Research Article
Two Sets of Simple Formulae to Estimating Fractal Dimension of Irregular Boundaries
Table 9
The estimated form dimension of major cities in Beijing-Tianjin-Hebei region in 2000 and 2010 (based on the adjusted boundary dimension).
| | City | Form dimension in 2000 | Form dimension in 2005 | Form dimension in 2010 | | Triangle | Square | Hexagon | Circle | Hexagram | Triangle | Square | Hexagon | Circle | Hexagram | Triangle | Square | Hexagon | Circle | Hexagram |
| | Baoding | 1.7722 | 1.7567 | 1.7481 | 1.7422 | 1.7887 | 1.7802 | 1.7649 | 1.7563 | 1.7503 | 1.7967 | 1.7811 | 1.7658 | 1.7572 | 1.7513 | 1.7975 | | Beijing | 1.8189 | 1.8067 | 1.7998 | 1.7951 | 1.8321 | 1.8136 | 1.8018 | 1.7952 | 1.7907 | 1.8263 | 1.8097 | 1.7981 | 1.7916 | 1.7872 | 1.8221 | | Cangzhou | 1.7849 | 1.7683 | 1.7590 | 1.7525 | 1.8027 | 1.7829 | 1.7666 | 1.7575 | 1.7512 | 1.8004 | 1.7860 | 1.7696 | 1.7604 | 1.7540 | 1.8035 | | Chengde | 1.7706 | 1.7538 | 1.7443 | 1.7378 | 1.7886 | 1.7690 | 1.7521 | 1.7427 | 1.7362 | 1.7870 | 1.7721 | 1.7553 | 1.7458 | 1.7394 | 1.7900 | | Handan | 1.7922 | 1.7767 | 1.7679 | 1.7619 | 1.8089 | 1.7834 | 1.7680 | 1.7594 | 1.7534 | 1.7998 | 1.7834 | 1.7680 | 1.7594 | 1.7534 | 1.7998 | | Hengshui | 1.7970 | 1.7801 | 1.7705 | 1.7640 | 1.8152 | 1.8172 | 1.8000 | 1.7903 | 1.7836 | 1.8356 | 1.8152 | 1.7986 | 1.7893 | 1.7829 | 1.8329 | | Langfang | 1.8029 | 1.7861 | 1.7767 | 1.7702 | 1.8208 | 1.8042 | 1.7875 | 1.7781 | 1.7716 | 1.8220 | 1.8076 | 1.7909 | 1.7816 | 1.7751 | 1.8254 | | Qinhuangdao | 1.7849 | 1.7688 | 1.7597 | 1.7535 | 1.8022 | 1.7974 | 1.7817 | 1.7729 | 1.7669 | 1.8142 | 1.8114 | 1.7958 | 1.7870 | 1.7810 | 1.8281 | | Shijiazhuang | 1.8084 | 1.7940 | 1.7859 | 1.7803 | 1.8239 | 1.8050 | 1.7909 | 1.7830 | 1.7775 | 1.8202 | 1.8073 | 1.7933 | 1.7855 | 1.7802 | 1.8223 | | Tangshan | 1.7793 | 1.7643 | 1.7559 | 1.7501 | 1.7953 | 1.7800 | 1.7651 | 1.7567 | 1.7510 | 1.7959 | 1.7862 | 1.7715 | 1.7633 | 1.7576 | 1.8019 | | Tianjin | 1.7873 | 1.7744 | 1.7672 | 1.7622 | 1.8012 | 1.8007 | 1.7885 | 1.7817 | 1.7771 | 1.8139 | 1.8104 | 1.7985 | 1.7918 | 1.7872 | 1.8233 | | Xingtai | 1.7924 | 1.7762 | 1.7672 | 1.7610 | 1.8096 | 1.7957 | 1.7796 | 1.7705 | 1.7643 | 1.8129 | 1.7988 | 1.7827 | 1.7737 | 1.7675 | 1.8160 | | Zhangjiakou | 1.8059 | 1.7877 | 1.7775 | 1.7704 | 1.8253 | 1.8055 | 1.7873 | 1.7771 | 1.7701 | 1.8248 | 1.8118 | 1.7949 | 1.7853 | 1.7788 | 1.8299 | | Average | 1.7921 | 1.7764 | 1.7677 | 1.7616 | 1.8088 | 1.7950 | 1.7795 | 1.7709 | 1.7649 | 1.8115 | 1.7985 | 1.7833 | 1.7748 | 1.7689 | 1.8148 |
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