We give an overview of the 2021 Computational Geometry Challenge, which targeted the problem of optimally coordinating a set of robots by computing a family of collision-free trajectories for a set set S of n pixel-shaped objects from a given start configuration into a desired target configuration.
Nav-SCOPE: Swarm Robot Cooperative Perception and Coordinated Navigation
Department of Automation, Tsinghua University（自动化系，清华大学）；Beijing National Research Center for Information Science and Technology, Tsinghua University（北京信息科学与技术国家研究中心，清华大学）；School of Mechanical and Electrical Engineering, Beijing Information Science and Technology University（机械与电子工程学院，北京信息科学与技术大学）
Autonomous Oil Spill Response Through Liquid Neural Trajectory Modeling and Coordinated Marine Robotics
Swarm \& AI Lab (SAIL), Hatter Department of Marine Technologies, Leon H. Charney School of Marine Sciences, University of Haifa, 199 Aba Khoushy Ave, Mount Carmel, Haifa 3498838, Israel
Design of a Formation Control System to Assist Human Operators in Flying a Swarm of Robotic Blimps
Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology（香港科技大学电子与计算机工程系）；School of Software Engineering, Beijing Jiaotong University（北京交通大学软件学院）；Department of Electronic Engineering, Sunchon National University（全州国立大学电子工程系）；Department of Computer Science, Emory University（埃默里大学计算机科学系）
Melding LLM and temporal logic for reliable human-swarm collaboration in complex scenarios
School of Advanced Manufacturing and Robotics, Peking University（北京大学先进制造与机器人学院）；Division of Natural and Applied Sciences, Duke Kunshan University（杜克昆山大学自然与应用科学学院）；School of Automaton, Southeast University（东南大学自动化学院）；School of Automation Science and Electrical Engineering, Beihang University（北航自动化科学与电气工程学院）
Learning to Navigate in Turbulent Flows with Aerial Robot Swarms: A Cooperative Deep Reinforcement Learning Approach
University of Pennsylvania（宾夕法尼亚大学）；Amazon Robotics（亚马逊机器人公司）；Universidad Santo Tomas（圣托马斯大学）；Bethune Cookman University（白求恩-库克曼大学）；Lehigh University（利哈伊大学）
Coordinated Motion Planning Through Randomized k-Opt
Department of Computer Science, Stanford University（斯坦福大学计算机科学系）；Department of Computer Science, University of Waterloo（滑铁卢大学计算机科学系）；Department of Computer Science, University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校计算机科学系）
Position-Based Flocking for Persistent Alignment without Velocity Sensing
Department of Cybernetics, Czech Technical University in Prague（捷克技术大学普拉茨分校自动化系）；Aksaray University（阿克萨雷大学）；Mechanical and Aerospace Engineering, Old Dominion University（旧 Dominion 大学机械与航空航天工程系）；Istanbul Technical University（伊斯坦布尔技术大学）；The Daniel Guggenheim School of Aerospace Engineering, Georgia Institute of Technology（佐治亚理工学院丹尼尔·古根海姆航空航天工程学院）；Mechatronics Engineering Department, Isparta University of Applied Sciences（伊斯帕塔应用科学大学机电工程系）；Department of Electrical and Computer Engineering, University of Mohaghegh Ardabili（莫哈格赫·阿尔达比大学电子与计算机工程系）；Czech Technical University in Prague（捷克技术大学普拉茨分校）
Unveiling Complex Collective Behaviors from Simple Rewards
College of Computer Science and Technology, Zhejiang University（浙江大学计算机科学与技术学院）；WINDY Lab, School of Engineering, Westlake University（西湖大学工程学院风语实验室）；Shanghai AI Laboratory（上海人工智能实验室）；Max Planck Institute of Animal Behavior（马克斯·普朗克动物行为研究所）；Department of Computer and Information Science, University of Konstanz（康斯坦茨大学计算机与信息科学系）；Centre for the Advanced Study of Collective Behaviour, University of Konstanz（康斯坦茨大学集体行为高级研究中心）；Department of Biology, University of Konstanz（康斯坦茨大学生物系）
