Geometric Algorithms for Portable devices
Geometric Algorithms for Portable devices
批准号:
17K12635
负责人:
Korman Matias
金额:
$2.5万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Young Scientists (B)
财政年份:
2017
资助国家:
日本
项目状态:
已结题
起止时间:
2017-04-01 至 2020-03-31
中文摘要
由于地点的变化,我们决定在一年的中途中断资助。尽管如此,我们还是实现了一些里程碑式的目标,甚至是计划在2020年和2021年实现的目标:-尽管凸壳的概念众所周知并得到了研究,但其在有障碍物的环境中的扩展从未被研究过。介绍了该问题的复杂性,给出了求解该问题的第一种算法,研究了模块化机器人的通信协议。给定一个机器人的结构,我们感兴趣的是它们的通信,这样它们就可以到达另一个目标形状。尽管这个问题被证明是PSPACE难的(目前正在审查证明),但我们给出了一个建设性的算法,在这种特殊情况下,你可以在外部添加5个帮助机器人。
英文摘要
Due to a change in location, we decided to interrupt the grant halfway through the year. Nonetheless, several of the milestones were achieved, even those planned for 2020 and 2021:-Although the concept of convex hull is well known and studied, its extension to environment with obstacles was never studied. We introduced the problem, showed its complexity and introduced the first algorithm for computing it-We studied the communication protocol for modular robots. Given a configuration of robots, we are interested in them communication so that they can reach another target shape. Although the problem turned out to be PSPACE hard (proof currently under review), we gave a constructive algorithm for the particular case in which you can add 5 helping robots in the exterior.
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Computing the L1 geodesic diameter and center of a polygonal domain
计算多边形域的 L1 测地线直径和中心
DOI:
10.1007/s00454-016-9841-z
发表时间:
2017
期刊:
Discrete & Computational Geometry
影响因子:
0.8
作者:
[S. W. Bae, M. Korman, J. S. B. Mitchell, Y. Okamoto, V. Polishchuk, and H. Wang. . , pages 1-28, 2016]
通讯作者:
2016
Rectilinear link diameter and radius in a rectilinear polygonal domain
直线多边形域中的直线链接直径和半径
DOI:
10.1016/j.comgeo.2020.101685
发表时间:
2021
期刊:
Computational Geometry
影响因子:
--
作者:
[Arseneva Elena, Chiu Man-Kwun, Korman Matias, Markovic Aleksandar, Okamoto Yoshio, Ooms Aur?lien, van Renssen Andr?, Roeloffzen Marcel]
通讯作者:
Roeloffzen Marcel
DOI:
10.1137/17m1136572
发表时间:
2018
期刊:
SIAM Journal on Discrete Mathematics
影响因子:
0.8
作者:
[Chiu Man-Kwun, Korman Matias]
通讯作者:
Korman Matias
DOI:
10.1016/j.amc.2017.04.001
发表时间:
2017
期刊:
Applied Mathematics and Computation
影响因子:
4
作者:
[Claverol Merce, Garijo Delia, Korman Matias, Seara Carlos, Silveira Rodrigo I.]
通讯作者:
Silveira Rodrigo I.
Computing the geodesic centers of a polygonal domain
计算多边形域的测地线中心
DOI:
--
发表时间:
2019
期刊:
Computational Geometry: Theory and Applications
影响因子:
--
作者:
[S. W. Bae, M. Korman, and Y. Okamoto]
通讯作者:
and Y. Okamoto
共 23 条
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