I would like to use the Rest-Easy framework to develop my application. My application is VOIP (telephony) related. It can :
Those phone calls are not saved and thus are not considered as resources in my application.
How should I name the rest url to originate a phone call ?
Same goes for transfer (where 3 parameters (phone numbers) are required).
REST has nothing to do with the URL design and there's no such thing as "REST URL".
However, once REST is resource-oriented, I strong advise you to pick a URL that describes your resource (a call in your situation).
I would recommend the following (sending the parameters in the request payload):
POST /calls HTTP/1.1
Host: example.org
Content-Type: application/json
{
"from": "number goes here",
"to": "number goes here"
}