Low quality render help This is my first post.

I am new to Blender and am following a tutorial to simulate an ink drop using smoke particles.

I have set up the simulation and have rendered some stills with cycles but no matter what i do i can't seem to get a crisp image. 

I have cranked up the number of samples and have the image resolution at 1920x1080 (same as my computer monitor). It looks great when i zoom out to 1/3 the size of the image but when it is displayed fullscreen, it has this very low quality look to it. Not sure what i am doing wrong here. Please have a look at the images. I was hoping to upload my project file but couldn't figure out how to.

Below are images of the render and the render settings.




Many thanks in advance.
Quick and dirty:
when the render looks fine when zoomed out just double the resolution and it should look good when displayed in screensize.