Spherical Perspective Tutorial 1: The Sliding Grid Method for Equirectangular Spherical Perspective

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  • Опубліковано 22 сер 2024
  • A neat "trick" I created for equirectangular perspective sketching:
    -The usual fixed grid method allows you to draw horizontals and verticals going to the 4 cardinal points.
    -The "sliding grid" method I show you here allows you to draw any line, given two points. I'll show you how to do it in this video. For why it works check out the paper where I introduced this method:
    www.univ-ab.pt/...
    note: this perspective is also sometimes called curvilinear perspective, 6-point perspective, or spherical perspective. In fact there are many spherical perspectives, and this is the "equirectangular spherical perspective", a specific type of spherical perspective. One of these days we will talks about the other types.

КОМЕНТАРІ • 38

  • @rach3lBby
    @rach3lBby 4 місяці тому +1

    This is so insightful but I especially appreciate how you explain a high level reasoning behind the math involved here. Thank you so much for sharing!

  • @spindleblood
    @spindleblood 2 роки тому +13

    This just blew my mind! I'm an engineer but we never learned hand drafting just CAD. I recently started to take some art classes including perspective drawing. I really want to try this now! Cheers! 🍻

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  2 роки тому +7

      Thank you Kate! Do let me know about the results. I always get a kick from knowing I am spreading the practice. About "just CAD": the urban sketchers group has a lot of architects that come there as refugees of "just CAD" or "just BIM", and engineers also feel this need. Computers are of course fine tools but schools forgot that handmade drawing is a mode of thinking, so you don't want to have the computer do it for you all the time, no matter how efficient it is, for the same reason you wouldn't want another person to think for you even if that person was smarter than you. We feel great when we draw because we are stretching a mental muscle we forgot we had. :)

    • @shitheadjohnson2797
      @shitheadjohnson2797 2 роки тому +3

      @@antoniobandeiraaraujo yeh thats excellent im just getting introduced to the wonderful world of not having a comp around with me doing 3d, something i never thought of before much.

  • @ethanhong5466
    @ethanhong5466 2 роки тому +6

    Learning about perspective is my favorite part about drawing right now this is so dope thank you man

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  2 роки тому

      Glad you enjoyed it! There's a bunch more to come, if only I can find the time!

  • @deanamontgomery7410
    @deanamontgomery7410 4 роки тому +7

    Thank you so much for this video. Your explanation and instruction has helped me immensely.

  • @yaanglu
    @yaanglu 3 роки тому +3

    Very helpful video..... Thank you very much for this..... been through many content to understand this perspective and everything went over my head. .... yours was the best.....

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  3 роки тому +1

      My pleasure, Doc. I'll be adding more as soon as my schedule allows. Meanwhile you can try my papers, but they are a bit heavy in maths. This video is a first attempt at spreading the kind of thing I've been doing in workshops since 2015 or so. The workshops can only reach so many people, of course; I think lots more will profit from the videos.

  • @v.ra.
    @v.ra. 2 роки тому +2

    such a fantastic explanation. just perfect

  • @lunaceee
    @lunaceee 4 роки тому

    I wish I had watched this video before the 360 sketch workshop this morning, lol...super helpful, thank you!

  • @AbiNomac
    @AbiNomac Рік тому +1

    I have been looking to learning this. THANK YOU

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  Рік тому

      I had missed your comment. So glad you found what you were looking for. Check out the latest episode (tutorial 4) for a main trick of spherical perspective. It's the most important techique since the sliding grid.

    • @AbiNomac
      @AbiNomac Рік тому +1

      @@antoniobandeiraaraujo -I will. Thank you

  • @maherco61
    @maherco61 3 роки тому +4

    The Greatest explanation ever👌, can you make a perspective explanation series? It would be very amazing and helpful💪💪💪

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  3 роки тому +3

      Thank you! :) I have planned on making such a series since at least 2015, but I've been always too busy and frankly I feel I kind of suck at making videos, compared to live lecturing. It takes me a long time to make a video and I feel I still sound weird in the end. But the fact is that videos can reach so many people that can't come to my lectures, and messages like yours make me feel like trying it again. So I'll give it a shot as soon as I can. :) There's a lot I want to share that isn't written on my published papers.

    • @maherco61
      @maherco61 3 роки тому +1

      @@antoniobandeiraaraujo a tip do not focus on editing the video at all, treat it like a regular lecture and it will be fine👌💪💪💪

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  3 роки тому +1

      @@maherco61 I considered that, but then it tends to get too long, without the engagement of looking people in the eye to keep them awake. Then again people seem to be patient enough to listen to podcasts that ramble for an hour or more (I certainly do). I might try that, it would certainly be a lot easier for me.

    • @maherco61
      @maherco61 3 роки тому +1

      @@antoniobandeiraaraujo looking forward to see your vids man, best of luck💪💪💪

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  3 роки тому

      @@maherco61 Thanks! :)

  • @mappgirl
    @mappgirl 3 роки тому +1

    Excellent!

  • @shitheadjohnson2797
    @shitheadjohnson2797 2 роки тому +1

    theres a little eye'in to do! i think i like it.

  • @acybernaut5712
    @acybernaut5712 Рік тому +1

    Euclid would be proud. This was glorious.
    Just a pity that it could've been made in Portuguese as well. Just a suggestion, would you consider a dub?

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  Рік тому

      "Euclid would be proud." That is a very perceptive comment, as it took me a while to realize that my work is in a sense a redux of Euclid. Not of his famous Elements, of course, but of his smaller and very misunderstood book, the Optics. And I do dare to hope that he would like it. :) So, thank you!

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  Рік тому

      As for the dub, I thought of doing one, but first things first: I have a bunch of videos waiting to come out, and I have to gather wisely the little specks of free time that I manage to scrape from classes, family, and the endless academic bureaucracy...

  • @michaelbutterfield8739
    @michaelbutterfield8739 2 роки тому +1

    MikeB

  • @Mordred14394
    @Mordred14394 2 роки тому +1

    subscribing to learn more…

  • @trigestigro4707
    @trigestigro4707 3 роки тому +2

    Thats similar to what I used to draw to make textures for toribash.

    • @antoniobandeiraaraujo
      @antoniobandeiraaraujo  3 роки тому +2

      Equirectangular has many uses. :) And now I learned what toribash is, and I just have to try it! :)

    • @trigestigro4707
      @trigestigro4707 3 роки тому +3

      @@antoniobandeiraaraujo totally deserves a chance. Super fun game and you can make cool custom skins using equirectangular perspective :D