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基于空间散乱点的复杂曲面建模与可视化研究

Research on Complex Suface Modeling and Visualization Based on 3-D Scattered Points

【作者】 闫长青

【导师】 卢新明;

【作者基本信息】 山东科技大学 , 计算机软件与理论, 2005, 硕士

【摘要】 曲面重建技术在曲面测量造型与可视化等领域有着广泛的应用背景。基于散乱点集的曲面重建作为最具普遍性的曲面重建问题,无论在理论上还是在应用上都具有非常重要的意义。 本文首先对散乱点曲面重建的应用价值及解决曲面重建问题的几种相关技术,即三角剖分与曲面分割、科学计算可视化等重建技术等作了简要介绍。并提出了本文付诸研究并取得进展的若干问题。 然后介绍了曲面三角剖分、Delaunay三角剖分及约束三角剖分等曲面剖分技术,并分析了曲面重建的现状,对曲面重建技术做了简单分类,然后对一些国内外散乱点曲面重建的经典算法做了介绍,并进行了分析、归纳与对比。 再次讨论了散乱点曲面重建的关键,并在此基础上提出了基于聚类分析的散乱点曲面重建方法。对所用到的主成分分析技术、聚类分析技术、凸壳技术等做了详细的介绍,并在此基础上详细阐述了自己的算法,提出了一种新的边界缝合技术,较好的解决了散乱点曲面重建问题。 然后又介绍了OpenGL的功能、特点及鼠标跟踪球算法,并介绍了怎样利用OpenGL编程实现三维模型可视化,并实现三维模型的显示变换。最后给出了利用OpenGL实现的模型绘制效果图。 最后对本文的研究工作进行了总结,并对曲面重建领域的发展前景及下一步努力的方向进行了展望。

【Abstract】 The technique of surface reconstruction has extensive use in surface measuring modification, visualization, and such on fields. The technique of surface reconstruction from scattered points, for its universality, is very important both theoretically and practically.Firstly, a brief introduction is made about practical value of surface reconstruction of scattered points. And then three kinds of techniques including surface triangulation, surface subdivision and scientific visualization are reviewed. Finally, several problems are put forward about surface reconstruction, which have been studied carefully in this dissertation.Secondly, surface triangulation technique, which refers to triangulation of 2d points, Delaunay triangulation and constrained Delaunay triangulation, is introduced at first, and then present work about surface reconstruction is analyzed, and main classifications are made with surface reconstruction method. After that, several kinds of classical surface reconstruction methods are described, and analysis, generalization and comparison are made about them..Thirdly, the key factor of surface reconstruction is discussed, then the surface reconstruction method of scattered points based on clustering technique is put forward. And also relative techniques involved, such as primary component analysis technique and convex technique, are introduced. And based on this, our method of surface reconstruction is described in detail. Still a method of border connection is brought forward. Using our method surface reconstruction can be well finished.Fourthly, function and character of OpenGL are introduced, and also mouse trackball algorithm. Then we explained how to implement the 3d model visualization with OpenGL programming, and also transformation and display is made. Finally, resulted graphics using OpenGL are shown.Finally, we draw some conclusions of this dissertation and suggest the future work to do in related research fields.

  • 【分类号】TP391.41
  • 【被引频次】3
  • 【下载频次】339
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