Results 1 to 4 of 4
  1. #1
    Join Date
    Aug 2018
    Lisbon, Portugal
    Thanked 2 Times in 2 Posts

    Antonio's Sketchbook - Spherical perspectives et al


    I do mathematics and I draw - sometimes simultaneously. I've been drawing and researching spherical perspectives lately. They look like this:

    Name:  cubic_room_s.jpg
Views: 908
Size:  100.2 KB

    This is a total (360º) spherical perspective drawing of a cubical room seen from the center. It is drawn in ruler and compass and colored in sketchbook pro.

    People know how to draw these perspectives by ruler and compass since the 1960s, but only up to 180º (so-called "5-point perspectives"). This was a work by two french researchers (Barre and Flocon). When people wanted to do a 360º degree view ("6-point perspective") they just did two of those separately. That's what Dick Termes (of thermesphere fame) used to do in his book, for instance.

    What I did was to generalize the work of these people to 360º so as to draw a full view (by hand - computers could do it easily of course) into a single round canvas, and not just gridding an guessing, but finding all the vanishing points, just as in classical perspective (here's a picture of my building's stairway with some vanishing points shown):

    Name:  stairs_xs.jpg
Views: 905
Size:  146.4 KB

    I described the method in this paper:

    Ruler, compass and nail: Constructing a total spherical perspective, Journal of Mathematics and the Arts, 2018

    (by the way, the journal made the paper free access during august, so download the pdf today if you think you'll have use for it later)

    The paper is a bit too mathematical (also, articles have page limits!), so I wanted to do some easier tutorials and drawing experiments to suplement it ; mostly drawings and videos with commented examples, relating special tricks plus the difficulties I still find in doing this (I'm definitely still learning and struggling). I though it might fit well in a conceptart sketchbook, so I finally opened one. We'll see how this goes. The purpose will be to dump the formality of drawings such as these (view of the reading room of the british museum)

    Name:  spherical perspective of brit museum_s2.jpg
Views: 901
Size:  290.0 KB

    ...and get more and more to do simpler drawings such as the one below (crop of a 360º of the af chapman ship/hostel) where measurements are inexact, drawn casually on location, but still loosely grounded on the principles of the perspective.

    Name:  af deck scan s.jpg
Views: 913
Size:  396.4 KB

    Anyway, I think this is probably enough for a first post. Hope some of you will find this interesting and/or useful.

    All the best,

  2. Hide this ad by registering as a member
  3. The Following User Says Thank You to AntonioAraujo For This Useful Post:

  4. #2
    Join Date
    Aug 2018
    Korea, south
    Thanked 12 Times in 11 Posts
    Your sketches are so amazing! The perspective looks so good, also very intricate
    Welcome to!

  5. #3
    Join Date
    Aug 2018
    Lisbon, Portugal
    Thanked 2 Times in 2 Posts
    Thank you!
    I tend to be too intricate, in fact, and then I take too long to get going. I'll do my best to get some tutorials up, ASAP, even if I have to be more sketchy about it

  6. #4
    Join Date
    Aug 2018
    Lisbon, Portugal
    Thanked 2 Times in 2 Posts
    Here is a step-by-step (well, some steps anyway) of an immersive 360-degree drawing of the inner courtyard of ISEL's school of engineering in Lisbon, Portugal.

    This one is done in equirectangular spherical perspective. It is still a total spherical perspective but renders onto a rectangle instead of a circle. You probably have seen it before since it is the projection most commonly used by 360-degree cameras. It turns out that this perspective can also be done by hand (ruler, compass and a protractor). I have solved that here (this article is free access forever unlike the previous one). After rendering you can send these drawings to flickr and see them "from inside" as you do with 360-photos and video. Basically what the software does is this: it wraps the drawing back onto the sphere surface and puts you in the center of the sphere looking out. Just imagine being in the center of a termesphere, but done virtually instead of physically (less charming but far more convenient).

  7. The Following User Says Thank You to AntonioAraujo For This Useful Post:

Similar Threads

  1. SketchBook: Antonio Arruda's sketchbook
    By Atoa in forum Sketchbooks
    Replies: 15
    Last Post: October 2nd, 2013, 09:46 PM
  2. SketchBook: Juan Antonio's Sketchbook
    By Juanan G. Bocos in forum Sketchbooks
    Replies: 47
    Last Post: January 1st, 2012, 07:22 PM
  3. SketchBook: Antonio Quinonez -- Time for a new sketchbook
    By antquin in forum Sketchbooks
    Replies: 0
    Last Post: October 27th, 2007, 02:24 AM
  4. Spherical perspective
    By Number_6 in forum Artist Lounge
    Replies: 19
    Last Post: May 6th, 2006, 08:30 AM
  5. Art: Spherical Perspective
    By treeshark in forum Finished Art
    Replies: 5
    Last Post: April 15th, 2004, 02:34 PM

Members who have read this thread: 12

Tags for this Thread


Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
Designed by The Coldest Water, we build the coldest best water bottles, ice packs and best pillows.