An NSF Workshop on Mathematics and Robotics

研究者和他的同事们组织了一个研讨会，探讨工程师、计算机科学家和数学家之间在机器人技术方面的协同合作机会。研讨会将工程师、计算机科学家和数学家聚集在一起，讨论机器人研究需求的例子，寻找共同的主题，并探索植根于数学的新想法，这些想法可以推动这一领域的发展。研讨会的一个主要成果是一份报告，该报告总结了目前的艺术状态，并列出了未来合作研究的机会。机器人技术涉及机械操纵器的设计，控制它们所需的系统，以及各种应用，如材料处理，组装，极端环境下的探索，假肢和微创手术。为了解决这些问题，机器人技术中的问题大量地借鉴了工程学和计算机科学的技术和思想。越来越明显的是，在重大未决问题上取得进展需要更多地参与现代数学。这个研讨会将工程师、计算机科学家和数学家结合在一起，共同探索机器人技术的需求和机会。该研讨会报告有望激发研究人员之间的新互动，以及对这类重要问题的新见解和新方法。

The investigator and his colleagues organize a workshop toexplore opportunities in robotics for synergistic collaborationsamong engineers, computer scientists, and mathematicians. Theworkshop brings together engineers, computer scientists, andmathematicians to discuss examples of research needs in robotics,to look for common themes, and to explore new ideas, rooted inmathematics, that could advance this area. A major product of theworkshop is a report that summarizes the present state of the artand that lays out future opportunities for collaborativeresearch. Robotics is concerned with the design of mechanicalmanipulators, the systems needed to control them, and variousapplications such as materials handling, assembly, exploration inextreme environments, prosthetics, and minimally invasivesurgery. For their solution, problems in robotics have drawnheavily on techniques and ideas from engineering and computerscience. It is becoming apparent that progress on significantopen problems requires greater involvement of modern mathematics.This workshop combines engineers, computer scientists, andmathematicians in a joint exploration of needs and opportunitiesin robotics. The workshop report is expected to stimulate bothnew interactions among researchers and new insights andapproaches to this important class of problems.