Laravel call route action from URL

I'm creating a proxy layer in Laravel to decrypt an authentication token based on this article: http://ift.tt/1cKCwd3

I'm trying to figure out a good way to forward the requests though. I can catch a /proxy/some/other/route route and get the request method, params, headers and the /some/other/route string easily. I would like to match the route against all registered routes in Laravel and call the route action if it exists.

I could also simply forward the request by redirecting it, which would be fine, but this means the application would have to be bootstrapped twice per request which isn't as ideal.