Restoring Into New Database

 Here is a scenario that I can't find in my training materials or elsewhere.  Database A is running fine, being backed up with rman regularly.  For whatever reason, the entire database is lost; datafiles, controlfiles, current logs, etc.  If I create a new Database B with dbca, what all would I need to do to restore it from the backups of database A?  Is there a better way than creating a new database, Database B?  If someone could direct me to a good resource for this, I would appreciate it.