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

[@phipsart6424]

READ AFTERWARDS: Briefly, here is what comes closest to the promised part 2: kzbin.info/www/bejne/g6XWp2R_pc-IndU&t 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: figshare.cardiffmet.ac.uk/articles/journal_contribution/The_Art_and_Science_of_Displaying_Visual_Space/21205910 If you want to research further, Perceptive Perspective is the term you are looking for. Edit: Pls read akezimaks following very insightful comment on the representation of visuals in the brain.

[@akezimak]

The reality is more complex, of course. Yes the vision field is curved, but normally you still perceive straight lines as straight. The reality is that _brain doesn't operate images at all._ It continuously scans the scene and converts it into very high-level concepts and relationships in real-time, omitting the details. That's how you're able to have a field of vision close to 180° or more while still perceiving straight lines as straight at the same time. I'm sure animals with the 360° visual field (e.g. birds, rabbits) are very similar in this. This self-contradicting property is impossible to represent with any mathematical projection or perspective, on any media, not just on a flat surface. You "see" a set of abstractions, not an image, so you cannot "draw what you see" 1:1. *Anything* you draw is always an artistic interpretation, without exceptions. Many artists mix perspective planes to better represent their message or mental state; this is an advanced skill way beyond the scope of this video. If you (the reader of this comment, not the author) are here for a tutorial, just keep your fisheye distortion very subtle and barely noticeable to get a more or less natural looking scene. Also, your gaze latches on "important" objects as it scans the scene, giving them more attention and possibly refocusing the eye. This makes them look closer than they really are. Distance estimation is extremely non-linear - that's why when you draw in mathematically correct curvilinear perspective, you might find some objects far too small. Try compressing the distances in the background if you find it important for the composition, this might or might not make it look more convincing, depending on what you're trying to draw.

[@phipsart6424]

@@akezimak Thanks for your comment. Do you have sources for further reading? For instance for your point about us perceiving lines still as straight.

[@Not_Even_Wrong]

In regards to @akezimaks comment: Stephen pinker has a book "how they mind works" some of these things come up in it (it's not a great book though... And his politics suck...). But here my own short explanation: It's the same effects as when you take a picture inside and wonder why your white walls seem yellow, it's because they are, from your light bulbs, but your brain keeps color correcting what you see to white, because it knows that they're white. What you perceive through this, is not optical reality, but actual reality in a sense (well that's what the brain is trying to do... Arguably the wall is really yellow, but you brain disagrees in a sense...). For your brain (so you survive ...) it's more important that you realize straight lines are actually straight then perceiving the bend that your optics apparatus introduces, that's why straight lines seem straight to you although they don't really look straight, the brain tries to show you reality behind the objects basically (in so far as it serves your survival).

[@phipsart6424]

@@Not_Even_Wrong Thanks for your comment and your point. I need to update my pinned post a bit soon

[@akezimak]

@@Not_Even_Wrong There's a related concept in robotics called SLAM, and for someone familiar with it our discussion is trivial/obvious: en.wikipedia.org/wiki/Simultaneous_localization_and_mapping Basically your brain is *extremely* efficient in doing that in realtime, except it builds the map as relationships between concepts instead of the point cloud as most robots do, and that not-quite-3D-not-quite-2D map is what you normally "see". Some robots do that too, there's neural SLAM, topological SLAM, etc. However it's just a mildly interesting side fact in the context of drawing. It's not necessary to know all this to make convincing-looking art, some basic rules will suffice 🙂

[@snoopy9009]

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 ❤.

[@Grav169]

Exactly my thoughts, he just put everything into "perspective"

[@ThaHogfather]

Indubitably

[@quelmnossfe]

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.

[@phipsart6424]

Haha you're welcome!

[@meltedbrains433]

@@phipsart6424no joke thats help alot :), thanks

[@p4rk756]

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

[@phipsart6424]

Haha thanks for sharing!

[@LiamJonesArtist]

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!

[@tarajones-legros3661]

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

[@GarotoArcano]

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!

[@phipsart6424]

Thank you so much!

[@biology-of-life]

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!

[@phipsart6424]

I feel honored, thank you :)

[@Lukasek_Grubasek]

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.

