WP7 Mango: How do I delete a live tile?

I'm creating a live tile on the device with the following code:

ShellTile tile = ShellTile.ActiveTiles.FirstOrDefault();
StandardTileData newTileData = new StandardTileData
{
    BackgroundImage = new Uri(string.Format("isostore:{0}", DefaultLiveTilePath), UriKind.Absolute),
    Title = "Test"
};
tile.Update(newTileData);

At a later point I would like to delete the live tile image and have it revert to the app icon when pinned. Is this possible?