You can pass in an expression to the alt attribute:
<img alt="{{user_image}}" src="/images/profile_images/{{result.image}}">
Edit: Doh, misread your question. In your controller (or the service which provides the image to the controller), you can set result.image to the user's image or the default image.
Another option is to use conditional logic in ng-src:
<img ng-src="{{ result.image || 'default_user.jpg' }}"/>
This will set the src to result.image if it exists, otherwise to the default.
Personally, I like the first option better since it keeps logic out of the view, but I bet you could find someone who would argue that it belongs in the view since it is view logic.
Edit 2: here is a plnkr: http://plnkr.co/edit/vfYU8T3PlzjQPxAaC5bK?p=preview