When you connect to the first URL the web server is sending back a few headers. The header indicating the redirection is the "Location". I ran 
wget -O /dev/null -S 'http://images.imagefap.com/images/full/31/459/45
+9526477.jpg'

[download]
And note this part. 
  HTTP/1.0 302 Found
  Connection: keep-alive
  Location: http://85.17.40.9:99/31a/full/459/459526477.jpg
  Content-Length: 0
  Date: Thu, 17 May 2007 05:11:56 GMT
  Server: lighttpd/1.4.11

[download]
With regards to how you can see that with WWW::Mechanize I don't know but the docs read 
WWW::Mechanize is a proper subclass of LWP::UserAgent and you can also
+ use any of LWP::UserAgent's methods.

[download]
The docs for LWP:UserAgent indicate a HTTP::Response object is available and it's header() function might be what you are looking for.

In reply to Re: Finding the URL of this image by superfrink
in thread Finding the URL of this image by sulfericacid

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