JPEG image problem

So my problem is with one of the Jpeg's I am working with. The things with Jpegs is that if you change even the slightest part of its HEX file, the whole image just gets screwed up. I zeroed out about two lines from the BODY of this JPEG and it blew up by giving me this crazy green layer on half of the image. Other image formats wont really do this. It has something to do with the JPEGS storing references to similar colors as opposed to storing a separate data for every pixel. My question is, is there any way to lessen the effect that occurs as a result of missing even a single line of data from the HEX file? Ideally I would be looking for a program that can make it somewhat visible.

Thanks, Daniyal