GPR-HIDiff: A diffusion-based model for horizontal interference suppression in urban underground detection radar profiles

Xiaosong Tang , Feng Yang , Xu Qiao , Jialin Liu , Haitao Zuo , Liang Gao , Jianshe Zhao , Suping Peng

Underground Space ›› 2026, Vol. 26 ›› Issue (1) : 458 -478.

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Underground Space ›› 2026, Vol. 26 ›› Issue (1) :458 -478. DOI: 10.1016/j.undsp.2025.08.002
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GPR-HIDiff: A diffusion-based model for horizontal interference suppression in urban underground detection radar profiles
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Abstract

Automated subsurface utility detection systems in construction rely heavily on the quality of ground-penetrating radar (GPR) profiles, which are often degraded by high-amplitude horizontal interference. Existing low-rank decomposition methods lack the intelligence and flexibility required for multi-site data processing and involve labor-intensive parameter tuning, impeding their integration into intelligent construction workflows. To address these challenges, this paper proposes a horizontal interference suppression algorithm based on a diffusion model, termed GPR-HIDiff. The proposed model replaces conventional sequential convolutional operators with ResBlocks throughout the encoder, intermediate layer, and decoder of the UNet architecture, enhancing training stability. Lightweight agent attention modules are embedded between ResBlocks at each level to improve global information modeling capability. A spatial attention mechanism is deployed between the encoder and decoder to achieve adaptive spatial feature optimization. Furthermore, the forward diffusion phase adopts a cos$\theta $ schedule-based strategy to ensure a smooth temporal variation of noise variance. A standardized dataset comprising real-world measured samples and finite difference time domain simulation samples of urban road models has also been constructed. The effectiveness of the hybrid dataset, the introduced modules, the robustness analysis, and the cos$\theta $ schedule is validated through training with single/mixed datasets, ablation studies, evaluation of metric variations before and after the introduction of different noise levels, and comparative experiments with constant, linear, and cos$\theta $ schedules. Experimental results demonstrate that GPR-HIDiff significantly outperforms both traditional methods and state-of-the-art deep learning models on both simulated and real-world test samples. It effectively suppresses horizontal artifacts, preserves target hyperbolic contours, and avoids excessive reduction of target scattering, showcasing its exceptional performance. This method provides a powerful algorithmic foundation for high-resolution GPR imaging and target detection.

Keywords

Ground-penetrating radar / Horizontal interference / Diffusion model / Agent attention module / Spatial attention / Hybrid dataset

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Xiaosong Tang, Feng Yang, Xu Qiao, Jialin Liu, Haitao Zuo, Liang Gao, Jianshe Zhao, Suping Peng. GPR-HIDiff: A diffusion-based model for horizontal interference suppression in urban underground detection radar profiles. Underground Space, 2026, 26(1): 458-478 DOI:10.1016/j.undsp.2025.08.002

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Data availability

The data that used in this study are available on https://github.com/txs129129/code--data--horizontal-iInterference.

CRediT authorship contribution statement

Xiaosong Tang: Writing - original draft, Visualization, Methodology, Formal analysis, Data curation, Conceptualization. Feng Yang: Validation, Supervision. Xu Qiao: Visualization, Validation. Jialin Liu: Writing - original draft, Validation. Haitao Zuo: Visualization, Validation. Liang Gao: Writing - original draft. Jianshe Zhao: Visualization, Validation. Suping Peng: Validation, Supervision.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgement

This work was supported by the National Natural Science Foundation of China (Grant No. 52427901) and the Fundamental Research Funds for the Central Universities (Ph.D. Top Innovative Talents Fund of CUMTB) (Grant No. BBJ2025073).

References

[1]

Anderson, B. D. O. (1982). Reverse-time diffusion equation models. Stochastic Processes and their Applications, 12 (3), 313-326.

[2]

Asperti, A. (2019). Variational autoencoders and the variable collapse phenomenon. Sensors & Transducers, 234 (6), 1-8.

[3]

Atef, A. H., & Rashed, M. A. (2023). GPR ringing suppression using lateral outliers’ swap filter. Journal of Applied Geophysics, 208, 104873.

