CVOct 31, 2025

Gaussian Combined Distance: A Generic Metric for Object Detection

arXiv:2510.27649v11 citationsh-index: 1Has CodeIEEE Geoscience and Remote Sensing Letters
Originality Incremental advance
AI Analysis

This work addresses the challenge of detecting small objects in computer vision, which is critical for applications like surveillance and autonomous driving, though it is incremental as it builds on prior Gaussian-based metrics.

The paper tackles the problem of poor performance in object detection for small objects by introducing the Gaussian Combined Distance (GCD) as a new similarity metric, which achieves state-of-the-art results on datasets like AI-TOD-v2, MS-COCO-2017, and Visdrone-2019, outperforming existing methods like Wasserstein Distance.

In object detection, a well-defined similarity metric can significantly enhance model performance. Currently, the IoU-based similarity metric is the most commonly preferred choice for detectors. However, detectors using IoU as a similarity metric often perform poorly when detecting small objects because of their sensitivity to minor positional deviations. To address this issue, recent studies have proposed the Wasserstein Distance as an alternative to IoU for measuring the similarity of Gaussian-distributed bounding boxes. However, we have observed that the Wasserstein Distance lacks scale invariance, which negatively impacts the model's generalization capability. Additionally, when used as a loss function, its independent optimization of the center attributes leads to slow model convergence and unsatisfactory detection precision. To address these challenges, we introduce the Gaussian Combined Distance (GCD). Through analytical examination of GCD and its gradient, we demonstrate that GCD not only possesses scale invariance but also facilitates joint optimization, which enhances model localization performance. Extensive experiments on the AI-TOD-v2 dataset for tiny object detection show that GCD, as a bounding box regression loss function and label assignment metric, achieves state-of-the-art performance across various detectors. We further validated the generalizability of GCD on the MS-COCO-2017 and Visdrone-2019 datasets, where it outperforms the Wasserstein Distance across diverse scales of datasets. Code is available at https://github.com/MArKkwanGuan/mmdet-GCD.

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