• Title/Summary/Keyword: Rational spline

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Study for Optimal Hull Form Design of a High Speed Ro-Pax Ship on Wave-making Resistance Performance (고속 Ro-Pax선형의 조파저항성능 향상을 위한 최적 선형설계에 관한 연구)

  • Park, Dong-Woo;Choi, Hee-Jong
    • Journal of Navigation and Port Research
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    • v.36 no.10
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    • pp.787-793
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    • 2012
  • A hull form design technique to enhance the wave-making resistance performance for a medium size high speed Ro-Pax ship was studied introducing an optimization method and an automatic hull form modification method. SQP(sequential quadratic programming) was applied as the optimization algorithm and the geometry of hull surface was represented and modified using the NURBS(Non-Uniform Rational B-Spline). The wave-making resistance performance as an objective function in the optimization procedure was evaluated using the Rankine source panel method in which nonlinearity of the free surface boundary conditions and the trim and sinkage of the ship was fully taken into account. Using the Ro-Pax ship as a base hull, the hull-form optimization method was applied to obtain the hull shape that produced the lower wave-making resistance. To verify the validity of the hull-form optimization method, the numerical results was compared with the model test results.

CONSTRAINED INTERPOLATION USING RATONAL CUBIC SPLINE WITH LINEAR DENOMINATORS

  • Duan, Qi;Xu, Gongxue;Liu, Aikui;Wang, Xuefu;Cheng, Fuhua
    • Journal of applied mathematics & informatics
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    • v.6 no.1
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    • pp.203-216
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    • 1999
  • In this paper a rational cubic interpolant spline with linear denominator has been constructed and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally the approximation properties have been studied.

Reduction of Blocking Effect using a Rational Open Uniform B-Spline Curve (유리 개방형 균일 B 스플라인 곡선을 이용한 블록 효과 감소)

  • 김희정;김지홍
    • Journal of Korea Multimedia Society
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    • v.5 no.4
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    • pp.386-392
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    • 2002
  • In this paper, we propose a novel blocking effect reduction method based on a rational B-spline. The blocking effect results from independent coding of each image block and becomes highly visible especially coded at very low bit rates. The proposed approach adopts a rational open uniform B-spline curve that used to produce a smooth curve through a set of control points. The pixels on the block boundary are treated as control points, and the weight values, which decide the shape of curve, are determined differentially by considering the distance the position of the pixels and that of the block boundary. The simulation results show that the proposed method has excellent performance for all pattern of the blocking effect with less computational complexity.

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A Study of Hull Form Generation for Chine Type of Fishing Vessel Using NURBS Method (NURBS 기법을 이용한 Chine Type 어선의 선형생성에 관한 연구)

  • 박제웅;조민철
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2001.10a
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    • pp.40-44
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    • 2001
  • 선형개발에 대한 연구는 주로 대형선박을 기준으로 Bezier, B-spline 그리고 NURBS와 같은 합성곡선생성기법을 이용하여 일반 곡선기법으로는 표현하기 힘든 구상선수나 굴곡이 심한 선미 등을 표현하고 검증하는 것으로 이루어지고 있다. 하지만, 전체 선박의 70%를 차지하고 있는 중소형 어선의 선형에 대한 연구나 기술적인 보고는 상대적으로 미흡한 실정이다. 본 연구에서는 기존의 라운드타입에서 챠인 및 신챠인타입으로 변화해 가는 중소형 어선의 선형을 NURBS기법을 이용하여 표현하고, 전산화하는 프로그램을 개발하였다.

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Circuit Design of a Blocking Effect Reduction Algorithm using B-Spline Curve (스플라인 곡선을 이용한 블록화 현상 감소 회로의 설계)

  • 박성모;김희정;최진호;김지홍
    • Journal of Korea Multimedia Society
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    • v.6 no.7
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    • pp.1169-1177
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    • 2003
  • The blocking effect results from independent coding of each image block and becomes highly visible, especially coded at very low bit rates. In this paper, a blocking effect reduction circuit is designed which is composed of a memory, arithmetic and logic unit, and control block. The circuit is based on a rational open uniform B-spline curve that uses to produce a smooth curve through a set of control points. The weight values and the modified pixel values in a rational open uniform B-spline curve are calculated using arithmetic and logic circuits. The simulation results show that the circuit has excellent performance for ail pattern of the blocking effects.

