Quantifying Three-Dimensional Street Network Orientation Entropy in Chongqing, China: Implications for Urban Spatial Order and Environmental Perception

Orientation entropy serves as a critical metric for assessing the directional disorder of urban street networks. However, conventional two-dimensional (2D) approaches neglect vertical variations, limiting their applicability in cities with complex terrains. This study proposes a three-dimensional (3...

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Main Authors: Hao Rao, Leyao Chen, Cui Liu
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Buildings
Subjects:
Online Access:https://www.mdpi.com/2075-5309/15/14/2460
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author Hao Rao
Leyao Chen
Cui Liu
author_facet Hao Rao
Leyao Chen
Cui Liu
author_sort Hao Rao
collection DOAJ
description Orientation entropy serves as a critical metric for assessing the directional disorder of urban street networks. However, conventional two-dimensional (2D) approaches neglect vertical variations, limiting their applicability in cities with complex terrains. This study proposes a three-dimensional (3D) orientation entropy framework by integrating elevation data, providing a more comprehensive assessment of urban spatial complexity. We developed a computational workflow combining ArcGIS 10.8 for spatial data extraction and Python 3.10.10 for entropy calculation. A case study in Chongqing, China, explores the relationship between 3D orientation entropy and residents’ perceptions of spatial disorder through a small-scale survey. Although no statistically significant correlation was observed, the findings suggest emerging patterns and underscore the necessity of multidimensional frameworks in evaluating urban spatial experience. This research contributes a novel metric to urban design assessment, particularly in topographically diverse environments, and offers a foundation for future empirical studies.
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series Buildings
spelling doaj-art-9fcabe448dca4fa49e61ba228adc25cf2025-08-20T02:45:34ZengMDPI AGBuildings2075-53092025-07-011514246010.3390/buildings15142460Quantifying Three-Dimensional Street Network Orientation Entropy in Chongqing, China: Implications for Urban Spatial Order and Environmental PerceptionHao Rao0Leyao Chen1Cui Liu2College of Civil Engineering and Architecture, Zhejiang University, 866 Yuhangtang Road, Hangzhou 310058, ChinaCollege of Civil Engineering and Architecture, Zhejiang University, 866 Yuhangtang Road, Hangzhou 310058, ChinaCollege of Civil Engineering and Architecture, Zhejiang University, 866 Yuhangtang Road, Hangzhou 310058, ChinaOrientation entropy serves as a critical metric for assessing the directional disorder of urban street networks. However, conventional two-dimensional (2D) approaches neglect vertical variations, limiting their applicability in cities with complex terrains. This study proposes a three-dimensional (3D) orientation entropy framework by integrating elevation data, providing a more comprehensive assessment of urban spatial complexity. We developed a computational workflow combining ArcGIS 10.8 for spatial data extraction and Python 3.10.10 for entropy calculation. A case study in Chongqing, China, explores the relationship between 3D orientation entropy and residents’ perceptions of spatial disorder through a small-scale survey. Although no statistically significant correlation was observed, the findings suggest emerging patterns and underscore the necessity of multidimensional frameworks in evaluating urban spatial experience. This research contributes a novel metric to urban design assessment, particularly in topographically diverse environments, and offers a foundation for future empirical studies.https://www.mdpi.com/2075-5309/15/14/2460three-dimensional orientation entropyurban spatial complexitystreet network analysisenvironmental perceptionurban design metrics
spellingShingle Hao Rao
Leyao Chen
Cui Liu
Quantifying Three-Dimensional Street Network Orientation Entropy in Chongqing, China: Implications for Urban Spatial Order and Environmental Perception
Buildings
three-dimensional orientation entropy
urban spatial complexity
street network analysis
environmental perception
urban design metrics
title Quantifying Three-Dimensional Street Network Orientation Entropy in Chongqing, China: Implications for Urban Spatial Order and Environmental Perception
title_full Quantifying Three-Dimensional Street Network Orientation Entropy in Chongqing, China: Implications for Urban Spatial Order and Environmental Perception
title_fullStr Quantifying Three-Dimensional Street Network Orientation Entropy in Chongqing, China: Implications for Urban Spatial Order and Environmental Perception
title_full_unstemmed Quantifying Three-Dimensional Street Network Orientation Entropy in Chongqing, China: Implications for Urban Spatial Order and Environmental Perception
title_short Quantifying Three-Dimensional Street Network Orientation Entropy in Chongqing, China: Implications for Urban Spatial Order and Environmental Perception
title_sort quantifying three dimensional street network orientation entropy in chongqing china implications for urban spatial order and environmental perception
topic three-dimensional orientation entropy
urban spatial complexity
street network analysis
environmental perception
urban design metrics
url https://www.mdpi.com/2075-5309/15/14/2460
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AT leyaochen quantifyingthreedimensionalstreetnetworkorientationentropyinchongqingchinaimplicationsforurbanspatialorderandenvironmentalperception
AT cuiliu quantifyingthreedimensionalstreetnetworkorientationentropyinchongqingchinaimplicationsforurbanspatialorderandenvironmentalperception