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Global shutter is considered to be distortion-free and it's true... unless we approach the speed of light. As
phys.org article points, a shot of a moving and rotating wheel may exhibit rolling shutter-like distortions, if it moves at relativistic speed:
Here's why: "
When an object is moving close to the speed of light, relativistic effects occur. For example, to an external observer an object moving very fast appears squeezed in the direction of the object’s motion (Figure above). This so-called Lorentz contraction arises from the timing in which light from the fast-moving object arrives at the observer. Bliokh and Nori have now shown that if such an object also rotates at the same time, for example a flywheel, then the rotating motion is also affected. The spokes in the wheel appear distorted in a way that makes them seem denser in one direction than the other."
On the other hand, a rolling shutter with carefully chosen curtain speed in the direction of movement can compensate for, at least, the squeezed shape of the wheel.
P.S. A
Youtube video explains the propeller picture:
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