Ln52a650a1fxza picture blurred rightside until it warms up

In Google type the following:
ln52a650a1fxza specs

With a DLP TV, getting a darker picture means it is time to change the bulb.

Yes. Very possible. It could also be a bad soldering joint.

Adjust focus of a projector.

Make sure a projection screen is at least 4.1' (1.2m) from the projector.

Check Projection Lens to see if it needs cleaning.

NOTE : Moving a projector from a cool temperature location to a warm temperature location

may result in moisture condensation on Projection Lens. In such an event, leave a
projector OFF and wait until condensation disappears.

With blur, the problem could be the camera, but is usually due to the photographer. You can try using flash, decrease the distance to your subject, before you take the picture, hold the camera very, very still until after the picture is taken. If these things fail, the camera might be defective.

If the problem doesn't return after the picture becomes normal, then it could just be due to the electron gun taking longer to fire up. I don't know how old your TV is, but TVs older than ten years typically take longer to warm up than more modern sets.

I think your camera has a diopter adjustment. If it does, it'll be located on the right side of the eyepiece. It's a small wheel with a + and -. Adjust that until the image is clear.
-or-
It's possible that it is in need of cleaning. If you plan to remove the focusing screen, be exceptionally careful not to scratch it. Has it been subjected to extreme moisture conditions?

Your TV requires Geomatirc Adjustments in proper manner by qualified servcie person.

Blurness doesn't happens because of the number of the pixels in the cameras.
Is the picture on the computer screen blur/the cameras screen or the lens hole?

I suggest you to set the camera on Automatic station (red camera on the wheel) in day light,try to stay still see how blur the photos are when you are not playing with the parameters. it it's still blurry it could be the pulley block next to the -eyepiece. roll it until it's not blur.

goodluck