引用本文: 张珣, 钟耳顺, 张小虎, 王少华, 李绍俊. 一种尺度效应指数修正的格网数据示意地图制图算法[J]. 武汉大学学报 ( 信息科学版), 2015, 40(8): 1100-1104.
ZHANG Xun, ZHONG Ershun, ZHANG Xiaohu, WANG Shaohua, LI Shaojun. A Modified Algorithm to Construct Gridded Area Cartogramsby Scale Effect Index[J]. Geomatics and Information Science of Wuhan University, 2015, 40(8): 1100-1104.
 Citation: ZHANG Xun, ZHONG Ershun, ZHANG Xiaohu, WANG Shaohua, LI Shaojun. A Modified Algorithm to Construct Gridded Area Cartogramsby Scale Effect Index[J]. Geomatics and Information Science of Wuhan University, 2015, 40(8): 1100-1104.

## A Modified Algorithm to Construct Gridded Area Cartogramsby Scale Effect Index

• 摘要: 示意地图是统计数据可视化的一种新方法,但已有的面域示意地图制图算法不适用于局部数据差别大的应用。针对此问题,结合多尺度格网统计数据的尺度效应,修正了diffusionbasedmethod算法,并将该算法应用于北京市100m格网人口统计数据上,证明了算法的有效性。该算法可应用于格网统计数据示意地图制图。

Abstract: Cartograms is a new approach for statistical data visualization.However,drastic diversity oflocal data leads to failures when we apply existing cartogram-making algorithms on grid statistic datawithin urban scale.To address this problem,we design an index for measuring the scale effect of gridstatistic data.The scale effect index well describes the restriction effect and representation effect of1104武汉大学学报·信息科学版2015年8月 multi-scale grid data.Moreover,based on the scale effect index,we modify the diffusion-based meth-od developed by Gastner and Newman in 2004.The modified algorithm is not sensitive to local diversi-ties of grid statistic data,and area cartograms achieved by this algorithm well keep the density-equali-zing condition.We apply this algorithm in making gridded population cartograms from 100mgrid Bei-jing census data,and results show the reliability of the algorithm,which can be used for producing ar-ea cartograms of statistic data.

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