Draw a smooth shape out of point array where points are in arbitrary order

hi folks,
I got a little problem I just can't get figured out:
- there's an array of points (x,y)
- the points inside this array are arbitrary
- now I need to find out which points define the outermost shape
- all other points that are inside this outermost shape may not be used
- and finally the shape should be smooth...
a picture of what I mean is to see here:
http://www.student-zw.fh-kl.de/~chgr0001/tmp/shape.htm
I wonder if there's a method in Java2D to do this?!
thanks for your help!

well,
it's about a class that draws an area based on coordinates out of a database.
These coordinates are originally from a GPS device and hold information about public WLANs. If someone walked around with his GPS and found WLAN data, this data together with the according GPS coordinates is stored in certain fractions of time.
Now my problem is that I want to present the areas, where you can get a WLAN link, on a map. To do so, I want to draw the outermost shape of a "walkaround with my GPS" session and colorize it with the average link quality.
Furthermore I like to have that shape smooth.
I would appreciate any hints on how to proceed and which methods of which classes are useful to do so.

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