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Medial-axis-based cartograms

机译：基于中轴的制图

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摘要

Cartographers and geographers were making cartograms for centuries before digital computers and displays became available. In data visualization, an area cartogram distorts a map by resizing its regions according to some external geography-related parameter, such as population or epidemiological data. Cartograms are difficult to draw by hand because it's difficult to simultaneously optimize shape and area error while preserving the original map's topology. Automated methods for drawing cartograms have therefore received considerable interest. A method for generating cartograms that combines iterative relocation of a map's vertices with medial-axis-based transformations retains the input map's topology.
机译：在数字计算机和显示器问世之前，制图师和地理学家制作制图已有数百年历史。在数据可视化中，区域制图通过根据某些外部地理相关参数（例如人口数据或流行病学数据）调整其区域大小来扭曲地图。手工绘制制图很困难，因为在保留原始地图拓扑的同时很难同时优化形状和面积误差。因此，绘制制图的自动化方法引起了极大的兴趣。一种生成地图的方法，该方法将地图顶点的迭代重定位与基于中轴的变换相结合，从而保留了输入地图的拓扑。

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