adding to the uploader

This is what I would like to do. I want when I upload an image with the uploader, and I select:

Show: Full Size
Link to: None

and send it to the editor, I would like it to add class=”centered” to the end of the <img src> html.

For example, right now, when I send an image to the editor, I get:

<img src="images/whatever.jpg/>

and I would like to get

<img src="images/whatever.jpg" class="centered"/>

Is this possible?

Thanks!!