 Participants will be randomly assigned to take celecoxib or placebo an inactive, look-alike pill. Participants who have elevated cholesterol levels may return for a brief visit after 1 month. All patients will return for follow-up visits at 3, 6, and 12 months. Patients who require laser treatment will be randomly assigned to one of the two laser treatments. For these procedures, eye drops are put in the eye to numb the surface and a contact lens is placed on the eye during the laser beam application. Several visits may be required for additional laser treatments. The maximum number of treatments depends on how well the treatment is working. Patients who respond well to the study medication may receive no laser treatments. After the first year, patients will be followed every 6 months until either the patient returns for a 3-year visit, the last enrolled patient returns for the 1-year visit, or the patient requests to leave the study. During the follow-up visits, patients response to treatment will be evaluated with repeat tests of several of the screening exams. 