[@NightJun]

I thought about it for a long time, and got stuck on the [basic] thing of perspective for almost a year. I once gave up understanding perspective, but I couldn't do it. I just really wanted to understand his mathematical formulas. What I found on the Internet were theories. No one has explained this stuff from such a simple perspective, I would recommend this video to anyone willing to understand perspective, well done. You deserve it, thank you for your research. A few days ago, I broke through to 06:13 seconds by myself. I tossed and turned in bed and couldn't fall asleep. The moment I figured it out, I jumped up happily. Dude, this is one of the few happy days since I learned to draw for a year and a month.

[@phipsart6424]

I'm glad that it makes sense to you now! Although I feel a bit bad now, imagining people trying too hard to figure out what I am saying - just write a comment if you got stuck at one point :) Hope you have more happy days to come!

[@NightJun]

@@phipsart6424 OK thanks!

[@NightJun]

@@phipsart6424 I mean, I learned perspective on my own, and before this film, it took me a year and three months, a few days ago, to break through to the theory of 06:13 on my own. Then a few days ago, I found this video and it solved a lot of my problems and even gave me more. So don't bad now. You solved my problem, of course I will still ask

[@asherhan8443]

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

[@Dennisjay9]

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.

[@phipsart6424]

I think also many art teachers are not so much aware of this. Glad that it helped! :)

[@dont-want-no-wrench]

it has to do with the angle of view, if you kept your head straight you wouldnt see the fisheye effect, that comes from looking at different places and drawing those.

[@karrorri1097]

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

[@phipsart6424]

makes me feel it was worth it, very happy to read that! :)

[@tollestoertchen]

this is pretty much the best video on perspective I've seen on youtube - and I've seen them all :D Thank you for making it, with it had more views, you definitly deserve that! Seeing the vanishing points set on a sphere with the viewer in the middle has been an real eye-opener!

[@phipsart6424]

haha thanks! yeah, I feel I covered it in a yet unseen depth. thanks, I am very happy to read that! :)

[@HumanBeing2137]

agree

[@phipsart6424]

@@motherisape Can you explain how you find the vanishing point? You mean on the canvas where you draw?

[@phipsart6424]

@@motherisape That's right. I would not focus so much on calculating, but rather to get such an intuition

[@yfchan7753]

Currently the most informative video about perspective I have ever seen. Thank you for making this video. This video should be worth more than 892 views.

[@phipsart6424]

Reading such comments makes me feel it was worth it, thank you very much! Also the views are slowly accelerating, so it's not too bad :)

[@barr6124]

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!

[@phipsart6424]

Thank you, so happy to read this!

[@LorenzoCeccucci]

man, you are the absolute nr. 1, finally a mathematical treatment of perspective :) It would be amazing to have an analytical treatment of measuring point an their correct position. Keep up the good work!

[@phipsart6424]

How do you mean that? Having a point in 3d space and calculate where it is on the canvas, or the other way round or something else? Thanks for you comment!

[@IAmYes.]

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.

[@ÁgnesGaidosch]

I am so happy I found this video! Thank you for taking the time to make it and sharing it with us!

[@Ugitron217]

absolutely insane gem of a resource, making this info accessible to people is such an inspiration to me

[@phipsart6424]

Thank you so much!

[@afonsoferreira1701]

As an art student, I really appreciate this video man, this is the most important thing for me to Master in the drawing field since I want to pursue architecture. Keep up the great work!

[@jgz3892]

This is Best perspective video on youtube

[@blaise8738]

I simply learned more about perspective here in 40 minutes than during 3 years of art school :0 Thank you so much !!!

[@blekkek755]

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

[@phipsart6424]

If you can formulate a question just let me know!

[@sharpieton]

fr i feel so dumb LOL

[@gjeaks]

Thank you for doing this video. You've put into words what I've failed to articulate for myself. Might have to rewatch some parts but overall I think I've got a better understanding of perspective now.

[@phipsart6424]

So happy to hear that!

[@sara_door]

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

[@mnieman8140]

Hands down the best perspective video I've ever seen.

[@royahk4413]

THIS IS THE BEST TUTORIAL ABOUT PERSPECTIVE, MY ENTIRE LIFE IS CHANGED NOW THANK YOU SO MUCH

[@thedot9253]

Man! A thousand thanks for this detailed work! Im gonna watch this viedeo and try out everything until it is burned into my brain and I have you to thank! Best of life to you my man!

[@humuhumu961]

How tf do u only have 188 subs. What u put in that video summarized one of the biggest areas necessary for any artist. I hope you can continue to create videos like these.

