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Point 8 could be done also by means of https://github.com/humanoid-path-planner/hpp-centroidal-dynamics. |
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It would be very much appealing to exploit the whole surface of SQ and not just its cardinal points. We can employ the same methodology of #11, where the SQ's surface gets meshed using CGAL for fast intersection and normals retrieval.
Given the mesh and the normals, we take out portions based on some geometrical considerations, and then we can apply random sampling (~ brute force):
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