Urban Growth Simulation by Using Fractals and the Diffusion Limited Aggregation Model-A Case Study of the Taipei City

以碎形幾何與限制分布模式模擬都市型態成長之探討－以台北市為例

10.6377/JA.200301.0061

邱茂林(Mao-Lin Chiu)；詹振維(Chen-Wei Chan)

都市型態研究 ； 碎形幾何 ； 電腦模擬 ； 限制分佈模式 ； Urban Morphology ； Fractal geometry ； Computer Simulation ； Diffusion-limited aggregation

建築學報

42期（2003 / 01 / 01）

61 - 77

英文

本研究乃應用碎形幾何與限制分佈模式以模擬都市型態成長。首先，回顧碎形幾何、林氏系統、限制分佈模式與都市型態模式。其次，應用Java語言建立一個網路環境之電腦模擬都市型態系統Fractal-US。本研究並以台北市為例，分析與模擬1895-2000年間之成長過程來檢驗碎形幾何相關的模擬課題。本研究發現都市型態成長過程可以碎形幾何理論與限制分布模式藉由電腦輔助模擬，但是必須同時考慮都市型態之模擬條件、表示法、與詮釋其結果。

This paper attempts to use fractal geometry and the diffusion-limited aggregation (DLA) model for urban growth simulation. Fractal geometry, L-system, the DLA model, and related urban growth theories are examined. Then an urban simulation system, Fractal-US, is built on the web by JavaScript for studying urban forms based on fractal geometry and L-system. The city of Taipei is simulated in the period of 1895-2000 to visualize urban growth patterns. The study indicates that computer visual simulation can better illustrate the evolution of urban formation, and consequently understand and discuss the process or impacts in certain areas. Three issues are considered important in the study: (1) factors selection in simulation of the urban form, (2) representation of the urban growth patterns, and (3) interpretation of the simulation result.

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