This study will determine whether the drug celecoxib (Celebrex® (Registered Trademark)) can help stabilize or improve vision in patients with age-related macular degeneration (AMD) who are receiving photodynamic therapy, or PDT (also called cold laser treatment). The macula is the part of the retina in the back of the eye that determines central or best vision. AMD can severely impair central vision, affecting a person's ability to read, drive, and carry out daily activities. This vision loss is caused by the formation of abnormal new blood vessels in the choroid-a thin, pigmented vascular layer of the eye behind the retina-that leak blood under the macula. PTD stops the growth of these blood vessels and slows the rate of vision loss. However, the treatment usually does not cause vision to improve, and it has only a temporary effect, requiring several treatments over 2 years. Furthermore, PDT does not work in all patients and may actually cause some swelling and re-growth of blood vessels. Celecoxib is an anti-inflammatory drug that, in animal studies, has prevented the growth of abnormal blood vessels associated with tumors and with injury to the cornea. Thus, the drug might reduce swelling and prevent vessel re-growth in AMD, enhancing the effectiveness of PDT.