In this video, we're using rotors from geometric algebra to transform one rotation into another. This video was made for the Summer of Math Exposition 3 hosted by 3Blue1Brown.
My Discord server: / discord
Shaders and Desmos graphs used:
www.shadertoy.com/view/ml2yRK
www.desmos.com/calculator/8yz...
www.desmos.com/calculator/nke...
www.desmos.com/calculator/ijp...
www.desmos.com/calculator/hnd...
www.desmos.com/calculator/9fq...
Music used:
'Ascension' by Scott Buckley - released under CC-BY 4.0.
'Adrift Among Infinite Stars' by Scott Buckley - released under CC-BY 4.0.
'Chasing Daylight' by Scott Buckley - released under CC-BY 4.0.
'Discovery' by Scott Buckley - released under CC-BY 4.0.
'Signal to Noise' by Scott Buckley - released under CC-BY 4.0.
www.scottbuckley.com.au
Chapter list:
00:00 Introduction
01:19 Linear Interpolation
02:47 What are Rotors?
03:12 Rotation Through Reflection
05:02 Bivectors
07:15 The Geometric Product
08:30 Defining a Rotor
10:41 Rotors as Transformations
11:49 3D Rotors
13:50 Interpolating Rotors
14:14 Rotor Difference
14:58 Linearizing Rotors
18:16 Linearizing 3D Rotors
21:18 Dynamic Interpolation
23:10 Dynamic Rotation Interpolation
24:41 Outro
Негізгі бет How to Interpolate Rotation -
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