[@phipsart6424]

Thank you! New video coming the next days, but not about perspective :)

[@HumanBeing2137]

this is just amazing, best video on perspective, thank you for your research, this will be monumental someday, I will be recommending this to everyone who will want to learn about perspective

[@phipsart6424]

thank you so much! :))

[@silenttassel]

This is the most insightful and consistent explanation on perspective I have seen, thank you very much.

[@Edy_hdz]

This is probably the best perspective video I’ve seen so far. I may congratulate you, this is precious work

[@phipsart6424]

Thank you :))

[@giancarlonealmaru7303]

No need to apologize brother, you just made me understand topic in 40 mins thank you. Keep it up

[@JakobMaier]

Great video overall! I'm so glad I've found this considering there's so much misinformation on this topic online. One thing I wanted to mention is that linear perspective isn't actually any different from how our eyes see the world, in fact, it's exactly what's happening. Perspective is determined by position and rotation of the camera. If you stopped at any point, held your head still and drew what you saw, you'd get a perfect linear perspective. It's just that when drawing what you see, you naturally turn your head and continue "updating" the same image, so you run into the issues you mentioned with the parallel lines, resulting in a fisheye perspective.

[@phipsart6424]

I don't think that is the case. For a camera - yes, but for our eyes/vision it is more complicated, and some curcing takes place, even for static view. You may have a look at my pinned comment. I also refer to a paper, where they determined experimentally how the visual space looks like, here: figshare.cardiffmet.ac.uk/articles/journal_contribution/The_Art_and_Science_of_Displaying_Visual_Space/21205910 So, I think, both dynamic and static view have some fisheye effects in them. Thanks for your comment!

[@2draw794]

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

[@pipipupu256]

im usually someone who works very intuitively, but having my intuitions confirmed and reinforced by such a well structured explanation is incredible. thank you

[@sickle7291]

This is the video I need. At this point I don't even need to look for any other tutorial on perspective. This one deserves a place in my hard drive. This is the BEST perspective video. You've covered EVERYTHING we need to know. The fact you even explained the math behind the vanishing point is just 10/10. I usually hate long tutorials, but yours is one of the few I loved.

[@cosmin_222]

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 🔥

[@Alumx]

this is probably the most thorough take on perspective that still touches art aspect that i've seen Your grasp on theory and explanations are top notch :D can't wait to see more stuff from you in the future! Cheers

[@afm5785]

So glad this video is here! Most vids about perspective are pretty useless. They just show how some gears work in specific situations, but totally ignore the big picture. It's like trying to use a drill that's taken apart and missing the motor. And by the way, speaking of why we don’t notice the fish eye effect in our eyes. This is most likely due to the fact that we do not perceive the world as some image from our eyes, but perceive it directly as a 3D object. The vision processing system of our brain already knows at what curvature of the lines in the projection of the eye, these lines are parallel in reality. But when we create a fish-eye effect, we significantly increase the curvature. For the brain, such curvature is equivalent if in reality they were not parallel lines. This is why it seems to us that the fisheye picture is convex. To see curvature, it is not necessary to have a clear 360-degree viewing angle. You can simply look around and collect the picture from a high angle. Then see how parallel lines behave. You will see that the "raw" image has crooked lines. But at the same time you feel them as completely parallel lines in three-dimensional space.

[@GustavoHenrique-bw9yw]

This might be the best video I ever seen

[@phipsart6424]

thank you so much!

[@krohihmeleet]

This is the BEST video on perspective ever made!!! Your video has been incredibly helpfuI! I didn't understand the fisheye and VP at all. But now everything has become clear. Thank you so much!! (I apologize for any possible mistakes, I am not a native English speaker)

[@brooklineg7727]

Excellent video. I will need to watch it again several times, practice, and i hope it becomes more intuitive

[@phipsart6424]

For it to become intuitive, I know some things that may help: You could draw your surrounding, like I did in the beginning of the video. Eventually you will see lines not running down the paper, but coming towards you. More technical, you could draw cubes in perspective. First with vanishing points, and then try more and more to not rely on drawing the guidelines. Eventually you can draw cubes freely. These are 2 approaches. The first may be more fun, the second is similar to DrawABox, which is a good and free online course. Maybe you have a look at it, I recommend it well. Other than that, make sure, you don't lose the fun at it on the road! :)

[@dana5865]

I was looking for a video for my students and this is the best and not just for them but also for me. This is not just about the title but is pretty much all about to to deliver what u know or have in ur mind. Ofc this will correct u during the process so that you will become even better by just following this artist's methodology on all the instructions.

