Some Background Info
As of Mar/Feb 2014, the Facebook sharer.php way of sharing content no longer accepts custom parameters. See response from a Facebook engineer.
It used to allow multiple parameters in this form:
http://www.facebook.com/sharer.php?s=100
&p[url]={url}
&p[images][0]={img}
&p[title]={title}
&p[summary]={desc}
So you could override the title, image and description that facebook would scrape from the page, but it seems these are now ignored.
Instead, Facebook now favours the opengraph tags on the page.
So why is this a problem?
This is my scenario: I have a gallery page with multitple images. I have a lightbox that loads an image when clicked, and when the lightbox is shown, I also show share icons for all the major social networks, including facebook.
The facebook sharer url is built up using the above format, so I pass in the specific image together with the image caption. These values are now ignored.
Feed Dialog To The Rescue?
The Feed dialog method of sharing is now the preferred method, and it supports passing in custom images and captions. It works perfectly in my above gallery scenario. But it has a limitation: it does not allow you to share the content on a page you manage like the sharer.php does:

So my question is...
How can I get the Feed Dialog to work like the sharer.php and give the end-user the option to share to a group, friend's timeline or a page he/she manages?
toparameter, but with that you would have to build your own UI to have the user chose the target prior to calling the Feed dialog. // The whole thing would be much easier, if you actually had individual URLs for each of your pictures – that way, you could provide individual OG meta information under each URL easily. - CBroe