I am working on the development of a simulator to generate synthetic data for low-level vision tasks. All you need to know is that a simulator moves multiple foregrounds over a background. I am using Bezier curves as trajectories with randomly picked control points. However, I would like to add more complex trajectories than just a smooth Bezier curve. For example, foreground stopping and changing direction, accelerating and decelerating. Can you think of more examples of physically realistic trajectories and how to create them, please let me know.

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