颠簸下上
发表于 2025-3-23 10:15:11
Textbook 19961st editioned to illustrate these ideas are taken from robotics. So, unlike most standard texts on Lie groups, emphasis is placed on a group that is not semi-simple-the group of proper Euclidean motions in three dimensions. In particular, the continuous subgroups of this group are found, and the elements of it
ONYM
发表于 2025-3-23 14:20:39
http://reply.papertrans.cn/39/3837/383657/383657_12.png
胆小懦夫
发表于 2025-3-23 21:44:10
http://reply.papertrans.cn/39/3837/383657/383657_13.png
CAJ
发表于 2025-3-23 23:28:00
http://reply.papertrans.cn/39/3837/383657/383657_14.png
催眠药
发表于 2025-3-24 04:37:42
0172-603X o be quite fashionable at the moment, but most of the robotics books that touch on these topics tend to treat Lie groups as little more than a fancy notation. I hope to show the power and elegance of these methods as they apply to problems in robotics. A subsidiary aim of the book is to reintroduce
蛰伏
发表于 2025-3-24 08:01:04
https://doi.org/10.1007/978-1-349-08544-6Galois had developed a method to determine whether an algebraic equation can be solved by radicals. Although the work was done before 1832, it was not until 1843 that it gained a wide audience when it was popularised by Liouville.
情爱
发表于 2025-3-24 11:49:18
Economies of Collaboration in Performancey worry about the extrinsic geometry of ruled surfaces—that is, how such surfaces can sit in three dimensions—their curvature, and so forth. Symplectic geometers have all but forgotten that their subject began with the study of the symmetries of line complexes.
Commonwealth
发表于 2025-3-24 17:00:23
http://reply.papertrans.cn/39/3837/383657/383657_18.png
反对
发表于 2025-3-24 23:00:56
A Little Kinematics,vectors v., v. and v.. These are the home positions of the axes, and we will assume that these vectors are linearly independent. If the home position of the wrist has linearly dependent joint axes, then we can always move it a little and use a non-singular home position.
incredulity
发表于 2025-3-25 00:51:34
http://reply.papertrans.cn/39/3837/383657/383657_20.png