Edit: I almost forgot, I created an entire website where I discuss this along with everything else you would ever need to know about uploading and downloading files. See http://mrme.me/lio/blog/. I created a website and chrome app called LIO (which I still need to finish). But I experienced some big pain points in getting a stylized working upload and download system for the images that would be uploaded to this app. So I decided to share what I learned in the process and created a blog about my experiences creating the LIO App.
See also Download File Using Javascript/jQuery
because of security measures you have no control over where the file is being saved, however, there is some control with chrome apps; i discuss that in my blog. So the best way of going about this is to download the file like so.
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var a = document.createElement("a");
a.href = the_pic;
document.body.appendChild(a);
a.click();
window.URL.revokeObjectURL(a.href);
a.remove();