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Efficient Digitizing in Reverse Engineering By Sensor Fusion (역공학에서 센서융합에 의한 효율적인 데이터 획득)

  • Park, Young-Kun;Ko, Tae-Jo;Kim, Hrr-Sool
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.61-70
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    • 2001
  • This paper introduces a new digitization method with sensor fusion for shape measurement in reverse engineering. Digitization can be classified into contact and non-contact type according to the measurement devices. Important thing in digitization is speed and accuracy. The former is excellent in speed and the latter is good for accuracy. Sensor fusion in digitization intends to incorporate the merits of both types so that the system can be automatized. Firstly, non-contact sensor with vision system acquires coarse 3D point data rapidly. This process is needed to identify and loco]ice the object located at unknown position on the table. Secondly, accurate 3D point data can be automatically obtained using scanning probe based on the previously measured coarse 3D point data. In the research, a great number of measuring points of equi-distance were instructed along the line acquired by the vision system. Finally, the digitized 3D point data are approximated to the rational B-spline surface equation, and the free-formed surface information can be transferred to a commercial CAD/CAM system via IGES translation in order to machine the modeled geometric shape.

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A Study on the Generation of Ship Hull Lines Using NURBS Method (NURBS 기법을 이용한 선체선도 형성에 관한 연구)

  • 이동기
    • Journal of Ocean Engineering and Technology
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    • v.14 no.1
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    • pp.95-101
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    • 2000
  • In general, free form design depends on B-spline which is used for the generating hull lines in most of shipyards. But, nowadays, the NURBS method is applied to free form modeling method, which is able to more flexible transformation than B-Spline, and then became industrial standard in the various field. Therefore, this method has been considerably applied in new application fields which are required free form modelling. In this paper, the program called 2DSURF with 5 modules and developed for the generation of hull lines is described. It is examined whether the program can be applied to body lines, sheer lines, and half breadth lines.

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Shape Design Sensitivity Analysis Using Isogeometric Approach (등기하 해석법을 이용한 설계 민감도 해석)

  • Ha, Seung-Hyun;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.339-345
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    • 2007
  • In this paper, a variational formulation for plane elasticity problems is derived based on an isogeometric approach. The isogeometric analysis is an emerging methodology such that the basis functions for response analysis are generated directly from NURBS (Non-Uniform Rational B-Splines) geometry. Furthermore, the solution space for the response analysis can be represented in terms of the same functions to represent the geometry, which enables to provide a precise construction method of finite element model to exactly represent geometry using B-spline base functions in CAD geometric modeling and analyze arbitrarily shaped structures without re-meshing. In this paper, a continuum-based adjoint sensitivity analysis method using the isogeometric approach is extensively derived for the plane elasticity problems. The conventional shape optimization using the finite element method has some difficulties in the parameterization of geometry In the isogeometric analysis, however, the geometric properties are already embedded in the B-spline basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. Through some numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.

Study of the Shape Optimization in Spline FEM Considering both NURBS Control Point Positions and Weights as Design Variables (NURBS 제어점의 위치 및 가중치를 설계변수로 하는 스플라인 유한요소법 기반 형상최적설계 연구)

  • Song, Yeo-Ul;Hur, Jun Young;Youn, Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.4
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    • pp.363-370
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    • 2014
  • A new NURBS-based shape optimization method is proposed. Most shape optimization studies consider only control point positions as design variables. Some shape optimization processes present problems with mesh quality and convergence when control points are constrained to a limited space. If the weights of the control points are regarded as additional design variables, it should be possible to attain a better degree of shape control. In this study, positions and weights of NURBS control points are used as design variables, and a shape optimization algorithm incorporates position optimization and weight optimization steps. This method is applied to shape optimization benchmarking problems to verify its advantages.

A Study on the Techniques of Grid Control for Numerical Grid Generation (격자 조절기법에 관한 연구)

  • Yoon Yong Hyun
    • 한국전산유체공학회:학술대회논문집
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    • 2002.10a
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    • pp.84-87
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    • 2002
  • When computing the flow around complex three dimensional configurations, the generation of grid is the sunt time consuming part of any calculation. The object of this study is to develop the grid duster techniques capable of resolving complex flows with shock waves, expansion waves, shear layers, and cursive shapes, The Dot insert method of Non-Uniform Rational B-Splines is described as a id control method.

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