Is there a connection between frodo and sauron?

[Secret Fire]

It may be possible, however, that Smeagol and Frodo would have a better understanding about how Sauron thought and worked because they were inexhorably bound to him by the fact that the ring was a part of Sauron. We can see this when Smeagol talks about the working of the eye and how it watched more places than others. I am not saying that Frodo and Smeagol could read people's thoughts as Gandalf and Galadriel could, but that in their own way, according to the power of its host, the ring bestowed them some insight into how Sauron thought. We can also see a difference in Frodo's thought processes as he moves closer to Mordor, going from the simple, carefree hobbit plunged into a quest to Frodo the Great, (paraphrase mine) who could control the thoughts and actions of others, he was corrupted by the deception of the Ring and its promises to give him power and respect, much as it gave Sam the vision of his large, beautiful Mordor with countless gardeners doing his bidding. The ring promised what it could not give to them much as Sauronpromised the Elves of Eregion when the rings were originally formed.