Intensity degradations are a familiar problem for fluorescein angiogram sequences. In this paper, we attempt to restore a noisy fluorescein angiogram, and to keep the high intensity pixels from degrading. To this end, we incorporate a new constraint, called intensity constraint, to Miller's regularization formulation with a smoothness constraint. Considering the specified requirement for fluorescein angiograms, we also modify the Q-th order converging algorithm for implementation purpose. In our scheme, including its formulation and implementation, image restoration can not only handle the traditional problems, such as blur and noise, but also achieve an important feature, intensity preservation. The experiments show that our approach has satisfactory results in the two aspects.