If the title to the house is in your name and you and the property qualify (appraised value sufficient to retire existing financing) for new financing, it shouldn't be a problem for you to refinance.
This answer does not constitue legal advice, nor does it creat an attorney/client relationship. If you are seeking legal advice upon which you intend to rely, you should hire competent cousel familiar with this area of the law in your locale.
If you wish to refinance a loan, it is the borrower of that loan that would be refinancing it. It sounds like your Father is the borrower so he would have to refinance it. Did he recently transfer title to you via a grant deed or quit claim deed? If you want the loan in your name, you may need to arrange for a loan in your name and then payoff your Father's loan. If your father wishes to refinance the loan, you can grant deed it back to him or to you and him in some capacity and then he can refinance it.