[4]

Batzolis, G., Stanczuk, J., Schönlieb, C. B., & Etmann, C. (2021). Conditional image generation with score-based diffusion models. preprint. https://arxiv.org/abs/2111.13606.

[5]

Cai, S. Z., Mao, Z. P., Wang, Z. C., Yin, M. L., & Karniadakis, G. E. (2021). Physics-informed neural networks (PINNs) for fluid mechanics: A review. Acta Mechanica Sinica, 37, 1727-1738.

[6]

Choromanski, K. M., Likhosherstov, V., Dohan, D., Song, X. Y., Gane, A., Sarlos, T., Hawkins, P., Davis, J. Q., Mohiuddin, A., Kaiser, L., Belanger, D. B., Colwell, L. J., & Weller, A. (2020). Rethinking attention with performers. Advances in Neural Information Processing Systems. preprint. https://arxiv.org/abs/2009.14794.

[7]

Davidson, T. R., Falorsi, L., Cao, N. D., Kipf, T., & Tomczak, J. M. (2018). Hyperspherical variational auto-encoders. preprint. https://arxiv.org/abs/1804.00891.

[8]

Gillespie, D. T. (1996). Exact numerical simulation of the Ornstein-Uhlenbeck process and its integral. Physical Review E, 54 (2), 2084-2091.

[9]

Guo, C. L., Szemenyei, M., Yi, Y. G., Wang, W. L., Chen, B., & Fan, C. Q. (2021). SA-UNet: Spatial attention U-Net for retinal vessel segmentation. In Proceedings of the 2020 25th International Conference on Pattern Recognition (ICPR) (pp. 1236-1242).

[10]

Guo, K. L., Liu, L., Xu, X. M., Xu, D., & Tao, D. C. (2018). GoDec+: Fast and robust low-rank matrix decomposition based on maximum correntropy. IEEE Transactions on Neural Networks and Learning Systems, 29 (6), 2323-2336.

[11]

Han, D. C., Ye, T. Z., Han, Y. Z., Xia, Z. F., Pan, S. Y., Wan, P. F., Song, S. J., & Huang, G. (2024). Agent attention: On the integration of softmax and linear attention. In Proceedings of the 18th European Conference on Computer Vision (pp. 124-140).

[12]

He, X. K., Wang, C., Zheng, R. Y., & Li, X. W. (2021). GPR image noise removal using grey wolf optimisation in the NSST domain. Remote Sensing, 13 (21), 4416.

[13]

Ho, J., Jain, A., & Abbeel, P. (2020). Denoising diffusion probabilistic models. Advances in neural information processing systems, 33, 6840-6851.

[14]

Huang, M. J., Wang, Y. H., Wu, Y. Q., & Jia, Z. (2025). Ground Penetrating Radar Inversion Via Steady-State Diffusion Processes. IEEE Transactions on Geoscience and Remote Sensing, 63, 1-9.

[15]

Katharopoulos, A., Vyas, A., Pappas, N., & Fleuret, F. (2020). Transformers are rnns: Fast autoregressive transformers with linear attention. In Proceedings of the 37th International Conference on Machine Learning (pp. 5156-5165).

[16]

Kazerouni, A., Aghdam, E. K., Heidari, M., Azad, R., Fayyaz, M., Hacihaliloglu, I., & Merhof, D. (2023). Diffusion models in medical imaging: A comprehensive survey. Medical Image Analysis, 88, 102846.

[17]

Kloeden, P. E., & Platen, E. (1992). Numerical solution of stochastic differential equations. Springer.

[18]

Kumlu, D., & Erer, I. (2018). Performance evaluation of NMF methods with different divergence metrics for landmine detection in GPR. In Proceedings of the International Society for Optical Engineering (SPIE) (pp. 158-167).

[19]

Lan, T., Luo, X., Yang, X. P., Gong, J. B., Li, X. J., & Qu, X. D. (2024). A constrained diffusion model for deep GPR image enhancement. IEEE Geoscience and Remote Sensing Letters, 21, 1-5.

