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A bunch of stuff toward cubic/cubic intersection.
Still prototype code, but it prints an intersection.
First step: apply min/max logic to existing parabola estimates. This may keep subdividing, so the next step will be a Frechet based bound. WIP, just the min/max estimates.
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I realize I had pushed the wrong branch. This is still quite messy (and should probably be replaced with a cleaner commit), but in any case, the interesting logic is in |
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I recently discovered there is actually an algebraic closed-form solution for cubic-cubic intersection! "All" you have to do is construct a Sturm sequence and solve a 9th-degree polynomial. Easy, really. There's an implementation here. |
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A prototype of a cubic/cubic intersection algorithm. The core of this produces better results than the "fat line" technique (see #199), but it's not made fully robust and is not wired up with a usable API. This draft PR just snapshots work in progress and hopefully is a step toward a real solution.