The Tempest is an Imaginative Journey due to Prospero's conjuring the party onto the tropical island. From this beginning, the results of this process, and each character's own journey (Particularly Prospero) are depicted throughout the text.
Further 'Imaginative' elements of The Tempest include the indeterminate, fantastical setting of the island. No pretences toward realism are made, and additionally, other journeys are reflected throughout the text. For instance, many commentators believe that Prospero's final speeches are intended as an allegory for the end of Shakespeare's career, his own 'journey' as a playwright. (The only play he wrote following this was Henry VIII, and I believe that was a colloboration.)
By my so potent art. But this rough magic
I here abjure; and, when I have requir'd
Some heavenly music- which even now I do-
To work mine end upon their senses that
This airy charm is for, I'll break my staff,
Bury it certain fathoms in the earth,
And deeper than ever did plummet soudn
I'll drown my book-Prospero, Act V, Scene I, lines 50-57.
There is also a fine sumnation of the various journeys undertaken by each character stated in Act V, Scene I;
Was Milan thrust from Milan, that his
issue
Should become Kings of Naples? O, rejoice
Beyond a common joy, and set it down
With gold on lasting pillars; in one voyage
Did Claribel her husband find at Tunis;
And Ferdinand, her brother found a wife
Where he himself was lost; Prospero his dukedom
In a poor isle; and all of us ourselves
When no man was his own.-Gonzalo, Act V, Scene I, lines 204-214.
In a sense, its a paradox, that on an imaginative journey, (This is within the text itself), several very real changes occur throughout, adding a note of empathy to the responder's own journey.