FYI, older Samsung's like yours began having capacitor problems a few years ago. There was a class action lawsuit and Samsung agreed to fix those capacitors for free. Go to Samsung's website and search for the Alert that describes the situation and the models affected. The primary symptom is a TV that has a hard time turning on, often with clicking sounds that cycle for up to several minutes before the picture appears. Basically, Samsung will repair this for free, even though the warranty has expired.
It's hard to tell what your problem is with that photo, since I don't know what it's supposed to look like. Add a description or a different, easy to see, photo. There are websites that display symptoms of certain problems (such as bad connectors) and how to fix them.... check them out. Google your problem on the web to understand it better. If capacitors cause your problem, contact Samsung. If not, try to get a good estimate of what a repair might cost. It may be better to just pick up another TV. I just put down the paper and Sears has a 46" 60Hz Samsung LCD for $499.