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Welcome to OpenGL

Exploring some common math that game developers use, let's look at linear interpolation and apply it to everything.

GLSL Course: https://simondev.teachable.com/p/glsl-shaders-from-scratch

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In this video, I cover lerp, also known as mix in GLSL, a common mathematical function used in game dev. It's extremely versatile, and we'll go through basic uses, as well as some problems and how to overcome them.

Some easing functions to try out:
https://easings.net/
https://iquilezles.org/articles/functions/

An In-Depth look at Lerp, Smoothstep, and Shaping Functions

Today we are painting a landscape using mathematics.
Support this channel: https://www.patreon.com/inigoquilez
Buy this painting in a metal, canvas or photographic paper print: https://www.redbubble.com/shop/ap/39843511

This is the link to the real-time rendering code (that you can edit yourself live) for the painting: https://www.shadertoy.com/view/4ttSWf

Music by Bent Stamnes (https://twitter.com/gloom303).

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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

Related articles I wrote:
* Fractal Noise Summation, also known as FBM: https://iquilezles.org/articles/fbm
* Raymarching terrains: https://iquilezles.org/articles/terrainmarching
* Rendering SDFs: https://iquilezles.org/articles/raymarchingdf
* Derivatives of Noise: https://iquilezles.org/articles/morenoise
* SDF of an Ellipsoid: https://iquilezles.org/articles/ellipsoids
* SDF Gradient: https://iquilezles.org/articles/normalsSDF
* Soft Shadows: https://iquilezles.org/articles/rmshadows

Painting a Landscape with Maths

Today we are painting a cartoon character using mathematics.
Support this channel by subscribing or joining my Patreon: https://www.patreon.com/inigoquilez

This is the link to the real-time rendering code (that you can edit yourself live) for the painting: https://www.shadertoy.com/view/WsSBzh
 
Links I mentioned in the video I'd leave here:
* Raymarching: https://iquilezles.org/articles/raymarchingdf
* SDF of a Line Segment: https://www.youtube.com/watch?v=PMltMdi1Wzg
* Smoothstep: https://youtu.be/bdICU2uvOdU?t=3423
* SDF of a Rounded Box: https://www.youtube.com/watch?v=62-pRVZuS5c

Donate: http://paypal.me/inigoquilez
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0:00 Sculpting basic shape
3:45 Blocking basic lighting
6:20 Sculpting face
8:50 Painting face colors
11:38 Eyes
12:55 Face animation
14:58 Hair
16:15 Makeup
17:00 Hoodie
18:42 Background
19:46 Bridge
20:58 Trees
22:22 Finishing
23:21 Conclusion

Music by Bent Stamnes (https://twitter.com/gloom303)

Painting a Character with Maths

LIVE tutorial on the basics of Painting with Mathematics. Source code/math for the painting here: https://www.shadertoy.com/view/XssSRX
Support this channel: https://www.patreon.com/inigoquilez

More tutorials on maths , art, SDFs and computer graphics: https://iquilezles.org

Donate: http://paypal.me/inigoquilez
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Support: https://www.patreon.com/inigoquilez
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The basics of Painting with Maths

How to create a simple heart with mathematics.
Support this channel: https://www.patreon.com/inigoquilez

Code and real-time version: https://www.shadertoy.com/view/4lK3Rc
Tutorials on maths , art, SDFs and computer graphics: http://iquilezles.org

Donate: http://paypal.me/inigoquilez
Subscribe: https://www.youtube.com/c/inigoquilez
Support: https://www.patreon.com/inigoquilez
Twitter: https://twitter.com/iquilezles
Facebook: https://www.facebook.com/inigo.quilez

Making a heart with Maths

How to derive formula of the SDF of a Box, a common shape in procedural modeling.
Support this channel: https://www.patreon.com/inigoquilez

Tutorials on maths , art, SDFs and computer graphics: https://iquilezles.org

Donate: http://paypal.me/inigoquilez
Subscribe: https://www.youtube.com/c/inigoquilez
Support: https://www.patreon.com/inigoquilez
Twitter: https://twitter.com/iquilezles
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Soundtrack by Khrome:  https://www.facebook.com/KhromeMusic

The SDF of a Box

Visualizing the dynamics of the Collatz Conjecture though fractal self-similarity.
Support this channel: https://www.patreon.com/inigoquilez

Tutorials on maths and computer graphics: https://iquilezles.org
Code for this video: https://www.shadertoy.com/view/llcGDS

Donate: http://paypal.me/inigoquilez
Subscribe: https://www.youtube.com/c/inigoquilez
Support: https://www.patreon.com/inigoquilez
Twitter: https://twitter.com/iquilezles
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