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Most object detection methods use bounding boxes to encode and represent the object shape and location. In this work, we explore a fuzzy representation of object regions using Gaussian distributions, which provides an implicit binary…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Jeffri M. Llerena , Luis Felipe Zeni , Lucas N. Kristen , Claudio Jung

The loss function for bounding box regression (BBR) is essential to object detection. Its good definition will bring significant performance improvement to the model. Most existing works assume that the examples in the training data are…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Zanjia Tong , Yuhang Chen , Zewei Xu , Rong Yu

We propose a Ground IoU (Gr-IoU) to address the data association problem in multi-object tracking. When tracking objects detected by a camera, it often occurs that the same object is assigned different IDs in consecutive frames, especially…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Keisuke Toida , Naoki Kato , Osamu Segawa , Takeshi Nakamura , Kazuhiro Hotta

In this work, we propose N EIoU YOLOv9, a lightweight detection framework based on a signal aware bounding box regression loss derived from non monotonic gradient focusing and geometric decoupling principles, referred to as N EIoU (Non…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Dung Ta Nguyen Duc , Thanh Bui Dang , Hoang Le Minh , Tung Nguyen Viet , Huong Nguyen Thanh , Dong Trinh Cong

Table Detection (TD) is a fundamental task to enable visually rich document understanding, which requires the model to extract information without information loss. However, popular Intersection over Union (IoU) based evaluation metrics and…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Bin Xiao , Murat Simsek , Burak Kantarci , Ala Abu Alkheir

Existing metrics used to evaluate table structure recognition algorithms have shortcomings with regard to capturing text and empty cells alignment. In this paper, we build on prior work and propose a new metric - TEDS based IOU similarity…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Tarun Kumar , Himanshu Sharad Bhatt

The Jaccard index, also known as Intersection-over-Union (IoU), is one of the most critical evaluation metrics in image semantic segmentation. However, direct optimization of IoU score is very difficult because the learning objective is…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Litao Yu , Zhibin Li , Min Xu , Yongsheng Gao , Jiebo Luo , Jian Zhang

Multi-object tracking (MOT) methods often rely on Intersection-over-Union (IoU) for association. However, this becomes unreliable when objects are similar or occluded. Also, computing IoU for segmentation masks is computationally expensive.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Milad Khanchi , Maria Amer , Charalambos Poullis

Oriented bounding box regression is crucial for oriented object detection. However, regression-based methods often suffer from boundary problems and the inconsistency between loss and evaluation metrics. In this paper, a modulated Kalman…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Xinyi Yu , Jiangping Lu , Xinyi Yu , Mi Lin , Linlin Ou

We present the structured average intersection-over-union ratio (STRUCT-IOU), a similarity metric between constituency parse trees motivated by the problem of evaluating speech parsers. STRUCT-IOU enables comparison between a constituency…

Computation and Language · Computer Science 2024-06-21 Freda Shi , Kevin Gimpel , Karen Livescu

This paper presents Mask-aware Intersection-over-Union (maIoU) for assigning anchor boxes as positives and negatives during training of instance segmentation methods. Unlike conventional IoU or its variants, which only considers the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-20 Kemal Oksuz , Baris Can Cam , Fehmi Kahraman , Zeynep Sonat Baltaci , Sinan Kalkan , Emre Akbas

This paper revisits the problem of predicting box locations in object detection architectures. Typically, each box proposal or box query aims to directly maximize the intersection-over-union score with the ground truth, followed by a…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Aritra Bhowmik , Pascal Mettes , Martin R. Oswald , Cees G. M. Snoek

Optimizing the similarity between parametric shapes is crucial for numerous computer vision tasks, where Intersection over Union (IoU) stands as the canonical measure. However, existing optimization methods exhibit significant shortcomings:…

Computer Vision and Pattern Recognition · Computer Science 2025-04-25 Duy-Tho Le , Trung Pham , Jianfei Cai , Hamid Rezatofighi

While formal robustness verification has seen significant success in image classification, scaling these guarantees to object detection remains notoriously difficult due to complex non-linear coordinate transformations and…

Machine Learning · Computer Science 2026-03-06 Benedikt Brückner , Alejandro J. Mercado , Yanghao Zhang , Panagiotis Kouvaros , Alessio Lomuscio

Most deep learning object detectors are based on the anchor mechanism and resort to the Intersection over Union (IoU) between predefined anchor boxes and ground truth boxes to evaluate the matching quality between anchors and objects. In…

Computer Vision and Pattern Recognition · Computer Science 2020-09-30 Heng Zhang , Elisa Fromont , Sébastien Lefevre , Bruno Avignon

We introduce a novel Interval Bound Propagation (IBP) approach for the formal verification of object detection models, specifically targeting the Intersection over Union (IoU) metric. The approach has been implemented in an open source…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Noémie Cohen , Mélanie Ducoffe , Ryma Boumazouza , Christophe Gabreau , Claire Pagetti , Xavier Pucel , Audrey Galametz

Since Intersection-over-Union (IoU) based optimization maintains the consistency of the final IoU prediction metric and losses, it has been widely used in both regression and classification branches of single-stage 2D object detectors.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Hualian Sheng , Sijia Cai , Na Zhao , Bing Deng , Jianqiang Huang , Xian-Sheng Hua , Min-Jian Zhao , Gim Hee Lee

Semantic segmentation datasets often exhibit two types of imbalance: \textit{class imbalance}, where some classes appear more frequently than others and \textit{size imbalance}, where some objects occupy more pixels than others. This causes…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Zifu Wang , Maxim Berman , Amal Rannen-Triki , Philip H. S. Torr , Devis Tuia , Tinne Tuytelaars , Luc Van Gool , Jiaqian Yu , Matthew B. Blaschko

Medical image segmentation is crucial for clinical diagnosis. However, current losses for medical image segmentation mainly focus on overall segmentation results, with fewer losses proposed to guide boundary segmentation. Those that do…

Image and Video Processing · Electrical Eng. & Systems 2023-08-02 Fan Sun , Zhiming Luo , Shaozi Li

In present object detection systems, the deep convolutional neural networks (CNNs) are utilized to predict bounding boxes of object candidates, and have gained performance advantages over the traditional region proposal methods. However,…

Computer Vision and Pattern Recognition · Computer Science 2016-08-05 Jiahui Yu , Yuning Jiang , Zhangyang Wang , Zhimin Cao , Thomas Huang