测绘学报 ›› 2014, Vol. 43 ›› Issue (6): 637-652.

• 学术论文 • 上一篇    下一篇

更充分利用独立弯曲结构的线状要素Morphing变换方法

彭东亮1,邓敏1,刘慧敏2   

  1. 1. 中南大学
    2. 中南大学地球科学与信息物理学院
  • 收稿日期:2013-01-15 修回日期:2014-03-10 出版日期:2014-06-25 发布日期:2014-06-25
  • 通讯作者: 邓敏 E-mail:dengmin028@yahoo.com
  • 基金资助:

    国家自然科学基金项目;教育部新世纪优秀人才支持计划项目

Morphing Transformation of Linear Features by Using Independent Bend Structures More Sufficiently

  • Received:2013-01-15 Revised:2014-03-10 Online:2014-06-25 Published:2014-06-25

摘要:

本文提出了充分利用独立弯曲结构的线状要素Morphing变换方法。该方法首先对不同比例尺表达的对应线状要素分别构建约束Delaunay三角网并建立弯曲森林,然后进行弯曲匹配以获得对应弯曲。鉴于对应弯曲“背面”的独立弯曲结构隐藏于更高层次的大弯曲中,对对应弯曲重新构建约束Delaunay三角网进而建立其“背面”的弯曲森林并进行弯曲匹配得到新的对应弯曲,依此递归充分挖掘对应弯曲结构。在此基础上,将所有对应弯曲的对应始点和对应终点都作为断点切割原线状要素,获得对应线段。最后,采用线性插值算法建立各对应线段之间的对应点关系并以对应点间的直线作为移位路径进行Morphing变换。通过实例分析,验证了本文充分利用独立弯曲结构的方法能够提高对应弯曲特征点的识别能力,从而能够更好地保持弯曲特征点并改善Morphing变换效果。

关键词: Morphing, 形状内插, 弯曲, 线状要素, 制图综合

Abstract:

This paper proposes a morphing approach for linear features by sufficiently considering their independent bend structures. First, the bend structures of the linear features are identified based on a constrained Delaunay triangulation (CDT) model, and represented by bend forest. Second, corresponding bends are determined by bend matching. One can find that some independent bend structures are hided in the higher-level bends. Therefore, the CDT model is iteratively used for corresponding bends and new bend forests of the back-side are built, so that bend matching is iteratively utilized to detect new corresponding bends. After bend matching, the starts and ends of corresponding bends are used to split the linear features so that corresponding segments are obtained. In succession, linear interpolation algorithm is utilized to detect corresponding points and straight-line trajectories are used for morphing. Finally, the experiments are implemented. The results show that the approach proposed in this paper can improve the ability to detect the characteristic points of corresponding bends and to maintain these characteristic points in the morphing process. As a result, this approach can produce better morphing results.

Key words: Morphing, shape interpolation, bends, linear features, cartographic generalization

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