Useful functions for game designers - Cosine Interpolation @TheArtofCodeIsCool

The Art of Code | Useful functions for game designers - Cosine Interpolation @TheArtofCodeIsCool | Uploaded January 2022 | Updated October 2024, 1 hour ago.
While working on a previous video about Lagrange interpolation, I figured that it would be an interesting exercise to go over some other kinds of interpolation. In this video we go over piecewise linear, and cosine interpolations.

========== Social Media Links ==========

Twitter: @The_ArtOfCode
Facebook: facebook.com/groups/theartofcode
Patreon: patreon.com/TheArtOfCode
ShaderToy: shadertoy.com/user/BigWIngs
PayPal Donation: paypal.me/theartofcode

========== If you want to follow along ==========

Starting point:
desmos.com

End Point:
desmos.com/calculator/cfumbhj3yk

========== Other videos to watch ==========

Linear interpolation:
youtube.com/watch?v=NO5JGFJJ_Kk

Lagrange interpolation:
youtube.com/watch?v=4S6G-zenbFM

Or using smooth minimums:
youtube.com/watch?v=YJ4iyff7zbk

Or using Hermite interpolation (smoothstep):
youtube.com/watch?v=60VoL-F-jIQ

ShaderToy Tutorial Part 4 - Domain distortion

$Making a Mandelbrot fractal explorer in Unity$

$Live Coding: Koch Fractal Magic In the last video we made a fancy 3d fractal Christmas ball by using a Koch Snowflake curve. I mentioned there that there are multiple ways to use this curve to get 3d fractals. In this video we use another technique to get something completely different. If you like 3d fractals, this is a great video to watch. Timetable 0:00 - Intro 0:56 - Start 1:52 - Drawing using Koch coordinates 12:14 - Drawing in 3d 19:36 - Lighting 20:45 - Shaping the fractal 23:05 - Background 26:20 - Outer layer 30:17 - Fade background 31:30 - More tweaking 33:00 - Domain repetition 35:13 - Outro Social Media Links Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode ShaderToy: https://www.shadertoy.com/user/BigWIngs PayPal Donation: https://paypal.me/theartofcode FX Hash (NFTs): https://www.fxhash.xyz/u/The%20Art%20of%20Code NFT of this video https://www.fxhash.xyz/generative/15827 If you want to follow along Starting point: https://www.shadertoy.com/view/sdtcR2 End Point: https://www.shadertoy.com/view/sddfDN Other videos to watch 2D Koch Fractal explained!: https://youtu.be/il_Qg9AqQkE 3D Koch Fractals Part 1: https://youtu.be/ dSLc7-Cpo ShaderToy for complete beginners: https://youtu.be/u5HAYVHsasc Writing a ray marcher: https://youtu.be/PGtv-dBi2wE Booleans Explained: https://youtu.be/AfKGMUDWfuE$

Useful functions for Game Designers: Easing Functions

ShaderToy LiveCoding - The Drive Home - 5. Environment