Strength
What it is useful for
- More appropriate than ADD for common symmetric objects.
- Retains an intuitive distance interpretation in 3D model space.
6DoF / model-point distance · error
Average Closest Point Distance
Relaxes point identity: each ground-truth point is matched to the nearest point in the predicted model.
ADD-S uses nearest-point matching to reduce ambiguity from rotational symmetry or repeated structures. It is common on datasets such as YCB-Video.
Principle
The formulas define the computation. The diagrams show whether the error concerns a 3D model, visible surfaces, the image plane, or aggregation across thresholds.
Rotating an axially symmetric cup by 180° may yield an equivalent pose; ADD-S no longer requires the same CAD point to align with its exact counterpart.
It can also reduce errors for locally repeated shapes that are not strictly symmetric.
How to compute
Transform the ground-truth and predicted model point sets separately.
For each ground-truth point, find the nearest neighbor in the predicted point set.
Average nearest-neighbor distances, then obtain error, recall, or AUC according to the protocol.
Strength
Caveat
Paper atlas
Links are derived by normalizing the metric names used in each paper. Directly reported metrics are distinguished from metrics associated through a broader protocol.
ICRA / IEEE RA-L · Thomas Jantos, Stephan Weiss, Jan Steinbrener
ICRA / IEEE RA-L · Oussama Abdul Hay, Xiaoqian Huang, Muhammad Ahmed Humais et al.
ICRA · Xingjian Yang, Ashis G. Banerjee
CVPR · Liming Kuang, Yordanka Velikova, Mahdi Saleh et al.
AAAI · Dexin Zuo, Ang Li, Wei Wang et al.
CVPR · Nassim Ali Ousalah, Peyman Rostami, Vincent Gaudillière et al.
ICRA / IEEE RA-L · Xiangting Meng, Jiaqi Yang, Mingshu Chen et al.
CVPR · Taegyoon Yoon, Yegyu Han, Seojin Ji et al.
CVPR · Jae-Young Kang, Hoonhee Cho, Taeyeop Lee et al.
ECCV · Hui Yang, Wei Sun, Jian Liu et al.
ICRA / IEEE RA-L · Seunghyeok Back, Joosoon Lee, Kangmin Kim et al.
ICRA / IEEE RA-L · Yibo Liu, Zhaodong Jiang, Binbin Xu et al.
ECCV · Siddhant Bansal, Zhifan Zhu, Shashank Tripathi et al.
arXiv · Jongbin Lim, Taeyun Ha, Mingi Choi et al.
IJCV · Jian Liu, Wei Sun, Hui Yang et al.
CVPR · Yating Liu, Zhaoshuai Qi, Yang Zou et al.
ECCV · Tzu-Yuan Lin, Ho Jae Lee, Kevin Doherty et al.
CVPR · Wubin Shi, Shaoyan Gai, Feipeng Da
ICRA · Wen Yang, Zhixian Xie, Yiting Wang et al.
AAAI · Jun Zhou, Chi Xu, Kaifeng Tang et al.
ICCV · Yufeng Jin, Vignesh Prasad, Snehal Jauhri et al.
CVPR · Taeyeop Lee, Bowen Wen, Minjun Kang et al.
ICCV · Yuanhong Yu, Xingyi He, Chen Zhao et al.
CVPR · Jingnan Shi, Rajat Talak, Harry Zhang et al.
ICCV · Jinghao Wang, Zhang Li, Zi Wang et al.
IROS · Tingbang Liang, Yixin Zeng, Jiatong Xie et al.
ICCV · Shaobo Zhang, Yuhang Huang, Wanqing Zhao et al.
3DV · Dingding Cai, Janne Heikkilä, Esa Rahtu
CVPR · Tuo Cao, Fei Luo, Jiongming Qin et al.
IROS · Sai Srinivas Jeevanandam, Sandeep Inuganti, Shreedhar Govil et al.
ICRA · Lukas Mack, Felix Grüninger, Benjamin A. Richardson et al.
