Autonomous Path Planning

Github Repo w/ Python Code to Solve this problem: github.com/twa...
This video explains a way to mathematically find paths in space that avoid obstacles. It is assumed you have an understanding of at least calculus, but differential equations is also useful. Another video will be posted that utilizes the equations derived in this video in a computer program to actually make paths (here we just derive differential equations that the paths satisfy). Sorry I can't keep track of my greek alphabet but you get the point

[@danh7203]

Ya know, some 30 years ago, I took multi-var calc and diff eq. I remember learning Euler-Lagrange equation and thinking "When the crap am I ever going to use this?" Well... today is that day!

[@kevinchou4147]

good explanation and impressive greek writting style!

[@neelshah9349]

I must say that you explained the topic very well. Thank you.

[@womanescence4931]

This is so brilliantly explained!! Thank you so much!!!

[@torenwallengren1714]

Glad you found it informative! Thank you for the kind words.

[@thegeekypeach5603]

:D x2

[@danh7203]

Awesome video. Thank you for sharing!

[@kid-vf4lu]

Good job! You're a natural at explaining
Can you shared your sources?

[@torenwallengren1714]

Thank you! I learned about the functional derivative and various applications through the books "Calculus of Variations" by Gelfand and Fomin and a book of the same title by Robert Weinstock. But the rest of the stuff in the video I figured out on my own (I'm sure it's been done before, but I haven't looked too deeply into that). I've been meaning to post a video of a program that actually creates paths through obstacles to show the equations work, but have not gotten around to it.

[@ccli5701]

I just love the title.
But you are sketching.

[@iffatjamil2976]

Hello! Can you provide an explanation on RVO(Reciprocal Velocity Obstacles)and ORCA(Optimal Reciprocal Collision Avoidance)? Particularly RVO, in a way that exaplain yhis, I mean with mathematical equations so it will be easy to implement as a program

[@MohamedWMehrez]

Hi, Thank you for the video. I was wondering if this method can work for multiple robots as well.

[@harishkumaranandan5946]

Dear Toren:
I went through the Path Planning video,it is really nice and interesting one. Can you let me know the simulation video so that i can get the complete outcome.

[@torenwallengren1714]

Thanks! I've actually already finished the program that creates paths using these equations and I intend to post a video showing solutions within the next few days.

[@harishkumaranandan5946]

That sounds good! I appreciate that, is there a way to connect with you except here ?

[@harishkumaranandan5946]

Hi Tore, can you share me the link of the above said program. Thank you!

[@torenwallengren1714]

Hey sorry it's taken so long, but here it is finally: ruclips.net/video/YenHzVpw6Rw/видео.html

[@hanna7657]

Hello! When will you upload the simulation video? :)

[@torenwallengren1714]

Just did it! ruclips.net/video/YenHzVpw6Rw/видео.html

[@hanna7657]

I have some questions do you have an email I can get? Br

[@torenwallengren1714]

Hanna sure! Send them to [e-mail]

[@rexiri1032]

@@torenwallengren1714 I was wondering if you could upload the messy algebra for part 38:30 in the video?