[@yugenmaharjan6699]

this is definitely one of the best if not THE BEST perspective tutorial ever.. I had spent more than a year researching on 'how to draw on perspective' but NONE have better explained perspective than this one...

[@phipsart6424]

then I am glad you found mine :)

[@Jerry_quesoso]

By far one of the best and more in depth perspective lessons I've seen here in KZbin, most perspective tutorial videos often end up coming as cookie cutter and this one got me by surprise. The aspects that make your video stand out the most for me are how objects can create different VPs and how to properly avoid distortion, things wish someone explained to me back when I was just starting. Unfortunately, perspective as a whole is a bit to rigid for me to apply properly onto a drawing because objects create new VPs and often these end up WAY OUTSIDE the canvas which makes them a hassle to work with, eventually I ended up winding towards using primitive 3D models and even Lego photos to help me out not only at perspective, but at composition as well.

[@phipsart6424]

Hey, why not take any help one can get. I took inspiration from placing books to form a gorge for instance. As for the outlying VPs, you can do it like I explain at around 35:00. You do not need the VPs as points, but you can treat them as lines. With a bit of practice you can 'ghost' these lines, and do not need to draw the VP, which indeed often lies far out of the canvas. Thanks for your comment!

[@GohOnLeeds]

All kidding aside, this is an amazing resource, and should have had so many more views than it does. Fantastic job, dude.

[@enjoyedeggs5175]

I've looked for a video like this one for years. Thank you.

[@phipsart6424]

Me, too, once ago!

[@mo0od749]

Absolutely amazing visualization of a usually tricky subject. Thanks for the great video!

[@TheonewhoDwells473]

thank you for the video ,explaning perspective .Its by far the most valuable understandble and *not talking about course and a depthful yt vid .Thank you sensei!

[@TheonewhoDwells473]

this is my favourite video on perspectivee!!

[@Sphnxfr]

really solid overview! I also had a period where I was obsessed with the distortions in the visual field and how to take them into account when drawing from observation - even argued with my art teacher about linear perspective being 'wrong', or at least unnatural, giving the same proof you did for why the sides of a plane you're looking at straight-on have to be farther away than the middle, and therefore receding in space. I never got to the point you did of being able to give mathematical equations for where vanishing points should be positioned relative to oneanother. Gonna try to use those for a bit when coming up with compositions and see if it improves my intuitions.

[@phipsart6424]

Honestly, meanwhile I do not recommend the equations so much. It is way more powerful (and fun) to build or have an intuition for cubes for instance. I basically never calculate with these formulas. Thanks for your comment!

[@helencrossing5375]

Hi Thank you so much for all the work that went into preparing this wonderful video. Truly amazing. Dense information but fabulous way you have illustrated the concepts. I need to watch it again and also looking forward to watching part 2

[@phipsart6424]

Thank you so much! Here is what comes closest to part 2: kzbin.info/www/bejne/g6XWp2R_pc-IndU&t

[@19CarlosGomez64]

I found this video three years late. Congratulations on such a tremendous amount of work! You are very clear and have gone into depth on the topic. The perspective is nothing more than a lie. But it is the only way we can represent the 3D world on a flat surface. For a Renaissance approach to fisheye perspective, see Van Eyk's "Portrait of the Arnolfini" from 1434. The curved mirror on the wall reflects the room in a similar way to how the image is formed inside our eye : a curved surface. This is the reason for the curved lines of the "fisheye" perspective. For the field of view, I use a 72° angle. I decided that a 10% distortion between curved (true) and linear (false) perspective would be acceptable for my comic designs. But like you said, it depends on the artist.

[@phipsart6424]

I would not say that there is true or false perspective, or that one of them is a lie. There are just different ways to do it. Thanks for your comment! :)

[@Eric-yd9dm]

This video answers so many questions I knew I always had, but could not figure out what they really were about and thus could not search for answers. Thanks!

[@phipsart6424]

Sums about up how I felt once ago^^

[@yess.6558]

I know you have recived hundreds of comments thank you for this tutorial. Knowing that, i still cant help but give my thanks. This is an absolutly briliant video and gave a whole new perspective on the concept (pun intended). Keep up the amazing work, I wish you the best, and thank you so much.

[@phipsart6424]

Thank you very much! I read all comments and am happy about each one!

