergen & Thorno's Method를 3×3 moving windowing을 통해서 최대 경사방향과 경사를 구해서 충적층을 지나는 선구조 요소를 추출하고 다시 Hough 변환을 이용해서 1차 선구조를 추출하였다 이를 이용하여 충적층의 직각방향의 지형단면의 경사를 유추해서 spline 보간법을 이용해 단면의 최저점을 구하고 이 구해진 점들을 다시 Hough 변환을 이용해서 최종 선구조를 추출하였다. 본 연구에서 사용한 알고리즘은 기존 알고리즘에서 사용된 소창문보다 훨씬 큰 충적층이 분포하는 지역의 지형 경사가 수렴하는 부분에 선구조가 뚜렷이 나타남을 볼 수 있다. 최대경사방향과 경사를 구해서 얻어진 1 차선구조와 최종 선구조에서 선구조 방향이 다소 차이를 보인다. 1 차 선구조의 수직방향 지형단면의 자료를 이용함에 있어, 지형 단면의 시작정과 끝지점을 임의적으로 결정하는 것이 아니라, 충적층을 가로질러 최고점까지 또는 다음 충적층이 나을 때까지의 자료를 이용해서 보간법을 사용하였고, 충적층의 넓이에 따라 보간할 자료량의 차이에 의한 오차가 발생할 수 있다. 넓은 충적층에서 선구조가 잘 추출되는 반면에 좁은 충적층이 분포하거나 계곡에 해당하는 지역에l서는 경사수렴부와 일치하지 않는 선구조가 추출되었다. 이는 향후 계속적으로 연구해서 보완되어야 할 것으로 사료된다.페클 잡영 제거 정도에 있어 다른 필터들과 큰 차이가 없지만 경계선보존지수는 다른 필터들에 비하여 가장 우수함을 확인할 수 있었다.rbon 탐식효율을 조사한 결과 B, D 및 E 분획에서 유의적인 효과를 나타내었다. 이상의 결과를 종합해볼 때, ${\beta}$-glucan은 고용량일 때 직접적으로 또는 $IFN-{\gamma}$ 존재시에는 저용량에서도 복강 큰 포식세로를 활성화시킬 뿐 아니라, 탐식효율도 높임으로써 면역기능을 증진 시키는 것으로 나타났고, 그 효과는 crude ${\beta}$-glucan의 추출조건에 따라 달라지는 것을 알 수 있었다.eveloped. Design concepts and control methods of a new crane will be introduced in this paper.and momentum balance was applied to the fluid field of bundle. while the movement of′ individual material was taken into account. The constitutive model relating the surface force and the deformation of bundle was introduced by considering a representative prodedure that stands for the bundle movement. Then a fundamental equations system could be simplified considering a steady state of the process. On the basi

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