{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T17:05:50Z","timestamp":1783530350003,"version":"3.55.0"},"reference-count":58,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,6,16]],"date-time":"2024-06-16T00:00:00Z","timestamp":1718496000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Strategic Priority Research Program of the Chinese Academy of Sciences","award":["XDA23100040308"],"award-info":[{"award-number":["XDA23100040308"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJGI"],"abstract":"<jats:p>The auto-generation of urban roads can greatly improve efficiency and productivity in urban planning and designing. However, it has also raised concerns amongst researchers over the past decade. In this paper, we present an image-based urban road network generation framework using conditional diffusion models. We first trained a diffusion model capable of generating road images with similar characteristics to the ground truth using four context factors. Then, we used the trained model as the generator to synthesize road images conditioned in a geospatial context. Finally, we converted the generated road images into road networks with several post-processes. The experiments conducted in five cities of the United States showed that our model can generate reasonable road networks, maintaining the layouts and styles of real examples. Moreover, our model has the ability to show the obstructive effect of geographic barriers on urban roads. By comparing models with different context factors as input, we find that the model that considers all four factors generally performs the best. The most important factor in guiding the shape of road networks is intersections, implying that the development of urban roads is not only restricted by the natural environment but is more strongly influenced by human design.<\/jats:p>","DOI":"10.3390\/ijgi13060203","type":"journal-article","created":{"date-parts":[[2024,6,17]],"date-time":"2024-06-17T04:48:12Z","timestamp":1718599692000},"page":"203","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Generating Urban Road Networks with Conditional Diffusion Models"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4584-4955","authenticated-orcid":false,"given":"Xiaoyan","family":"Gu","sequence":"first","affiliation":[{"name":"Key Laboratory of Land Surface Pattern and Simulation, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mengmeng","family":"Zhang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Land Surface Pattern and Simulation, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinxin","family":"Lyu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Land Surface Pattern and Simulation, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Quansheng","family":"Ge","sequence":"additional","affiliation":[{"name":"Key Laboratory of Land Surface Pattern and Simulation, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"26377","DOI":"10.1038\/srep26377","article-title":"Population-weighted efficiency in transportation networks","volume":"6","author":"Dong","year":"2016","journal-title":"Sci. Rep."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"012045","DOI":"10.1088\/1757-899X\/512\/1\/012045","article-title":"Road infrastructure development and economic growth","volume":"512","author":"Ng","year":"2019","journal-title":"IOP Conf. Ser. Mater. Sci. Eng."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"170590","DOI":"10.1098\/rsos.170590","article-title":"The scaling structure of the global road network","volume":"4","author":"Strano","year":"2017","journal-title":"R. Soc. Open Sci."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"20200705","DOI":"10.1098\/rsif.2020.0705","article-title":"How the geometry of cities determines urban scaling laws","volume":"18","author":"Molinero","year":"2021","journal-title":"J. R. Soc. Interface"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Aliaga, D.G., Vanegas, C.A., and Benes, B. (2008, January 10\u201313). Interactive example-based urban layout synthesis. Proceedings of the ACM SIGGRAPH Asia 2008 Papers, Singapore.","DOI":"10.1145\/1457515.1409113"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3333","DOI":"10.1016\/j.trpro.2017.05.194","article-title":"Procedural modeling of urban layout: Population, land use, and road network","volume":"25","author":"Lyu","year":"2017","journal-title":"Transp. Res. Procedia"},{"key":"ref_7","unstructured":"Ho, J., Jain, A., and Abbeel, P. (2020). Denoising Diffusion Probabilistic Models. arXiv."