ZHANG Chenyang, YANG Junyan, WANG Xuanqing, SHAO Dian

Keywords： urban morphology; urban central district; cross-scale; multifractal; density

Abstract：

The morphology of urban district areas has developed into a comprehensive system without a characteristic scale over the long term. The multifractal method helps to reveal the complex density characteristics of morphology systems in terms of dimensionality and spectral shape. However, the multifractal method also faces challenges regarding its spatial mapping capabilities. From a cross-scale holistic perspective, this paper elucidates the key issues of urban morphology research corresponding to multifractal features. Using the architectural plan form of Nanjing old city area as an example, this paper develops measurement techniques grounded in the concepts of capacity, information, correlation, and spectral shape within the framework of generalized correlation dimension. Additionally, it employs matrix mapping analysis methods that integrate scale and statistical moments. The research results indicate that the architectural morphology of the Nanjing old city area exhibits an aggregated and flattened organizational structure, while the open space morphology presents a cross-scale fractured porous structure. At the macro scale, low-density areas exhibit structural dissipation characteristics, high-density areas exhibit strip-like aggregation characteristics, and transition areas exhibit marginal dispersion characteristics. This study expands the research tools of urban morphology and enhances the analytical capabilities of multifractal algorithms for specific spatial regions, helping to reveal the complexity of urban morphology in terms of scale and density.

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