[@syerillreyes_]

I'm so happy that someone recommend me your channel!! I've been coming back here for a while, (english is my third language that's why I'm quite having a hard time) and it still leave me in awe to that you can explain it quite well. Thank you, good sir! I'm seeing progress in my art and it brings me happiness. I'll also recommended your channels to my art friends and again thank you!🫶

[@phipsart6424]

Thanks for this comment, makes feel it was worth it!

[@NontNanont]

Best perspective video i've ever seen!!

[@hehehehe5250]

Of course, got to take a german to explain things right. FINALLY, I understood perspective. Took me several weeks, tries, and videos watched, but danke mein freund, das war sehr schon!

[@phipsart6424]

Haha you're welcome, glad it helped! :)

[@iokhufu]

im so glad i was able to watch this for free, this is amazing information!

[@magicman1006]

I've always been curious about the full theories behind perspective, but I've never found a video besides yours that addressed most of the questions and theories I've had, I love this video, keep up the amazing work!!!

[@magicman1006]

I really enjoy not only improving in art, but having a deep understanding of the concepts, and skills and theories that make up art, and I think this video does just that, I really can't put into words how much I like this videos, like in my 5 years of watching art KZbin videos, I've never seen one this in depth

[@phipsart6424]

@@magicman1006 Thank you so much!

[@8hng]

Simply FANTASTIC... this is the best video i have ever watched on YT. thanks a bunch.

[@chinguyenlinh3069]

my god finnally a video that actually explains perspective. You got my subcribe dude.

[@threadsofsaffron]

brilliant video! ive had thoughts about 'circular' vanishing points, i'd never considered we experience the world in a spherical array of vanishing points. as an artist ive always been drawn to and understood the idea of perspective in a very intuitive way, and enjoyed drawing it freehand. very happy to see all this logically laid out!

[@hawkedarkwizart8924]

this is the best instructional video on perspective i've ever seen. sometimes, the best way to make art better is explaining the technical aspects of it.

[@tomlfy4497]

graciass, esta explicación me sirvió mucho! iré estudiando de a poco, porque me parece que es mucha información condensada en un vídeo. No sabes lo mucho que necesitaba una explicación así!

[@phipsart6424]

I don't speak spanish but I translated it and thanks for your comment, and I'm glad it helps! :)

[@and-reass2719]

Thank you very much for this amazing video. You have answered all of my questions that I couldn't find the answer to.

[@Perilous815]

This was gold, thanks for going all out!

[@phipsart6424]

my pleasure :)

[@darsh8964]

Great tutorial man! Very helpful in understanding the nuances of perspective, hopefully the algorithm will spin this out to more folks as it's a 10/10. Thank you for sharing!

[@phipsart6424]

In the first year this video was online, it got a total of 600 views, so I am not complaining now :) Thank you!

[@dumyes]

Great work. You did a marvelous job. It solves my problem incorporating LP into my pieces

[@kiendang2994]

this is the most helpful video on the youtube i have ever seen! really thank you so much, it helps me a lot!

[@phipsart6424]

Makes me happy to read that! :)

[@hrtz9796]

KZbin recommend this to me even though I'm not a artist. However, this video ended up being so interesting to me because I happen to be a mathematician who studies mainly projective geometry and linear projections. So much of what you said from an artist's perspective is exactly the same of what I learned as a mathematician but different just in terminology. For example, what you call "vanishing points" is what I know as "point at infinity". And when you talk about how "vanish point can be considered the same as a direction"? In projective geometry, a point at infinity is defined as the intersection of all parallel lines in a certain direction. And also how you talked about the relation between the 2d canvas and the 3d world is exactly how I would talk about the relation between Homogeneous Coordinates and Cartesian Coordinates. I don't know if you're already familiar with projective geometry (because I won't be surprised if you do). But if not, I def recommend you check it out. There's a really good introductory video on KZbin called "Putting Algebraic Curves in Perspective" by Bill Shillito

[@phipsart6424]

I studied math. But I was rather into analysis and numerics, I do not know so much about projective geometry as I maybe should, making such a video 😄 Happy to read your comment, and thanks for the suggestion, I will check it out!

[@rosascreativeworks5403]

Nice. I learned perspective drawing old school on drafting boards with pencils and rulers. These days 3D modeling helps me a lot if I find something difficult. Great video. Danke schön!

