基于NURBS的三维船体曲面重构

史国友; 贾传荧

基于NURBS的三维船体曲面重构

史国友^1,,
贾传荧¹

1.
大连海事大学航海学院, 辽宁大连 116026
2.
大连海事大学航海动态仿真和控制实验室, 辽宁大连 116026

详细信息

作者简介:
史国友(1969-), 男, 安徽桐城人, 大连海事大学博士研究生, 从事交通信息工程与控制研究

中图分类号: U661.32
计量
- 文章访问数: 245
- HTML全文浏览量: 64
- PDF下载量: 225
- 被引次数: 0
出版历程
- 收稿日期: 2004-02-09
- 刊出日期: 2004-09-25

Reconstruction of 3-D ship hull surface based on NURBS

SHI Guo-you^1
,,
JIA Chuan-ying¹

1.
School of Navigation, Dalian Maritime University, Dalian 116026, China
2.
Laboratory of Simulation and Control of Navigation System, Dalian Maritime University, Dalian 116026, China

More Information

Author Bio:
SHI Guo-you(1969-), male, doctoral student, 86-411-84727953, shiguoyou@tom.com

摘要

摘要: 针对重大件货仿真系统中船体曲面造型问题, 给出了基于NURBS (非均匀有理B样条方法) 技术重构船体曲面的主要步骤。对于给定的船舶型值点, 用累加弦长参数化方法构造节点矢量, 用非均匀有理B样条方法进行横剖线和水线的全局插值, 并构造出规整的船体曲面的插值点网格, 进而重构出以NURBS为统一数学表达式的船体曲面。仿真结果表明应用NURBS方法重构出的三维船体具有高度真实感。
- 曲面重构 /
- 曲面插值 /
- 重大件货 /
- 非均匀有理B样条方法
Abstract: In allusion to the ship hull surface modelling in simulation system of loading and unloading awkward length cargo, this paper provided the main steps of reconstructing ship hull surface by NURBS (non-uniform rational B-spline). According to the points in offset table, the knot vector was calculated with an accumulative chord length parameterization, the global interpolative crosscut lines and waterlines were available with NURBS technology, and the regulative interpolative grid of ship surface was made, thus the ship surface presented with NURBS was reconstructed. The simulation results show that the 3-D ship hull surface reconstructed by NURBS is highly real, this method is feasible.
- hull surface reconstruction /
- surface interpolation /
- heavy and awkward article /
- NURBS

HTML全文

图 1 B样条基函数

Figure 1. B-spline basis function

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图 2 NURBS曲线

Figure 2. NURBS curves

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图 3 用NURBS方法重构的三维船体曲面

Figure 3. 3-D ship surface reconstructed by NURBS

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参考文献(12)

[1]	朱心雄. 自由曲线曲面造型技术[M]. 北京: 科学出版社, 2000.
[2]	Celniker G, Gossard D. Deformable curves and surfaces finite-element for free-form shape design[J]. ACM Computer Graphics, 1991, 25 (4): 257—266.
[3]	Dan N. An united automated approach to surface approximation via finite element and non-uniform rational B-spline method[D]. California: Claremont and Long Beach University, 2002.
[4]	Bloor M I G, WilsonMJ. Geometric design of hull forms using partial differential equationas[A]. CFD and CAD in Ship Design[C]. Amsterdam, Elsevier, 1990.
[5]	Welch W W. Variational surface modelling[J]. ACM Computer Graphics, 1992, 26(2): 157—166.
[6]	施法中. 计算机辅助几何设计与非均匀有理B样条[M]. 北京: 北京航空航天大学出版社, 1994.
[7]	Les P, Wayne T. The NURBS Book(Second Edition)[M]. Springer Press, 1997.
[8]	DeBoor C. On calculating with B-spline[J]. Journal of Approximation Theory, 1972, 6(1): 50—62. doi: 10.1016/0021-9045(72)90080-9
[9]	Piegl L. On NURBS: a survey[J]. IEEE Computer Graphics and Applications, 1991, 11(1): 55—57.
[10]	Farin G. Curves and Surfaces for Computer Aided Geometric Design (The Fourth Edition)[M]. Academic Press, 1996.
[11]	孙家广, 杨长贵. 计算机图形学[M]. 北京: 清华大学出版社, 1995.
[12]	王兴波, 李圣怡. 自动计算NURBS初始权因子的方法[J]. 航空学报, 2001, 22 (2): 184—186. doi: 10.3321/j.issn:1000-6893.2001.02.022 WANG Xing-bo, LI Sheng-yi. Automatic calculation of initial weights for NURBS[J]. Acta Aeronautica et Astronautica Sinica, 2001, 22(2): 184— 186. (in Chinese) doi: 10.3321/j.issn:1000-6893.2001.02.022