Talk:Minimum bounding rectangle

"also known as bounding box"?
That's strange, because bounding box redirects to minimum bounding box. —Kri (talk) 00:09, 24 July 2011 (UTC)

*Minimum* bounding rectangle?
Is the illustration wrong, or am I misunderstanding something?

If you rotate the box about ten degrees clockwise, you can significantly reduce its area. If it is supposed to be minimal, there'd be no way to reduce it any further, would there? Unless the bounding box were defined to be aligned to the coordinate system, which doesn't sound right, and would warrant special mention in any case. The text talks about "the maximum extents of a [...] set of objects within its (or their) [...] coordinate system", but it doesn't require the box to be axis-parallel, does it?

Here's a modified version of the image for illustration, sorry for the wall of code but I can't upload atm:

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