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Saharia, C., Chan, W., Saxena, S., Li, L., Whang, J., Denton, E., Kamyar, G., Karagol Ayan, B., Mahdavi, S.S., and Gontijo Lopes, R. (2022). Photorealistic Text-to-Image Diffusion Models with Deep Language Understanding. arXiv.","DOI":"10.1145\/3528233.3530757"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Kumari, N., Zhang, B., Zhang, R., Shechtman, E., and Zhu, J.Y. (2023, January 17\u201324). Multi-Concept Customization of Text-to-Image Diffusion. Proceedings of the 2023 IEEE\/CVF Conference on Computer Vision and Pattern Recognition (CVPR), Vancouver, BC, Canada.","DOI":"10.1109\/CVPR52729.2023.00192"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Khachatryan, L., Movsisyan, A., Tadevosyan, V., Henschel, R., Wang, Z., Navasardyan, S., and Shi, H. (2023). Text2Video-Zero: Text-to-Image Diffusion Models are Zero-Shot Video Generators. arXiv.","DOI":"10.1109\/ICCV51070.2023.01462"},{"key":"ref_11","unstructured":"Goodchild, M.F. (2009, January 25\u201326). The Quality of Geospatial Context. Proceedings of the QuaCon 2009, Stuttgart, Germany."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Boeing, G. (2019). Urban spatial order: Street network orientation, configuration, and entropy. Appl. Netw. Sci., 4.","DOI":"10.1007\/s41109-019-0189-1"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2035","DOI":"10.1080\/13658816.2022.2072849","article-title":"A topography-aware approach to the automatic generation of urban road networks","volume":"36","author":"Fang","year":"2022","journal-title":"Int. J. Geogr. Inf. Sci."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Parish, Y.I.H., and M\u00fcller, P. (2001, January 12\u201317). Procedural modeling of cities. Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques, Los Angeles, CA, USA.","DOI":"10.1145\/383259.383292"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1111\/j.1467-8659.2009.01612.x","article-title":"Procedural Generation of Roads","volume":"29","author":"Galin","year":"2010","journal-title":"Comput. Graph. Forum"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1111\/cgf.12283","article-title":"Procedural Modelling of Urban Road Networks","volume":"33","author":"Wilkie","year":"2014","journal-title":"Comput. Graph. Forum"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Teng, E., and Bidarra, R. (2017, January 14\u201317). A semantic approach to patch-based procedural generation of urban road networks. Proceedings of the 12th International Conference on the Foundations of Digital Games, Hyannis, MA, USA.","DOI":"10.1145\/3102071.3110569"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1111\/cgf.12728","article-title":"Example-Driven Procedural Urban Roads","volume":"35","author":"Nishida","year":"2016","journal-title":"Comput. Graph. Forum"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2281","DOI":"10.1007\/s11071-019-04921-x","article-title":"Urban road network growth model based on RNG proximity graph and angle restriction","volume":"96","author":"Ding","year":"2019","journal-title":"Nonlinear Dyn."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Lima, F.T., Brown, N.C., and Duarte, J.-P. (2022). A Grammar-Based Optimization Approach for Designing Urban Fabrics and Locating Amenities for 15-Minute Cities. Buildings, 12.","DOI":"10.3390\/buildings12081157"},{"key":"ref_21","unstructured":"You, J., Ying, R., Ren, X., Hamilton, W.L., and Leskovec, J. (2018). GraphRNN: Generating Realistic Graphs with Deep Auto-regressive Models. arXiv."},{"key":"ref_22","unstructured":"Bojchevski, A., Shchur, O., Z\u00fcgner, D., and G\u00fcnnemann, S. (2018). NetGAN: Generating Graphs via Random Walks. arXiv."},{"key":"ref_23","unstructured":"Liao, R., Li, Y., Song, Y., Wang, S., Hamilton, W.L., Duvenaud, D., Urtasun, R., and Zemel, R. (2019, January 8\u201314). Efficient Graph Generation with Graph Recurrent Attention Networks. Proceedings of the Advances in Neural Information Processing Systems, Vancouver, BC, Canada."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Owaki, T., and Machida, T. (2020, January 18\u201322). RoadNetGAN: Generating Road Networks in Planar Graph Representation. Proceedings of the Neural Information Processing, Bangkok, Thailand.","DOI":"10.1007\/978-3-030-63820-7_61"},{"key":"ref_25","unstructured":"Chu, H., Li, D., Acuna, D., Kar, A., Shugrina, M., Wei, X., Liu, M.-Y., Torralba, A., and Fidler, S. (November, January 27). Neural turtle graphics for modeling city road layouts. Proceedings of the IEEE\/CVF International Conference on Computer Vision, Seoul, Republic of Korea."