Question

What objects can be passed as arguments to the link, controller and compile functions in AngularJS?

Answer 1

All the information your looking for is available on AngularJS documentation website.

function compile(tElement, tAttrs, transclude) { ... }

function link(scope, iElement, iAttrs, controller) { ... }

function controller(scope, element, attribute, transcludeFn)

Look under Writing Directive Long Versions

http://docs.angularjs.org/guide/directive