Safari has a problem displaying certain images
It does work on my MBA 10.9.2 Safari 7.0.3 ?

At the moment I do not know what is causing it on your computer. 

Here are some initial findings:

That site has some bad formatting to begin with:

For example if you change the Margin to 3 instead of 0 the magnifier will no longer go outside of the image area, which is the first indication of a problem with that link.

&lt;body style="margin: 3px;"&gt;&lt;img style="-webkit-user-select: none; cursor: -webkit-zoom-in;" src="http://i.imgur.com/GqQchYM.jpg" width="166" height="222"&gt;&lt;/body&gt;


The image is set to display in width=166 , height=222, while the Natural size is 3120x4160.

UPDATE:

Since It works on my computer I would say it is your specific Safari installation.

We could go in to trying to repair your Safari (I do not know a quick way to do it)!?, but to be honest, if you have that problem on a bigger scale, I would recommend to reInstall Safari. Unfortunately that means reInstalling Mavericks. So the choice is yours.