The morphing of geographical features by Fourier transformation.
The morphing of geographical features by Fourier transformation.
复制标题
傅里叶变换的地理特征变形
DOI：
10.1371/journal.pone.0191136
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发表时间：
2018
期刊：
影响因子：
3.7
通讯作者：
Cheng X
中科院分区：
文献类型：
--
作者：
Li J;Liu P;Yu W;Cheng X
提出了一种基于傅立叶变换的矢量地理数据变形模型。这个模型包括三个主要步骤。它们是矢量数据到傅里叶级数的转换、由大尺度和小尺度的两个傅里叶级数的组合生成中间函数以及组合函数到矢量数据的逆转换。通过镜像处理，该模型还可以用于线性特征的变形。实验结果表明，该方法对尺度变化敏感，可用于矢量地图要素的连续尺度变换。该模型的计算效率与形状边界的点数和傅立叶展开的截距n成线性关系。通过傅立叶变换变形的效果是合理的，算法的效率是可以接受的。
This paper presents a morphing model of vector geographical data based on Fourier transformation. This model involves three main steps. They are conversion from vector data to Fourier series, generation of intermediate function by combination of the two Fourier series concerning a large scale and a small scale, and reverse conversion from combination function to vector data. By mirror processing, the model can also be used for morphing of linear features. Experimental results show that this method is sensitive to scale variations and it can be used for vector map features’ continuous scale transformation. The efficiency of this model is linearly related to the point number of shape boundary and the interceptive value n of Fourier expansion. The effect of morphing by Fourier transformation is plausible and the efficiency of the algorithm is acceptable.