Twitter – share button, but with image

I want to use regular share button like on this page but to add an embedded image from my site, not just link.

I know all about 1.1 api and …

Re-render Tweet button via JS

I used to use this snippet to re-render a Tweet button.

var tweetButton = new twttr.TweetButton(twitterScript);
But it looks like widgets.js ( …