Research Article
Two Sets of Simple Formulae to Estimating Fractal Dimension of Irregular Boundaries
Table 8
The adjusted boundary dimension of major cities in Beijing-Tianjin-Hebei region in 2000, 2005, and 2010 (based on the second set of formulae).
| | City | Adjusted boundary dimension in 2000 | Adjusted boundary dimension in 2005 | Adjusted boundary dimension in 2010 | | Triangle | Square | Hexagon | Circle | Hexagram | Triangle | Square | Hexagon | Circle | Hexagram | Triangle | Square | Hexagon | Circle | Hexagram |
| | Baoding | 1.2951 | 1.3215 | 1.3367 | 1.3474 | 1.2679 | 1.2817 | 1.3074 | 1.3223 | 1.3327 | 1.2553 | 1.2803 | 1.3059 | 1.3207 | 1.3311 | 1.2540 | | Beijing | 1.2211 | 1.2397 | 1.2503 | 1.2577 | 1.2018 | 1.2290 | 1.2471 | 1.2575 | 1.2647 | 1.2101 | 1.2351 | 1.2530 | 1.2632 | 1.2703 | 1.2164 | | Cangzhou | 1.2740 | 1.3016 | 1.3176 | 1.3288 | 1.2458 | 1.2772 | 1.3044 | 1.3202 | 1.3312 | 1.2494 | 1.2723 | 1.2994 | 1.3152 | 1.3262 | 1.2446 | | Chengde | 1.2977 | 1.3267 | 1.3435 | 1.3554 | 1.2680 | 1.3004 | 1.3295 | 1.3465 | 1.3584 | 1.2706 | 1.2952 | 1.3240 | 1.3408 | 1.3525 | 1.2658 | | Handan | 1.2623 | 1.2876 | 1.3022 | 1.3124 | 1.2363 | 1.2766 | 1.3021 | 1.3169 | 1.3273 | 1.2503 | 1.2766 | 1.3021 | 1.3169 | 1.3273 | 1.2503 | | Hengshui | 1.2546 | 1.2819 | 1.2978 | 1.3089 | 1.2268 | 1.2237 | 1.2500 | 1.2654 | 1.2762 | 1.1967 | 1.2267 | 1.2522 | 1.2669 | 1.2773 | 1.2006 | | Langfang | 1.2455 | 1.2721 | 1.2875 | 1.2984 | 1.2183 | 1.2435 | 1.2699 | 1.2852 | 1.2959 | 1.2165 | 1.2382 | 1.2643 | 1.2795 | 1.2901 | 1.2115 | | Qinhuangdao | 1.2740 | 1.3008 | 1.3163 | 1.3272 | 1.2466 | 1.2541 | 1.2793 | 1.2938 | 1.3040 | 1.2283 | 1.2325 | 1.2566 | 1.2706 | 1.2804 | 1.2076 | | Shijiazhuang | 1.2370 | 1.2595 | 1.2724 | 1.2815 | 1.2137 | 1.2422 | 1.2644 | 1.2772 | 1.2862 | 1.2192 | 1.2387 | 1.2605 | 1.2730 | 1.2818 | 1.2162 | | Tangshan | 1.2833 | 1.3085 | 1.3230 | 1.3332 | 1.2573 | 1.2821 | 1.3071 | 1.3215 | 1.3316 | 1.2564 | 1.2720 | 1.2962 | 1.3101 | 1.3199 | 1.2470 | | Tianjin | 1.2702 | 1.2913 | 1.3035 | 1.3119 | 1.2482 | 1.2489 | 1.2682 | 1.2792 | 1.2869 | 1.2287 | 1.2339 | 1.2524 | 1.2630 | 1.2703 | 1.2146 | | Xingtai | 1.2620 | 1.2882 | 1.3034 | 1.3141 | 1.2352 | 1.2568 | 1.2828 | 1.2978 | 1.3084 | 1.2302 | 1.2519 | 1.2776 | 1.2924 | 1.3029 | 1.2255 | | Zhangjiakou | 1.2408 | 1.2695 | 1.2863 | 1.2980 | 1.2117 | 1.2415 | 1.2701 | 1.2868 | 1.2985 | 1.2124 | 1.2318 | 1.2581 | 1.2734 | 1.2841 | 1.2049 | | Average | 1.2629 | 1.2884 | 1.3031 | 1.3135 | 1.2367 | 1.2583 | 1.2833 | 1.2977 | 1.3078 | 1.2326 | 1.2527 | 1.2771 | 1.2912 | 1.3011 | 1.2276 |
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