[TYPO3-dev] Running backend module outside of backend

[Julius]

I  am currently building an extbase-based module, which is intended to 
be run outside of regular typo3 backend. I know how to setup typo3 
framework with init.php and dispatching  calls in  own  my index-script  
to  the  according backend module, but got stuck on the login to forward 
it to my script. Are there any examples or help how to realize this, to 
get a glue for a smart solution?
Thanks for any help.