Everything about Perspective & Correct Mathematical use of Vanishing Points | Perspective Drawing

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What is a Vanishing Point? How does Perspective work?
These questions will be answered complete and utterly and with great detail.

If you just came here for the QUICK USE OF VANISHING POINTS:
Go to 24:38. You can ignore the talk about infinite spheres. The View Plane is basically an infinite paper on that you draw, and that contains the Vanishing Points, that mostly are outside of your image/canvas. That should do for you to understand everything.

If you just came here for the REALLY QUICK USE OF VANISHING POINTS:
-The triangle of Vanishing Points has no angles greater than 90°.
-The middle of the image is the orthocenter of the Vanishing Point triangle.
-If you draw too far, it looks distorted.

0:00 Introduction
2:00 Motivation & Paradox
5:26 Vanishing Points
9:16 Projections
10:16 Parallel Perspective
11:48 Linear Perspective
15:00 View Plane
16:22 Fisheye
20:00 Paradox Solution
21:26 Application of Linear Perspective and Vanishing Points
21:35 How many Vanishing Points are there
24:10 1-, 2-, 3-point-perspective at one glance
24:38 How/Where to place the Vanishing Points on the View Plane
25:28 Place Vanishing Points, look where the Canvas is
28:01 Why 60°?
31:38 Place Canvas, look where the Vanishing Points can be
33:00 All rules + causes at one glance
34:13 90° cases and how to deal with far away Vanishing Points
36:44 Horizon
39:02 Facts, Tricks, Implications
39:26 End

Over 200 hours, I don't know if I ever again make a video... :0

Thank you!

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READ AFTERWARDS:



Now: In the video I did not distinguish clearly enough between static and dynamic view. Dynamic view means what you see when you look around - just as in the example with the wall. Static view is what you see when you do not look around, basically a screenshot of your vision.
As I demonstrated, dynamic view leads to fisheye (taking fisheye as 'some curving' - there may be more restrictive definitions). But, and this is where the video is not clear enough and mixes it up a bit, two things: 1. static and dynamic view are not the same. 2. Nonetheless, static view is also a fisheye! (again, taking it as 'some curving'). One argument, that it cannot be plain linear perspective, and that at the rim at least some curving needs to take place goes like this: Stretch your arms to the left and right, and look straight. Now, you should be able to see your fingers at your left and right hand, at the same time, at the rim of your vision. Maybe you need to move your fingers a bit, but you should be able to see them - at the same time! This setup confirms, that your viewing angle is around 180°, maybe even a bit above. And this is impossible for linear perspective. For linear perspective, the absolute maximum viewing angle is 180°, and if you take that much, the canvas and the distortion is infinite. This argument forces, that at least some curving takes place in our static view.
For other arguments, you may have a look here (on google scholar I found barrier free access):
If you want to research further, Perceptive Perspective is the term you are looking for.

phipsart
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My dear sir, as a person with an analytical, overthinking mind who can’t just “wing things”, this video is heaven to me. Thank you for your hard work ❤.

snoopy
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Isn't it a huge challenge to not just understand perspective, but to explain it? Teaching this in simplest terms is it's own work of art!

LiamJonesArtist
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the fact that this is free on youtube, it just freaks me out, you have no idea of how much you're helping artists man. wish you get every kind of recognition you deserve dude!

GarotoArcano
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No joke... this is the most grounded and helpful art video about perspective I have ever seen by far! I think the long work was completely worth it. This deserves far more recognition dude!

biology-of-life
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05:42 With that revelation I literally said ''wooooh'' so loud that someone came to ask what was going on, thanks for sharing your knowledge.

quelmnossfe
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Our geometry professor suggested we watch this video to get an intuition of projections! Great video, good job!

prk
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The infinite sphere and the beholder - the pieces of trying to understand this for years clicked into place. Thank you!!

tarajones-legros
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I love this video, and pretty much hate that I spent years being told "draw what you see" yet no one explains that liner is so drastically different from your eye sight. I guess people figure this out naturally but even my art teachers didn't tell me this after so many failed drawings so the mistake kept happening without an answer, until now.

Dennisjay
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As a self-taught art student, this is the best perspective video I have stumbled upon so far, thank you so much!

asherhan
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The problem with drawing perspective is that most humans have 2 eyeballs. Meaning there is not 1 observer. There are 2 observers. Each one seeing in a fish eye manor, but because of the front placement, the lefts fish eye effect crosses with the rights fish eye effect and the crossing result is the bent lines become straight.

mrwang
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I didn't udnerstand a thing, but i'm probably gonna rewatch this video several times to get the idea. Thanks for covering such an interesting topic! No wonder why my linear perspective drawings looked weird when i went outside of the 60 degree

blekkek
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This video is a masterpiece and will remain relevant and useful to artists and designers forever. The way you seamlessly integrate intuitive and analytical approaches is so helpful for comprehending the maddening paradox between natural drawing and linear perspective. I have been alienated from linear perspective constructions for years because it seemed to blatantly contradict what my hand and eye wanted to produce. I would just draw what felt right and adjust until things were (reasonably) acceptable. I am extremely grateful to you for resolving this apparent contradiction so beautifully, and giving us the tools to move forward with both drawing styles in such a clear and complete manner. I wish you all the best!

barr
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This is Best perspective video on youtube

jgz
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I remember experimenting with 3-point perspective and I drew something really far away from the 'good area' and i wondered why it looked so weird. This not only cleared it up for me, but it taught me concepts that I never would've even imagined were possible.

IAmYes.
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you did justice to the topic.... before this video, I thought of perspective as a cheat to project a 3d world on a 2d surface, but that infinite sphere cube thing made me realize that everything is projected on an infinite plane and we can see only some part of that plane and that is picture place or canvas... also I never thought of multiple types of perspective projections and when I learned about that it made a lot of things clear, like why certain scenes are different even they are snaped from the same location in space.... so overall thank you for taking time to put everything you learned together... it saved me months of confusion...

thank you

karrorri
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Best perspective understanding tutorial, thank you so much, I've watched a lot of perspective videos throughout the years but this one had me in awe. Great work, thank you for putting this much effort into this 🔥

cosminv
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Finally a video that helps you understand a concept and doesn't just treat it as "trivial". It isn't trivial. All of the tutorials out there offer no actual explaination for these concepts. Instead they just throw this at you and say that it takes years to develop an understanding for it. No it doesn't. It takes years to internalize it and use it intuitively but you can easily understand it with a 40 minute explaination.

Lukasek_Grubasek
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what a beast! been watching perspective vids for couple days and this definitely cover everything I need! thanks Phips

draw
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this was one of the absolute best perspective videos i’ve ever seen thank you so much!

sara_door