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Higher order splines for use with pathfinding

In this page, Amit explains that splines can be used to achieve movement on a found path. In the picture below, he explains that: The blue paths use splines, with dark blue being low order ...
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How to follow object on CatmullRomSplines at constant speed (e.g. train and train carriage)?

I have a CatmullRomSpline, and using the very good example at https://github.com/libgdx/libgdx/wiki/Path-interface-%26-Splines I have my object moving at an even pace over the spline. Using a simple ...
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