An Intelligent Generation Method for Kizil Rhombic Mural Patterns Based on Diffusion Models and Its Application in Digital Fashion Design
Main Article Content
Abstract
Structured geometric patterns play an important role not only in cultural heritage preservation and digital design but also in engineering applications where periodic layouts inspire functional surface architectures and electromagnetic wave manipulation. The Kizil rhombic murals, characterized by distinctive lattice configurations and rich visual semantics, present significant challenges for intelligent regeneration because conventional generative methods cannot simultaneously preserve stylistic authenticity and geometric regularity. This study develops a conditional diffusion-based framework that combines latent diffusion modeling with ControlNet-guided structural constraints to generate high-fidelity Kizil rhombic patterns. A dedicated high-resolution dataset is established, and the model is optimized to jointly capture chromatic characteristics, artistic motifs, and rigid rhombic-grid organization through Canny edge conditioning. Quantitative evaluation using Fréchet Inception Distance, Inception Score, and Structural Adherence Score demonstrates that the proposed approach achieves superior visual quality and structural consistency compared with existing generative methods. The generated patterns are further integrated into a digital fashion design workflow for virtual garment creation, confirming their practical applicability in creative industries. Beyond cultural heritage regeneration, the proposed framework provides a data-driven strategy for generating structured periodic patterns with potential reference value for geometry-oriented design problems in electromagnetic surfaces, antenna-inspired pattern engineering, and intelligent visual manufacturing.
Downloads
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
References
M. Zin, “The Kanaganahalli Stupa: An Analysis of the 60 Massive Slabs Covering the Dome,” New Delhi, India: Aryan Books International; 2018.
Z. Zhou, L. Shen, and H. Zhang, “The Wall Painting Techniques and Materials of Kizil Grottoes,” in Aoki S, Taniguchi Y, Rickerby S, et al., editors. Conservation and Painting Techniques of Wall Paintings on the Ancient Silk Road. Cultural Heritage Science. Singapore: Springer, 2021, pp. 235-251, doi: 10.1007/978-981-33-4161-6, [Online]. Available: https://link.springer.com/book/10.1007/978-981-33-4161-6.
Y. Hayashi, “Research of Blueness: Lapis Lazuli in the Kizil Grottoes Murals of the Silk Road,” University of Helsinki [dissertation]. Helsinki, Finland: University of Helsinki 2019, [Online]. Available: http://hdl.handle.net/10138/301910.
D. Bruton, “Theorizing Digital Cultural Heritage: A Critical Discourse,” Information, Communication & Society, vol. 14, no. 7, pp. 1077-1078, 2011, doi: 10.1080/1369118X.2010.542826.
F. Spettu, “Towards a new approach to BIM for Cultural Heritage: A framework for the reverse engineering of Milan Cathedral [dissertation],” Milan, Italy: Politecnico di Milano, 2020.
I. J. Goodfellow, J. Pouget-Abadie, M. Mirza, B. Xu, D. Warde-Farley, S. Ozair, et al., “Generative Adversarial Nets,” Proceedings of the 28th International Conference on Neural Information Processing Systems - Volume 2; December 8 - 13, pp. Montreal, Canada: MIT Press; 2014. p. 2672–2680, 2014, [Online]. Available: https://dl.acm.org/doi/10.5555/2969033.2969125.
T. Salimans, I. Goodfellow, W. Zaremba, V. Cheung, A. Radford, and X. Chen, “Improved techniques for training GANs,” Proceedings of the 30th International Conference on Neural Information Processing Systems (NIPS’16); 5-10 December 2016; Barcelona, Spain. Red Hook, NY, USA: Curran Associates Inc.; 2016. p. 2234-2242, [Online]. Available: https://dl.acm.org/doi/abs/10.5555/3157096.3157346.
J. Ho, A. Jain, and P. Abbeel, “Denoising diffusion probabilistic models,” Proceedings of the 34th International Conference on Neural Information Processing Systems (NIPS ’20); 6-12 December 2020; Vancouver, Canada. Red Hook, NY, USA: Curran Associates Inc.; 2020. Article 574; p. 6840-6851, [Online]. Available: https://dl.acm.org/doi/abs/10.5555/3495724.3496298.
J. Sohl-Dickstein, E. Weiss, N. Maheswaranathan, and S. Ganguli, “Deep Unsupervised Learning using Nonequilibrium Thermodynamics,” Proceedings of the 32nd International Conference on Machine Learning - Volume 37 (ICML’15); 6-11 July 2015; Lille, France. JMLR.org; 2015. p. 2256-2265, [Online]. Available: https://dl.acm.org/doi/abs/10.5555/3045118.3045358.
U. Bergmann, N. Jetchev, and R. Vollgraf, “Learning texture manifolds with the Periodic Spatial GAN,” Proceedings of the 34th International Conference on Machine Learning - Volume 70 (ICML’17); 6-11 August 2017; Sydney, Australia. JMLR.org; 2017. p. 469-477, [Online]. Available: https://dl.acm.org/doi/abs/10.5555/3305381.3305430.
P. Isola, J.-Y. Zhu, T. Zhou, and A. A. Efros, “Image-To-Image Translation with Conditional Adversarial Networks,” Proceedings of the 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 1125-1134, 2017, doi: 10.1109/CVPR.2017.632.
L. Zhang, A. Rao, and M. Agrawala, “Adding Conditional Control to Text-to-Image Diffusion Models,” Proceedings of the 2023 IEEE/CVF International Conference on Computer Vision (ICCV); 1-6 October 2023; Paris, France. IEEE; 2023. p. 3813-3824, doi: 10.1109/iccv51070.2023.00355.
Y. Li, H. Liu, Q. Wu, F. Mu, J. Yang, J. Gao, et al., “GLIGEN: Open-Set Grounded Text-to-Image Generation,” Proceedings of 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR); 17-24 June 2023; Vancouver, Canada. IEEE; 2023. p. 22511-22521, doi: 10.1109/cvpr52729.2023.02156.