[@phipsart6424]

It's definitely a great help! Bitteschön :)

[@SpraTzSerenity]

Now i can perfectly visualised what is perspective in my mind just with this video. You have hugely increase my brain capacity to create a logical 3d world. Thank u so much 🙏

[@phipsart6424]

My pleasure :)

[@o_scuras11]

Im sure practice and patience will pay back 😆 Very grounded tutorial, thank you!

[@GustavoHenrique-bw9yw]

I was searching for this for a long long time

[@phipsart6424]

me too once ago ;)

[@GustavoHenrique-bw9yw]

@@phipsart6424 Thank you once again. Do you have any sources, books, or specialized bibliography to recommend?

[@phipsart6424]

@@GustavoHenrique-bw9yw Not really, most of it I figured out on my own. Maybe some tutorials from Nsio may help? www.deviantart.com/search?q=nsio

[@leebehl3063]

Great video! Thanks. Personally I think the Renaissance people once they confronted fisheye perspective just put it aside. What mattered most was the viewers comfort zone of seeing the picture plane. The viewers angle was all that mattered and however fish eyed things truly are in nature, as you have said, our sharp image is only about 60 degrees or so anyway. If they had video games in that time, perhaps they would've cared to address it.

[@VincentKeeling]

An excellent video on perspective and very much appreciated the mathematical formulas as well. Thanks so much for all your hard work!

[@phipsart6424]

Thank you! As I don't recommend it for everyone, I'm glad the formulas are of use for some people :)

[@gonasjoss]

Great really helpful video and i love how you use the german articles sometimes he, the cube So charming

[@phipsart6424]

Hahaha thank you

[@polarpeb]

You absolutely nailed it with this video, thanks for putting in the work!

[@mrwang420]

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.

[@phipsart6424]

I don't think its this what lets the lines appear straight. I think it still is the fact that we don't see the periphery clearly. But you are right, there is a little bit more to our vision. Depending on what you are looking at, one eye can see something that the other one cannot. At objects very close to your vision, like 5cm in front of your nose you notice it clearly, that your eyes/brain cannot match the images so well into another. But this effect mostly applies to objects that are really close. For most applications you can go as if it was only one observer.

[@moonlitegram]

​@@phipsart6424 I don't think its just because the periphery isn't as clear. I think there's a significant difference between what our eyes see (the raw data coming in) and what our minds perceive (the outputted information from that data). Our eyes may take in light resulting in a fish eye perspective but our minds don't necessarily process the data in that way. After all, that wouldn't be particularly useful information considering the bent distorted lines in our fish eye data aren't actually bent as they exist in the world - they are indeed straight lines. What we actually perceive in our minds, the information our mind has gathered from the data of seeing, is indeed closer to linear perspective. Our minds know those bent lines of the wall are actually straight. So we perceive them as such, even if the light from them does come in warped through our vision. Which is why linear perspective in photography etc appears natural to us - its how we're perceiving the world in our mind.

[@phipsart6424]

@@moonlitegram I agree with most what you say. The processing in the mind for sure is a significant factor. However at the rim of the vision some fisheye needs to take place, because our vision is too big for being plain linear perspective (180° is the absolute maximum in linear perspective, and horizontally we see even a little more than this). Also, in the middle of the image, fisheye and linear perspective become indistinguishable. From what I know it is possible or even likely, that some linearization/mitigating of the fisheye effect may take place, in other words, the fisheye effect only slowly increasing towards the rim. However I would not necessarily say, that this is because we know that physically straight lines should be straight, because: The same thing does not hold for example for spheres. A sphere observed with linear perspective is not necessarily a circle in the image, but an ellipse, if you are not looking directly at its center. Oh and by the way, I for myself fancy that in the part of our vision between center and rim I see the curving a bit lol

[@jacyoutube4459]

@@moonlitegram you speak with such impunity, as if neurodivergence doesn't exist, or that people don't have varying degrees of vision--both ocular and imagination 'vision.' Don't take for granted that the process by which you've worked this out universally applies, and happy trails 🤙

[@mahdiasad1353]

This comment and its replies are on a whole another level 😐

[@Not_Even_Wrong]

Are you me? This whole suffering through not understanding, it's so familiar to me, is incredible. Not sure I've ever met someone who is like that. Awesome video btw.

[@phipsart6424]

Hehe, I don't think so. Thanks for your comment!

