ImageMagick falls short here. You can convert between the different pixel formats, and you can convert a vector file to a bitmap type, but it doesn’t convert pixels to vectors. Inkscape can convert pixmap to vectors. There’s also an online tool called Vector Magic.
I hate PDFs! I hate opening the viewer and sitting there, waiting for it to load, then dealing with the pop up asking me to update my software. I wish they were like regular text files or images, and not some twisted mutant hybrid of both with all the shortcomings from each side! So… now I just convert PDF’s to JPEG images!!! I love ImageMagick. It’s just so freaking useful… and free.
Here’s a very simple script to convert PDF’s to JPG’s: