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You are correct, I can extract a rough 2D bounding box by drawing a box around the 3D box projection (marked in red).
My actual goal is to have an accurate 2D bounding box (marked in green).
I'm unaware of an easy way to find the tight green bounding box from the 3D bounding box. Alternatively you can find a rotated bounding box that's fits the object tightly.
Is there a way to extract accurate 2D bounding box data from the 3D bounding boxes?
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