Painting a Landscape with Maths

Today we are painting a landscape using mathematics.

0:00 Intro
0:48 Basic Polynomial Surface (Noise)
4:12 Fractal Surface (FBM)
6:28 Key Lighting
9:15 Atmospheric Coloring
11:00 Composition and Cliffs
12:28 Light Direction
13:53 Sky
15:42 Fill Lighting
17:42 Grass
18:31 Tree Sculpting
23:53 A Story of Painting with Maths professionally
24:52 Tree Lighting and Coloring
29:48 Highlights
32:05 Color Touchups
34:48 Clouds
40:32 Conclusion

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[matthewkaemmerer]

Great quote at 13:47 "This is your little mathematical world, and you can do anything you want in it." It's like I'm watching Bob Ross, but with functions.

[amyshaw]

Its a small thing, but i really appreciate how you alternate between the old and new views when you change something small, it really helps me see the change you have made, as just showing it once really makes it hard for me to tell the difference sometimes

[HyperMario]

This is a masterclass. And completely deterministic, this could run in real-time. Oh wait, it does!

[RobattoJ]

My jaw was on the floor for half of this. I almost can't believe it's possible to render this much detail in real time. You have no idea how inspiring this is!

[kanoest]

This shows the beauty of mathematics that I never knew existed. The concepts and executions are peak maths understanding on high level

[gs]

The quality in this videos is amazing, I love how he uses 3d animations to explain all the equations. it makes it so easy to understand what each thing is doing.

[konstantinkh]

Me: "Bounce light is going to be a nightmare with this terrain." Inigo the Wizard: "Super easy, barely an inconvenience."

[fudan]

Just came from a class and my professor showed us one of your videos, and he said that you're basically his idol

[andremeIIo]

I remember bumping into Inigo literal decades ago when first getting into computer graphics. Literally 90% of everything I know in that area comes from his website. He's like the Knuth of CG, reading through his articles feels like perusing a sacred text, equal parts art and math, all of it genius. Very happy to see him here after all those years. Makes me itch to play in ShaderToy.

[gordonfogwill]

40:21 The clouds shifting and the shadows following was absolutely delightful to watch, and made it seem like a time lapse. Great video! :)

[wargreymon]

This is fantastic, not only paint but created the world with mathematics alone and no real source feed into it.

The maths involved is advanced but not too harsh, which is an eye-opener for people to learn math and programming.

You are awesome.

[parsuli.]

As someone aspiring to work at Pixar once I graduate, and as someone who loves math, this video was an absolute gem. It was delightfully composed and the end result was breathtaking. Thank you for making this for all of us to see. I have no doubt it was a lot of work.

[davecgriffith]

The art here is actually this video. Fascinating subject and wonderfully presented. Thank you for this!

[konya]

Man.. this is impressive it's like he's explaining how people back then are doing it, but with the current beauty of today's engines.

[euphonic]

Now I understand why are we made to study these topics in class 11 and 12 in India and what's its application in real life. Also got to know today that this world is literally mathematically built.Thanx to you.This indeed is beautiful to know the details of our universe.

[ankur]

I barely know anything about 3d graphics but still watched it till the end....What I liked is the underlying maths, which i understood to the some degree. can't thank you enough for sharing your knowledge...

[firefly]

Sometimes YouTube's algorithm hits you out of nowhere with an absolute gem of a video. This was amazing! Thank you for your teaching and for making the code available. I will study it and use it as a basis for my own mathematical paintings! In fact, I always loved constructing the functions that I needed out of small, fundamental pieces. If you ever want to do the same thing with sound, Csound is a very old tool to do just that. (But there are probably better tools nowadays?)

[angeltodorov]

This is by far one of my favorite math videos. I did not understand all of the math but this was still so interesting. I never knew math could be used for this

[wiredlifter]

This has to be one of the most beautiful videos I have ever seen on the internet. You sir have made a MASTERPIECE of a video. I cannot describe how engaged I was through the whole thing. My jaw was always on the floor

[gamesvrtech]

I find it fascinating how detailed the perception of some people is.
I was already convinced of the scene but hey, let's add some little yellow here and another bump there...
Very impressive! 👍🏻