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Help understanding a linear scale

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I need to create a project that continually zooms into radial artwork, or more specifically, artwork is being continually scaled up so it appears that the "camera" is zooming into it. For reference, something like this music video, but more with static art, not video.

 

Scaling art from small to large using a simple 2-keyframe animation gives me a confusing result. The rate of scaling appears to slow down over the course of the animation, but I want it to be a constant rate. I've checked the graph editor and the animation between keyframes is linear. Am I missing something fundamental about animating scaling?

 

To be clear, if I have a piece of art with 8 dots in a circle around the center, I want their speed as they travel to the edge of the canvas to be consistent. But in this simple setup, their speed slows down over time.


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