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Mi, L., Zhao, H., Nash, C., Jin, X., Gao, J., Sun, C., Schmid, C., Shavit, N., Chai, Y., and Anguelov, D. HDMapGen: A Hierarchical Graph Generative Model of High Definition Maps, In Proceedings of the 2021 IEEE\/CVF Conference on Computer Vision and Pattern Recognition (CVPR), Nashville, TN, USA, 20\u201325 June 2021.","DOI":"10.1109\/CVPR46437.2021.00421"},{"key":"ref_27","unstructured":"Hartmann, S., Weinmann, M., Wessel, R., and Klein, R. (June, January 29). StreetGAN: Towards Road Network Synthesis with Generative Adversarial Networks. Proceedings of the 25th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, Plzen, Czech."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"101853","DOI":"10.1016\/j.compenvurbsys.2022.101853","article-title":"A framework for human-computer interactive street network design based on a multi-stage deep learning approach","volume":"96","author":"Fang","year":"2022","journal-title":"Comput. Environ. Urban Syst."},{"key":"ref_29","unstructured":"Birsak, M., Kelly, T., Para, W., and Wonka, P. (2022). Large-Scale Auto-Regressive Modeling of Street Networks. arXiv."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"2344596","DOI":"10.1080\/17538947.2024.2344596","article-title":"TR2RM: An urban road network generation model based on multisource big data","volume":"17","author":"Yang","year":"2024","journal-title":"Int. J. Digit. Earth"},{"key":"ref_31","first-page":"861","article-title":"The interaction between road network and natural landscape type","volume":"102","author":"Eliou","year":"2007","journal-title":"WIT Trans. Ecol. Environ."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"3340","DOI":"10.3390\/e15093340","article-title":"Entropy Measures of Street-Network Dispersion: Analysis of Coastal Cities in Brazil and Britain","volume":"15","author":"Mohajeri","year":"2013","journal-title":"Entropy"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Song, C., Liu, Q., Song, J., Yang, D., Jiang, Z., Ma, W., Niu, F., and Song, J. (2023). The Interactive Relationship between Street Centrality and Land Use Intensity\u2014A Case Study of Jinan, China. Int. J. Environ. Res. Public Health, 20.","DOI":"10.3390\/ijerph20065127"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"628","DOI":"10.1038\/s41893-019-0310-6","article-title":"Road expansion and persistence in forests of the Congo Basin","volume":"2","author":"Kleinschroth","year":"2019","journal-title":"Nat. Sustain."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1111\/ddi.12680","article-title":"Landscape correlates of forest plant invasions: A high-resolution analysis across the eastern United States","volume":"24","author":"Riitters","year":"2018","journal-title":"Divers. Distrib."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Deng, H., Wen, W., and Zhang, W. (2023). Analysis of Road Networks Features of Urban Municipal District Based on Fractal Dimension. ISPRS Int. J. Geo-Inf., 12.","DOI":"10.3390\/ijgi12050188"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/j.ecolind.2016.06.016","article-title":"Fractal dimensions of metropolitan area road networks and the impacts on the urban built environment","volume":"70","author":"Lu","year":"2016","journal-title":"Ecol. Indic."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Cao, J., Tu, W., Cao, R., Gao, Q., Chen, G., and Li, Q. (2023). Untangling the association between urban mobility and urban elements. Geo-Spat. Inf. Sci., 1\u201319.","DOI":"10.1080\/10095020.2022.2157761"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"2153","DOI":"10.1038\/srep02153","article-title":"Self-organization versus top-down planning in the evolution of a city","volume":"3","author":"Barthelemy","year":"2013","journal-title":"Sci. Rep."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"923","DOI":"10.1007\/s12061-018-9278-2","article-title":"Land Use\/Land Cover and Accessibility: Implications of the Correlations for Land Use and Transport Planning","volume":"12","author":"Wang","year":"2019","journal-title":"Appl. Spat. Anal. Policy"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1016\/j.jum.2020.06.003","article-title":"Analyses and modeling of urban land use and road network interactions using spatial-based disaggregate accessibility to land use","volume":"9","author":"Ahmadzai","year":"2020","journal-title":"J. Urban Manag."