Earlier quoted context omitted.
I took a linear algebra course. Maybe I need to restudy but I would rather have links to exact chapters than reading the whole thing, as I don't see a direct path from the linear algebra I studied to the topology concepts and geometry here. Specifically there weren't any curves in linear algebra. Ex 4.10 and 4.11 here: http://planning.cs.uiuc.edu/node143.html Are examples of things that are hard for me to understand.…
You have to study quite a lot of linear algebra before you can tackle functional analysis, the subject which includes the study of topological vector spaces. I don't know anything about robotics, however, so I don't know how functional analysis would apply, if at all.
Modern Robotics: Mechanics, Planning, and Control – Free Textbook (2017)
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Re: Modern Robotics: Mechanics, Planning, and Control – Free Textbook (2017)
#22Re: Modern Robotics: Mechanics, Planning, and Control – Free Textbook (2017)
#23Re: Modern Robotics: Mechanics, Planning, and Control – Free Textbook (2017)
#24The topology part of these textbooks is the hardest for me. Understanding the 2d representations of the shapes. Where can one get a more bottom up explanation of the crucial topology concepts? Also bad at geometry in general
As a start, I recommend reading about Winding Numbers. I've found that to be the most important topology concept for 2d geometry. Computational Geometry is probably deeper than you want to go, but it would answer most of your questions. For curves, I recommend a Numerical Methods reference. Honestly, wander around Wikipedia links starting from topics like winding numbers and spatial partitioning, and you'll probably…
Re: Modern Robotics: Mechanics, Planning, and Control – Free Textbook (2017)
#25Whilst this is interesting, this isn't where the field is going. This is useful if, say, you want to make a CNC robot with extreme rigidity. Replacing forward and inverse kinematics with machine learning is extremely simple, and avoids most of the problems these formulas have (for instance, they don't consider that a robot might attempt to move through itself). And while grasping and manipulation isn't simple even wi…
Could you point towards a good paper or review paper on using machine learning models to learn forward and inverse kinematics? How far can one get with plain old LSTMs?
Re: Modern Robotics: Mechanics, Planning, and Control – Free Textbook (2017)
#26Are robotics courses these days not covering flight-related topics? It seems like they should, given the state of drone/uav technology.
Re: Modern Robotics: Mechanics, Planning, and Control – Free Textbook (2017)
#27Thanks. I will highly recommend reading this textbook along with RM Murray's "A Mathematical Introduction to Robotic Manipulation" [1]. Both of these textbooks provide very intuitive and clear cut explaination of principles behing robotic motion and planning. I would also highly recommend completing a 5-course specialization on Coursera [2] by the same name as the first textbook. The course is conducted by the author…