JTS has a class for computing a Minimum Bounding Rectangle:

http://tsusiatsoftware.net/jts/javadoc/com/vividsolutions/jts/algorithm/MinimumDiameter.html

This may be in GEOS as well.

On 6/18/2012 9:36 AM, Brent Fraser wrote:
Madison,

I went looking a few months ago, but could find nothing. I wrote some PHP to:
    1. Find the length of the polygon (vertices farthest apart)
    2. Find the width (based on vertices farthest from length line)
3. Build bounding box using length (with angle of the the length line) and the width

I'm still pondering the result when the input polygon is a square...

But there should really be something like a "ST_ExtentRotated" or "ST_RotatedBBox" function in PostGIS.

Best Regards,
Brent Fraser

On 6/15/2012 2:03 PM, Madison Shaw wrote:
Hi,

I was wondering if any one could possibly offer some advice.

I am wanting to calculate the area for a minimum bounding rectangle
for individual polygon features.  I know I can use st_envelope or
st_extent along with st_area but this doesn't quite give me the
results I am after.

For example if the polygon was already a rectangle but was orientated
on an angle the bounding box area is much larger than the area of the
original rectangle, whereas I would like it to be the same value.  I
suppose what I am after is a convex hull but as a rectangle. Is this
possible?

Any help is greatly appreciated.

Cheers

Madison
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