ICRA · Jingyang Liu, Zhenyu Lu, Lu Chen et al.
CVPR · Tao Tan, Qiulei Dong
CVPR · Mengya Liu, Siyuan Li, Ajad Chhatkuli et al.
ICCV · Junwen Huang, Shishir Reddy Vutukur, Peter KT Yu et al.
CVPR · Qingyuan Wang, Rui Song, Jiaojiao Li et al.
CVPR · Ming-Feng Li, Xin Yang, Fu-En Wang et al.
IROS · Nassim Ali Ousalah, Anis Kacem, Enjie Ghorbel et al.
IROS · Ruyi Lian, Yuewei Lin, Longin Jan Latecki et al.
ICRA · Hongyu Li, James Akl, Srinath Sridhar et al.
ICRA · Jianqiu Chen, Zikun Zhou, Xin Li et al.
IEEE TCSVT · Jianqiu Chen, Zikun Zhou, Mingshan Sun et al.
CVPR · Li Xu, Haoxuan Qu, Yujun Cai et al.
3DV · Panwang Pan, Zhiwen Fan, Brandon Yushan Feng et al.
ECCV · Jingyi Tang, Gu Wang, Zeyu Chen et al.
CVPR · Bowen Wen, Wei Yang, Jan Kautz et al.
CVPR · Yongliang Lin, Yongzhi Su, Praveen Nathan et al.
WACV · Yangzheng Wu, Michael Greenspan
CVPR · Jingtao Sun, Yaonan Wang, Mingtao Feng et al.
WACV · Janis Rosskamp, Rene Weller, Gabriel Zachmann
AAAI · JongMin Lee, Yohann Cabon, Romain Brégier et al.
ICRA · Arul Selvam Periyasamy, Sven Behnke
CVPR · Yuelong Li, Yafei Mao, Raja Bala et al.
3DV · Shishir Reddy Vutukur, Heike Brock, Benjamin Busam et al.
IROS · Francesco Milano, Jen Jen Chung, Hermann Blum et al.
CVPR · Jaime Corsetti, Davide Boscaini, Changjae Oh et al.
ECCV · Yang You, Kai Xiong, Zhening Yang et al.
ECCV · Yangzheng Wu, Michael Greenspan
CVPR · Jiehong Lin, Lihua Liu, Dekun Lu et al.
IROS · Kun Qian, Mustafa Suphi Erden, Xianwen Kong
3DV · Debapriya Maji, Soyeb N. Nagori, Manu Mathew et al.
arXiv · Fabian Duffhauss, Tobias Demmler, Gerhard Neumann
3DV · Van Nguyen Nguyen, Yuming Du, Yang Xiao et al.
arXiv · Arash Amini, Arul Selvam Periyasamy, Sven Behnke
CVPR · Yisheng He, Haibin Huang, Haoqiang Fan et al.
CVPR · Gu Wang, Fabian Manhardt, Federico Tombari et al.
ECCV · Yann Labbé, Justin Carpentier, Mathieu Aubry et al.
CVPR · Yisheng He, Wei Sun, Haibin Huang et al.
CVPR · Chen Wang, Danfei Xu, Yuke Zhu et al.
ICCV · Sergey Zakharov, Ivan Shugurov, Slobodan Ilic
CVPR · Sida Peng, Yuan Liu, Qixing Huang et al.
CoRL · Jonathan Tremblay, Thang To, Balakumar Sundaralingam et al.
RSS · Yu Xiang, Tanner Schmidt, Venkatraman Narayanan et al.
CVPR · Bugra Tekin, Sudipta N. Sinha, Pascal Fua
ICCV · Wadim Kehl, Fabian Manhardt, Federico Tombari et al.
Next
Compare metrics at the same level to understand why one score improves while another stays unchanged.
Average Distance of Model Points
Symmetry-dependent ADD Reporting Protocol
Area Under the ADD Recall Curve
Maximum Symmetry-Aware Surface Distance