securing a gold medal in high school
I don't think "securing" is the best verb here. You can choose a different one, and it will probably be better. To secure something is to ensure control of it... and although it is not bad the way you use it, I think it is not the best choice.
NUST is the first and only institution in Pakistan to have the honor of being ranked in the top 400 universities in the world by QS World University Rankings.---I don't think this should be the last sentence of the first paragraph. The last sentence of the first paragraph leaves the reader with an idea to think about as she tries to interpret the theme of the essay. Express your theme at the end of that first paragraph.
I am really interested in "Adaptive Filtering" and "3D image Geometry"----I think these should be given a whole paragraph of the essay. If these are the things you are interested in, they deserve to be a big part of your "purpose" that you are stating in this sop. Show the reader how proactive you are about studying the things that interest you.
:-)