In this video, I'll derive the formulas for doing linear and spherical interpolations between two vectors. In deriving the latter formula, we will use rotors, an object used in geometric algebra. We will also discuss normalized linear interpolation and contrast it with spherical interpolation.
References / Further Reading:
1. Lasenby and Doran's "Geometric Algebra for Physicists".
2. en.wikipedia.org/wiki/Slerp
3. web.mit.edu/2.998/www/Quaterni...
4. run.usc.edu/cs520-s15/assign2/...
Note: This video builds off prior videos in this series, particularly:
1. Fundamentals in 2D: • Geometric Algebra in 2...
2. Rotors: • Geometric Algebra - 3...
Негізгі бет Ғылым және технология Geometric Algebra - Linear and Spherical Interpolation (LERP, SLERP, NLERP)
Пікірлер: 53