Discrete Differential Geometry - Helping Machines (and People) Think Clearly about Shape

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  • čas přidán 10. 09. 2024

Komentáře • 28

  • @jojodi
    @jojodi Před 12 lety +11

    After reading your papers, class notes, etc, all I have to say is.. Please write a book on Differential Geometry / DEC. Your language and illustrations/diagrams are insanely helpful, especially compared to the alternatives.

  • @summeryoung88
    @summeryoung88 Před 8 lety +6

    Very intuitive lecture, which shows the "classic but intuitive" way of illustrating mathematical ideas.

    • @gregjacques6051
      @gregjacques6051 Před 6 lety +1

      yes, intuition is gold. that was einstein's gift, even more than just his IQ alone.

  • @DiegoAndrade
    @DiegoAndrade Před 9 lety +5

    Keenan what a great talk ! The first part is something I am workingon as well and the last part electron movements on a bunny it was a great "finale"

  • @quietforawhile
    @quietforawhile Před 4 lety +1

    Just wow, went from rango to qm in 50 minuts. Great talk.

  • @Kram1032
    @Kram1032 Před 12 lety

    You are amazing! You explain all those sometimes quite involved subjects in such an intuitive way while basically reforming very important concepts for both CG-industry and physics research!

  • @kaushaltimilsina7727
    @kaushaltimilsina7727 Před 4 lety

    Wow! Just really fascinating, incredible but also very applied research. Awesome work!

  • @johnnewman6336
    @johnnewman6336 Před 7 lety

    excellent! good primar for General Relativity and spherical wave forms used in quantum mechanics

  • @mexamexo8
    @mexamexo8 Před 10 lety +6

    sphere rango is amazing

  • @rfabbri
    @rfabbri Před 10 lety +1

    very cool talk which I not only enjoy but can still share with my students.

    • @rfabbri
      @rfabbri Před 10 lety

      the only (minor) suggestion I can think of: I'd improve the Gauss-Bonnet explanation - it could perhaps be made more intuitive geometrically.

    • @wither8
      @wither8 Před 8 lety

      Or just use the generalized curvature measure for n-dimensional Riemannian surfaces and teach Ricci flow from the get go

  • @necrowizzard
    @necrowizzard Před 10 lety +5

    haha, couldnt stop laughing about the burger

  • @raydredX
    @raydredX Před 12 lety +1

    18:14 I haven't finished watching but holy crap!!! that reminds of spin in physical particles.
    If anyone can give me some resources of how to calculate the spin of singularities or something related to this please do. Thanks.

  • @paul1964uk
    @paul1964uk Před 10 lety

    16:30 Does that work if the atmosphere is treated as 3d volume surrounding the globe rather than just as a surface without vertical wind velocity?

  • @thcoura
    @thcoura Před 7 lety +1

    Outstanding! Congrats

  • @EivindDahl
    @EivindDahl Před 11 lety

    Amazing! I would love a more in depth intuitive investigation of the Dirac-equation. Do you suspect any difficulty generalizing your work on discrete d.g. on surfaces to simplicial complexes of higher dimension? To abstract simplicial sets for that matter, as one might expect a lot of problems do not need explicit coordinates for the vertices. I would love to see a discrete connection on the discreet phase space of motions of a swimming fish as the workhorse in a 3D motion picture one day.

  • @sicktoaster
    @sicktoaster Před 8 lety +1

    ~12:00
    It seems like he didn't even use the integral. He solves it just as if it were K=2pi(2-2g) without the integral.

    • @mdreid
      @mdreid Před 8 lety +3

      +sicktoaster If you listen to what he's saying at that point ("looked all over the surface and added up all the numbers" - i.e., integrating K over the surface) he is first evaluating the integral and then solving.

    • @sicktoaster
      @sicktoaster Před 8 lety

      +Mark Reid
      I see it now. Thanks.

  • @gregjacques6051
    @gregjacques6051 Před 6 lety +1

    omg it's lucy liu! it is!! i loved her in Charlie's Angels.

  • @SpenserF
    @SpenserF Před 11 lety

    53:10 where can I find more information explaining why this happens?

  • @therealjordiano
    @therealjordiano Před 11 lety

    interesting lecture :) don't rly get much of it but oh well xD

  • @montfort9581
    @montfort9581 Před 2 lety

    I guessed "bunny" correctly at the end.

  • @mahdinezam
    @mahdinezam Před 11 lety

    @SpenserF

  • @Nah_Bohdi
    @Nah_Bohdi Před 2 lety

    Septagon of suffering!