Hi Stefan,

>Like Matthias (he is still alive ;) I can only think about a minimum 
>bounding rectangle, that you are speaking of.

I'm still alive for sure! Never have been dead (yet)...

There seems to be a bit of confusion about the terminology here. I remember I 
had a discussion about that with Cécile 
(I see in the source code that you are referencing her).

The term Minimum Bounding Rectangle seems to be widely used for the 
axis-parallel bounding rectangle only. I also 
found the term Smallest Enclosing Box for this, as well as some combinations...

For the non-axis parallel problem I found the terms Minimum Area Rectangle, 
Minimum Area Bounding Rectangle, Minium 
Area Enclosing Rectangle and Smallest Enclosing Box.

>
>I have done once an implementation of it, which is rather heavy (i.e. 
>created a new class) as I use it to obtain several other parameters from 
>it. The code can be found in the MapGen Toolbox for OpenJUMP (note the 
>special license which is derived from the Apache license)

I just had a short look at this class - is there a plugin available that makes 
use of it?

I don't want to nag about your code ;-) but I remember to have seen an 
algorithm that 
does not make use of trigonometric functions, and thus is probably faster. I 
guess I found it in the 
Numerical Recipes (3rd edition, chapter on Computational Geometry). I cannot 
confirm this since I 
have no access to that book right now. Does anyone on this list maybe can look 
that up?

Matthias


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