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Article

Optimizing Bounding Box Regression by Normalized Intersection over Union with Structured Dual-Center Distance

1
College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
2
College of Finance and Mathematics, Huainan Normal University, Huainan 232038, China
*
Author to whom correspondence should be addressed.
Symmetry 2026, 18(6), 987; https://doi.org/10.3390/sym18060987 (registering DOI)
Submission received: 24 April 2026 / Revised: 25 May 2026 / Accepted: 4 June 2026 / Published: 8 June 2026
(This article belongs to the Special Issue Advances in Image Processing with Symmetry/Asymmetry)

Abstract

To mitigate the drawbacks of joint crossover (IoU) in complex detection scenarios, this paper proposes a normalized IoU strategy. This strategy enhances the matching robustness in multi-scale object detection by introducing target scale parameters. The proposed method shows comparable or superior average precision (mAP) performance to traditional methods on public datasets. In addition, we have designed a dual-center distance penalty mechanism that implicitly enforces symmetric constraints between bounding boxes, increasing the number of positive samples detected. Our method has been evaluated on mainstream public datasets and unmanned aerial vehicle (UAV) water level gauge datasets, as well as evaluated using the You Only Look Once (YOLO) framework. Our method increased the average number of positive samples by 2.28% compared to CIoU. It also surpasses the most advanced technology. The dual-center constraint enhances the spatial alignment between bounding boxes. This results in notable performance gains in challenging scenarios. These scenarios involve blurred and heavily occluded objects. After parameter optimization, the proposed method achieves significant accuracy improvements. These improvements are seen in detecting small-scale and occluded characters.
Keywords: computer vision; intersection over union; object detection; loss function; sample imbalance computer vision; intersection over union; object detection; loss function; sample imbalance

Share and Cite

MDPI and ACS Style

Chen, J.; Wu, Y.; Huo, Y. Optimizing Bounding Box Regression by Normalized Intersection over Union with Structured Dual-Center Distance. Symmetry 2026, 18, 987. https://doi.org/10.3390/sym18060987

AMA Style

Chen J, Wu Y, Huo Y. Optimizing Bounding Box Regression by Normalized Intersection over Union with Structured Dual-Center Distance. Symmetry. 2026; 18(6):987. https://doi.org/10.3390/sym18060987

Chicago/Turabian Style

Chen, Jinlin, Yiquan Wu, and Yuhong Huo. 2026. "Optimizing Bounding Box Regression by Normalized Intersection over Union with Structured Dual-Center Distance" Symmetry 18, no. 6: 987. https://doi.org/10.3390/sym18060987

APA Style

Chen, J., Wu, Y., & Huo, Y. (2026). Optimizing Bounding Box Regression by Normalized Intersection over Union with Structured Dual-Center Distance. Symmetry, 18(6), 987. https://doi.org/10.3390/sym18060987

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