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The Best Oriented Bounding Box Criteria

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Which criteria do u apply to find the best OBB? I mean: it's better to have OBB with minimum surface area or minimum volume or something else?

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It partially depends on what you need the bounding box for. If you're using it to, say, reduce ray-object collision checks in a ray tracing solution, then minimum surface area is optimal. If you're using it to "stack" geometry into a limited space, minimum volume is optimal. Collision detection also usually benefits from minimum volume.

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