Useful functions for game designers - Lagrange Interpolation @TheArtofCodeIsCool

The Art of Code | Useful functions for game designers - Lagrange Interpolation @TheArtofCodeIsCool | Uploaded January 2022 | Updated October 2024, 3 hours ago.
In science, technology and engineering it is very common to have to interpolate between data points. One of the many ways to do this is through Lagrange interpolation. In this video I'll go through how it works and if you go to desmos.com you can follow right along.

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

Starting point:
desmos.com

End Point:
desmos.com/calculator/zsnqrj1xu3

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

Check out my video about linear interpolation:
youtube.com/watch?v=NO5JGFJJ_Kk

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

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

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$Smoothstep: The most useful function The smoothstep function is used all the time in shader creation so I made a video about exactly how this function works, and how to derive it yourself. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode ShaderToy: https://www.shadertoy.com/user/BigWIngs PayPal Donation: https://paypal.me/theartofcode For a more indepth derivation of this function, check out Interpolation for Dummies: https://youtu.be/NO5JGFJJ_Kk To see what you can do by drawing ONE line after you have folded space, check out this video on the Koch fractals: https://youtu.be/il_Qg9AqQkE$

$The Mandelbrot Fractal Explained! Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode The Mandelbrot fractal, or Mandelbrot set as its sometimes called. Most people have seen its iconic shape and many of us have marveled at its beauty and complexity. It has become somewhat of a poster child for chaos theory and perhaps math in general and it is the go to example for what you can do with complex numbers. It is literally infinitely deep and in my mind, infinitely beautiful. But how does it work? Lets find out! Follow me on twitter @The_ArtOfCode$

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