Li Jingzhong, Liu Pengcheng, Yu Wenhao, Cheng Xiaoqiang
School of Resource and Environmental Sciences, Wuhan University, Wuhan, Hubei, China.
College of Urban and Environmental Science, Central China Normal University, Wuhan, Hubei, China.
PLoS One. 2018 Jan 19;13(1):e0191136. doi: 10.1371/journal.pone.0191136. eCollection 2018.
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.
本文提出了一种基于傅里叶变换的矢量地理数据变形模型。该模型包括三个主要步骤。它们是从矢量数据到傅里叶级数的转换、通过组合关于大比例尺和小比例尺的两个傅里叶级数生成中间函数以及从组合函数到矢量数据的逆转换。通过镜像处理，该模型还可用于线性要素的变形。实验结果表明，该方法对比例尺变化敏感，可用于矢量地图要素的连续比例尺变换。该模型的效率与形状边界的点数和傅里叶展开的截取值n呈线性关系。傅里叶变换变形效果合理，算法效率可接受。