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1080\/10630732.2021.2001713","article-title":"Incorporating Planning Intelligence into Deep Learning: A Planning Support Tool for Street Network Design","volume":"29","author":"Fang","year":"2022","journal-title":"J. Urban Technol."},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Kweon, H. (2019). Comparisons of Estimated Circuity Factor of Forest Roads with Different Vertical Heights in Mountainous Areas, Republic of Korea. Forests, 10.","DOI":"10.3390\/f10121147"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"301","DOI":"10.5552\/crojfe.2023.2097","article-title":"Evaluation of Morphometric Terrain Parameters and Their Influence on Determining Optimal Density of Primary Forest Road Network","volume":"44","author":"Drazic","year":"2023","journal-title":"Croat. J. For. Eng."},{"key":"ref_45","unstructured":"Luo, C. (2022). Understanding Diffusion Models: A Unified Perspective. arXiv."},{"key":"ref_46","first-page":"4713","article-title":"Image Super-Resolution via Iterative Refinement","volume":"45","author":"Saharia","year":"2023","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_47","unstructured":"Zhan, C. (November, January 30). A hybrid line thinning approach. Proceedings of the Auto-Carto 11, Minneapolis, MN, USA."},{"key":"ref_48","unstructured":"Heusel, M., Ramsauer, H., Unterthiner, T., Nessler, B., and Hochreiter, S. (2017, January 4\u20139). Gans trained by a two time-scale update rule converge to a local nash equilibrium. Proceedings of the Advances in Neural Information Processing Systems, Long Beach, CA, USA."},{"key":"ref_49","first-page":"1","article-title":"The truth of the F-measure","volume":"1","author":"Sasaki","year":"2007","journal-title":"Teach. Tutor Mater"},{"key":"ref_50","doi-asserted-by":"crossref","unstructured":"Moulton, R., and Jiang, Y. (2018). Maximally Consistent Sampling and the Jaccard Index of Probability Distributions. arXiv.","DOI":"10.1109\/ICDM.2018.00050"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1007\/s41109-019-0234-0","article-title":"Modelling urban networks using Variational Autoencoders","volume":"4","author":"Kempinska","year":"2019","journal-title":"Appl. Netw. Sci."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1080\/13658816.2015.1085538","article-title":"Empirical determination of geometric parameters for selective omission in a road network","volume":"30","author":"Zhou","year":"2016","journal-title":"Int. J. Geogr. Inf. Sci."},{"key":"ref_53","doi-asserted-by":"crossref","unstructured":"Hacar, M., and G\u00f6kg\u00f6z, T. (2019). A New, Score-Based Multi-Stage Matching Approach for Road Network Conflation in Different Road Patterns. ISPRS Int. J. Geo-Inf., 8.","DOI":"10.3390\/ijgi8020081"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1038\/srep00296","article-title":"Elementary processes governing the evolution of road networks","volume":"2","author":"Strano","year":"2012","journal-title":"Sci. Rep."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1007\/s11442-015-1180-0","article-title":"Evolution, accessibility and dynamics of road networks in China from 1600 BC to 1900 AD","volume":"25","author":"Wang","year":"2015","journal-title":"J. Geogr. Sci."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"025008","DOI":"10.1088\/2634-4505\/acd1aa","article-title":"A global assessment of national road network vulnerability","volume":"3","author":"Koks","year":"2023","journal-title":"Environ. Res. Infrastruct. Sustain."},{"key":"ref_57","first-page":"16","article-title":"Extraction of mountains from digital elevation models using mathematical morphology","volume":"1","author":"Sathyamoorthy","year":"2006","journal-title":"GIS Malays."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"100795","DOI":"10.1016\/j.progress.2023.100795","article-title":"Generative urban design: A systematic review on problem formulation, design generation, and decision-making","volume":"180","author":"Jiang","year":"2023","journal-title":"Prog. Plan."}],"container-title":["ISPRS International Journal of Geo-Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2220-9964\/13\/6\/203\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:59:29Z","timestamp":1760108369000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2220-9964\/13\/6\/203"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,16]]},"references-count":58,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2024,6]]}},"alternative-id":["ijgi13060203"],"URL":"https:\/\/doi.org\/10.3390\/ijgi13060203","relation":{},"ISSN":["2220-9964"],"issn-type":[{"value":"2220-9964","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,6,16]]}}}