516 / 2019-02-28 18:02:32

A Quantitative Method of Urban Form: Spatial Frequency Analysis

urban form, quantitative method, spatial frequency, coordination of shape and quantity, fusion of shape and quantity

全体主题 > Spatial data collection, Analysis, and Visualization

Currently, the quantitative study of urban form mainly focuses on the perspective of spatiotemporal domain. In this paper, we propose a novel quantitative method for urban form based on the perspective of spatial frequency, and explain it in the order of principle, primitives, process and validation. We quantify the urban dot form by using the mathematical structure from space-time domain to frequency domain, and on this base the filtering operation is carried out to analyze it. Then the method is validated in the spatiotemporal domain. It can synergize and fuse the shape and quantity in the spatial morphological quantization, and further improve the descriptive ability of quantization representation of form. Three quantitative calculating formulas are developed to measure three dimensions of urban form: shape range, distribution density and center of point group, as illustrated by an example. The simulation results show that the effect of the spatial frequency domain quantification method of urban form can effectively supplement the quantitative results of general spatial and temporal perspectives. The quantitative process of urban morphology can be described by mathematical methods, highlighting the scientificity of spatial frequency domain as a quantitative benchmark. It is suitable for urban and rural planning application scenarios with higher requirements for shape and quantity coordination, and provides a specific scheme for heterogeneous fusion of different types of quantities.