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The Number One Educational Resource for the Game Industry

Session Name: Math In Game Development Summit: Deep Dive: Quaternion Springs
Speaker(s): John Austin
Company Name(s): Pontoco
Track / Format: Math In Game Development Summit

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Overview: It seems like a rather simple challenge: apply a spring to a quaternion so that it smoothly rotates between different orientations. However, most simple approaches will fail, creating oddly curved trajectories or failing under large forces. This is a common behavior that many games might need for targeting, animation, and physics. Why is this so challenging?nnIn this talk, we will do a deep dive into the creation of a mathematically accurate quaternion spring. We'll learn how to take the derivative of a quaternion, explore concepts such as the swing-twist decomposition, and emerge on the other side with a fully working quaternion spring implementation, fit to be dropped into any game project.nnThe math isn't all that complex, and plus, visualizing the 4th dimension is a ton of fun!

Game Developers Conference 2022

John Austin

Pontoco

free content

Math In Game Development Summit

Programming