[@icetyper3353]

Your video is a Gold in the KZbin Ocean, dude I'm glad I found you)))

[@willtn]

this is a super video! well done, dude. as other commenters have pointed out, you've made something substantially above other videos on the subject of perspective. i have also had some thoughts about the concept of the "infinite sphere" myself, and you've articulated and summarized it all really clearly in to a 5 minute segment better than my scrambled notes ever could. :) keen to see more of your content, subbed!

[@phipsart6424]

Thanks, makes me feel it was worth it! :)

[@itlugannipotpot5508]

This is one of the Best videos on perspective that I have watched! I've learned new things from here! Thank you so muchnfor this video mate, really helpful!

[@meefvongrau9814]

what a nice video! this is might be the best vid on perspektive i have ever seen, like holy crap was dat informative. also: the subtitles help so much when your are not a native english speaker. give yourself a big pat on the back!

[@phipsart6424]

:)

[@donbelisario8811]

One simply does not realize how massive is the planet and the importance this concept takes when learning to draw, the fact that we are kind of grain of sands aprox. 7.3 million time smaller than the surface of the planet. Therefor our conception of parallel and straight lines lies only on more real and massive curved space. It was very revealing for me too, when I get to the same conclusion one night couple months ago, it all make sense, it's tho' very concerning that they don't mention this at school's at least not in the ones I've been teachers either wants you to learn the measuring method or rather pretend that you are a cad machine, I think that grasping perspective in this way is like a new more efficient algorithm. Awesome video!

[@phipsart6424]

I would not recommend this to everyone though. For many people starting with perspective and drawing, this would lead way too far, also keeping in mind that it is something that should be fun :) Thanks for your comment!

[@haleslectures]

you are a living legend. thx so much, it literally changed the way i view the world.

[@phipsart6424]

Thank you so much!

[@green_quadrix]

I think you deserve a noble prize for this 🥹

[@phipsart6424]

Haha thank you :D

[@invalidstroke]

Hello, Philip, thank you for the sophisticated video tutorial on Perspective, it helped me immensively. I recently took some time to translate the subtitles into Chinese, I wonder if I can send it to you, if you can upload it so that Chinese viewer could understand this video, I believe your video will help a lot of them in grasping the basic theory behind it therefore they would be able to learn faster

[@phipsart6424]

For sure! Thank you for the kind offer. You can send it to me: [e-mail]

[@Two96-br9jc]

This is so fascinating, and very helpful. Thank you so much for this explanation

[@007walk]

Amazing video and breakdown of perspective. One thing that also gets me is how to draw things in perspective when alot of the items in the scne are not totally parallel to each other but still keeping the correct relationship to everything. Like the scene you mentioned with the piano. The piano can be slightly rotated so its not perfectly parallel to the person playing, so the vanishing point would be in a different place on the horizon. But learning to spin the cube might solve this i guess. Thanks again for an amazing breakdown.

[@phipsart6424]

Exactly! Being able to freehandedly just throw some cubes or other simple forms on the paper makes up for this :)

[@eevaaichner6109]

sehr cool! danke für den perspektivenwechsel. 😎

[@phipsart6424]

Hehe bitte :)

[@artealapis]

man, really thanks bro. Im a brazilian, and you save me a lot, i dont have words to thank you and Nsio.

[@BrodyMalone-Bonacci]

This is amazing I learned a lot watching this once and will definitely watch it multiple times again as their is so much good information!

[@mountainsno]

I can tell this is extremely valuable. Thank you. I will have to listen to it a few times. But I'm sure I'll learn. Thank you for the sphere image alongside the cube. It's really helpful. I'm listening for the second time. Yes the points on the infinite sphere and the lines etc. Wow. Thank you again.

[@eskilitor5802]

god bless you , you have presented us with such information!

[@phipsart6424]

my pleasure! :)

[@yen_bm]

extremly good and educational video on perspective! amazing, i feel like i finally understood something about it lol

[@custu2814]

Awesome video!! This actually matches my own investigations and I also wonder why people in the past didn't see non linear perspective. I think there is one more important thing you should explain, which is how you can understand the size of objects in depth with different perspectives. For example, what does a cube 3m away look like in human eyes versus a camera? What is the relationship between viewing angle, physical z distance, and size on the drawing?

[@phipsart6424]

Thanks a lot! And nice to see someone to whom the same questions/observations occur. I felt quite alone with that for a long time xD Yes, you are right, there is an important invariance, that I maybe should have added. I however already feel I put too much stuff in this video

[@Nyorane]

God tier video!! You're a great teacher ❤❤❤ Nice voice, too! Thank you so much 🥰🥳