I'm trying to allow the user the ability to move a rectangle around a canvas element using the draggable method.
This was my original thought but it doesn't work.
I have a fiddle set up at http://jsfiddle.net/r2Zbe/
$("button").click(function () {
var door = bgContext.strokeRect(20, 20, 50, 150);
door.draggable();
});
I would use something like fabricJs, it is much cleaner and easy to use.
jCanvas library says they can let you drag on canvas with jQuery. http://calebevans.me/projects/jcanvas/
They say nothing about jQuery UI though.
Disclaimer: I've never tried it.
Not sure about using jQuery UI with canvas, but if you are working with canvas you may want to take a look at EaselJS. It makes everything, including drag and drop, very simple.
EaselJS