[20]

Ledig, C., Theis, L., Huszár, F., Caballero, J., Cunningham, A., Acosta, A., Aitken, A., Tejani, A., Totz, J., Wang, Z. H., & Shi, W. Z. (2017). Photo-realistic single image super-resolution using a generative adversarial network. In Proceedings of the 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (pp. 105-114).

[21]

Li, Y., Liu, G. C., Liu, Q. S., Sun, Y. B., & Chen, S. Y. (2019). Moving object detection via segmentation and saliency constrained RPCA. Neurocomputing, 323, 352-362.

[22]

Liang, J. Y., Cao, J. Z., Sun, G. L., Zhang, K., Van Gool, L., & Timofte, R. (2021). SwinIR: Image restoration using swin transformer. In Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV) (pp. 1833-1844).

[23]

Liu, B. K., Liu, P. J., Lu, W. Z., & Olofsson, T. (2025). Explainable artificial intelligence (XAI) for material design and engineering applications: A quantitative computational framework. International Journal of Mechanical System Dynamics, 5 (2), 236-265.

[24]

Liu, B. K., Lu, W. Z., Olofsson, T., Zhuang, X. Y., & Rabczuk, T. (2024a). Stochastic interpretable machine learning based multiscale modeling in thermal conductivity of Polymeric graphene-enhanced composites. Composite Structures, 327, 117601.

[25]

Liu, B. K., Vu-Bac, N., Zhuang, X. Y., Fu, X. L., & Rabczuk, T. (2022a). Stochastic full-range multiscale modeling of thermal conductivity of Polymeric carbon nanotubes composites: A machine learning approach. Composite Structures, 289, 115393.

[26]

Liu, B. K., Vu-Bac, N., Zhuang, X. Y., Fu, X. L., & Rabczuk, T. (2022b). Stochastic integrated machine learning based multiscale approach for the prediction of the thermal conductivity in carbon nanotube reinforced polymeric composites. Composites Science and Technology, 224, 109425.

[27]

Liu, B. K., Vu-Bac, N., Zhuang, X. Y., & Rabczuk, T. (2020). Stochastic multiscale modeling of heat conductivity of polymeric clay nanocomposites. Mechanics of Materials, 142, 103280.

[28]

Liu, B. K., Wang, Y. Z., Rabczuk, T., Olofsson, T., & Lu, W. Z. (2024b). Multi-scale modeling in thermal conductivity of polyurethane incorporated with phase change materials using physics-informed neural networks. Renewable Energy, 220, 119565.

[29]

Liu, S. X., Chen, Y. H., Luo, C. P., Jiang, H. J., Li, H., Li, H. Q., & Lu, Q. (2022). Particle swarm optimization-based variational mode decomposition for ground penetrating radar data denoising. Remote Sensing, 14 (13), 2973.

[30]

Lu, J. C., Yao, J. H., Zhang, J. G., Zhu, X. T., Xu, H., Gao, W. G., Xu, C. J., Xiang, T., & Zhang, L. (2021). Soft: Softmax-free transformer with linear complexity. preprint. https://arxiv.org/abs/2110.11945.

[31]

Luo, Z. W., Gustafsson, F. K., Zhao, Z., Sjölund, J., & Schön, T. B. (2023). Image restoration with mean-reverting stochastic differential equations. In Proceedings of the 40th International Conference on Machine Learning (pp.23045-23066).

[32]

Ma, C., Rao, Y. M., Lu, J. W., & Zhou, J. (2022). Structure-preserving image super-resolution. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44 (11), 7898-7911.

[33]

Mao, X. D., Li, Q., Xie, H. R., Lau, R. Y., Wang, Z., & Smolley, S. P. (2017). Least squares generative adversarial networks. In Proceedings of the IEEE International Conference on Computer Vision (ICCV) (pp. 2813-2821).

[34]

Marukatat, S. (2023). Tutorial on PCA and approximate PCA and approximate kernel PCA. Artificial Intelligence Review, 56, 5445-5477.

[35]

Nichol, A. Q., & Dhariwal, P. (2021). Improved denoising diffusion probabilistic models. In Proceedings of the 38th International Conference on Machine Learning (pp.8162-8171).

[36]

Nobes, D. C. (1999). Geophysical surveys of burial sites: A case study of the Oaro urupa. Geophysics, 64 (2), 357-367.

