Is there an existing function to do this? No.
Is it easy to write such a function? No, not if

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.47.3370&rep=rep1&; type=pdf

is the simplest algorithm for solving this problem in general terms.

An interesting problem, though. Would be useful for labelling purposes.

On 12/4/2013 2:06 AM, tommaso wrote:
Hello, I need to calculate the biggest rectangle which is contained within another polygon. A sort of inner envelope or inner bounding box. I found this interesting article: http://cgm.cs.mcgill.ca/~athens/cs507/Projects/2003/DanielSud/
Is it possible in Postgis?

I have attached a picture with a example of what I need.


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