How to bind View Date to model milliseconds with Angularjs

Question

I want to bind an input of type Date on the view
to a milliseconds property in the model with Angularjs.

For example :
the user set "09/23/2014" into the field
and angularjs automatically set "1411423200000"
into the model property binding with the input.

I don't find any directive or filter to do that.

Thanks for your help.

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UPDATE to detail my question.

Is there a "native" way in Angularjs to intercept
model to view AND view to model and convert my data ?

Answer 1

I found a solution with :

ngModel.$parsers.push(fromUser);  
ngModel.$formatters.push(toUser);  

With that, i change dynamically the data format during the binding.

See full solution in jsfiddle