[37]

Pandey, A., Yadav, D., Sharma, A., Sonker, D., Patel, C., Bal, C., & Kumar, R. (2020). Evaluation of perception based image quality evaluator (PIQE) no-reference image quality score for 99mTc-MDP bone scan images. Journal of Nuclear Medicine, 61 (S1), 1415.

[38]

Rashed, M. A. (2003). Optimum-offset weighted stacking: A novel Processing technique to enhance signal-to-noise ratio in seismic data acquired in urban areas and its application on Uemach Fault, Osaka, Japan. [Doctoral dissertation, Osaka City University, Japan].

[39]

Ren, D. W., Zuo, W. M., Hu, Q. H., Zhu, P. F., & Meng, D. Y. (2019). Progressive image deraining networks: A better and simpler baseline. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) (pp. 3932-3941).

[40]

Rezende, D. J., Mohamed, S., & Wierstra, D. (2014). Stochastic backpropagation and approximate inference in deep generative models. In Proceedings of the 31st International Conference on Machine Learning (pp.1278-1286).

[41]

Rissanen, S., Heinonen, M., & Solin, A. (2023). Generative modelling with inverse heat dissipation. In Proceedings of the 11th International Conference on Learning Representations (ICLR) (pp. 1-54).

[42]

Rombach, R., Blattmann, A., Lorenz, D., Esser, P., & Ommer, B. (2022). High-resolution image synthesis with latent diffusion models. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) (pp. 10684-10695).

[43]

Sadeghi, M., Behnia, F., & Amiri, R. (2020). Window selection of the Savitzky-Golay filters for signal recovery from noisy measurements. IEEE Transactions on Instrumentation and Measurement, 69 (8), 5418-5427.

[44]

Shen, Z. R., Zhang, M. Y., Zhao, H. Y., Yi, S., & Li, H. S. (2021). Efficient attention: Attention with linear complexities. In Proceedings of the IEEE Winter Conference on Applications of Computer Vision (WACV) (pp. 3530-3538).

[45]

Simonyan, K., & Zisserman, A. (2014). Very deep convolutional networks for large-scale image recognition. In Proceedings of the International Conference on Learning Representations (ICLR). April 14-16, 2014, Banff, Canada.

[46]

Sohl-Dickstein, J., Weiss, E. A., Maheswaranathan, N., & Ganguli, S. (2015). Deep unsupervised learning using nonequilibrium thermodynamics. In Proceedings of the 32nd International Conference on Machine Learning (pp.2256-2265).

[47]

Song, J. M., Meng, C. L., & Ermon, S. (2020). Denoising diffusion implicit models. preprint. https://arxiv.org/abs/2010.02502.

[48]

Song, X. J., Xiang, D. L., Zhou, K., & Su, Y. (2019). Fast prescreening for GPR antipersonnel mine detection via go decomposition. IEEE Geoscience and Remote Sensing Letters, 16 (1), 15-19.

[49]

Song, Y., & Ermon, S. (2019). Generative modeling by estimating gradients of the data distribution. In Proceedings of the 34th International Conference on Neural Information Processing Systems (pp.6840-6851).

[50]

Thombre, M., Anitescu, C., Bharadwaja, B., Wang, Y. Z., Rabczuk, T., & Alankar, A. (2025). Energy-based methods for solving forward and inverse linear elasticity problems in 2D structures. Computers & Structures, 316, 107899.

[51]

Wang, X. T., Yu, K., Wu, S. X., Gu, J. J., Liu, Y. H., Dong, C., Qiao, Y., & Change Loy, C. (2018). Esrgan: Enhanced super-resolution generative adversarial networks. In Proceedings of the European Conference on Computer Vision (ECCV) (pp. 63-79).

[52]

Wang, Y. X., & Zhang, Y. J. (2013). Nonnegative matrix factorization: A comprehensive review. IEEE Transactions on Knowledge and Data Engineering, 25 (6), 1336-1353.

