Swept Volumes via Spacetime Numerical Continuation
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Swept Volumes via Spacetime Numerical Continuation
Given a solid 3D shape and a trajectory of it over time, we compute its swept volume – the union of all points contained within the shape at some moment in time. We consider the representation of the input and output as implicit functions, and lift the problem to 4D spacetime, where we show the problem gains a continuous structure which ...
May 31, 2021
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