[53]

Wang, Y. Z., Bai, J. S., Lin, Z. Y., Wang, Q. M., Anitescu, C., Sun, J., Eshaghi, M. S., Gu, Y. T., Feng, X. Q., Zhuang, X. Y., Rabczuk, T., & Liu, Y. H. (2024). Artificial intelligence for partial differential equations in computational mechanics: A review. preprint. https://arxiv.org/abs/2410.19843.

[54]

Wang, Y. Z., Sun, J., Bai, J. S., Anitescu, C., Eshaghi, M. S., Zhuang, X. Y., Rabczuk, T., & Liu, Y. H. (2025). Kolmogorov-Arnold-Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov-Arnold Networks. Computer Methods in Applied Mechanics and Engineering, 433, 117518.

[55]

Wang, Y. Z., Sun, J., Li, W., Lu, Z. Y., & Liu, Y. H. (2022). CENN: Conservative energy method based on neural networks with subdomains for solving variational problems involving heterogeneous and complex geometries. Computer Methods in Applied Mechanics and Engineering, 400, 115491.

[56]

Wang, Z., Bovik, A. C., Sheikh, H. R., & Simoncelli, E. P. (2004). Image quality assessment: From error visibility to structural similarity. IEEE Transactions on Image Processing, 13 (4), 600-612.

[57]

Wiatrak, M., Albrecht, S. V., & Nystrom, A. (2019). Stabilizing generative adversarial networks: A survey. preprint. https://arxiv.org/abs/1910.00927.

[58]

Woo, S., Park, J., Lee, J. Y., & Kweon, I. S. (2018). CBAM: Convolutional block attention module. In Proceedings of the 15th European Conference on Computer Vision (ECCV) (pp. 3-19).

[59]

Wu, L. Y., Zhang, X. G., Chen, H., Zhou, Y. C., Wang, L. H., & Wang, D. J. (2022). An efficient unsupervised image quality metric with application for condition recognition in kiln. Engineering Applications of Artificial Intelligence, 107, 104547.

[60]

Xia, Y. Y., Zhang, C., Wang, C. X., Liu, H. J., Sang, X. X., Liu, R., Zhao, P., An, G. F., Fang, H. Y., Shi, M. S., Li, B., Yuan, Y. M., & Liu, B. K. (2023). Prediction of bending strength of glass fiber reinforced methacrylate-based pipeline UV-CIPP rehabilitation materials based on machine learning. Tunnelling and Undegro und Space Technology, 140, 105319.

[61]

Xiao, Y., Yuan, Q. Q., Jiang, K., He, J., Jin, X. Y., & Zhang, L. P. (2024). EDiffSR: An efficient diffusion probabilistic model for remote sensing image super-resolution. IEEE Transactions on Geoscience and Remote Sensing, 62, 5601514.

[62]

Yang, L., Zhang, Z. L., Song, Y., Hong, S. D., Xu, R. S., Zhao, Y., Zhang, W. T., Cui, B., & Yang, M. H. (2023). Diffusion models: A comprehensive survey of methods and applications. ACM Computing Surveys, 56 (4), 1-39.

[63]

Yang, W. H., Tan, R. T., Feng, J. S., Liu, J. Y., Guo, Z. M., & Yan, S. C. (2017). Deep joint rain detection and removal from a single image. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (pp. 1685-1694).

[64]

Yauri-Lozano, E., Castillo-Cara, M., Orozco-Barbosa, L., & García-Castro, R. (2024). Generative adversarial networks for text-to-face synthesis & generation: A quantitative- qualitative analysis of natural language processing encoders for Spanish. Information Processing & Management, 61 (3), 103667.

[65]

Zamir, S. W., Arora, A., Khan, S., Hayat, M., Khan, F. S., Yang, M. H., & Shao, L. (2021). Multi-stage progressive image restoration. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) (pp. 14816-14826).

[66]

Zhang, K., Zuo, W. M., Gu, S. H., & Zhang, L. (2017). Learning deep CNN denoiser prior for image restoration. In Proceedings of the 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (pp. 2808-2817).

[67]

Zhou, T. Y., & Tao, D. C. (2011). GoDec: Randomized low-rank & sparse matrix decomposition in noisy case. In Proceedings of the 28th International Conference on Machine Learning (pp. 33-40).

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