Android :: Handling Expensive Operations In UI Thread

OK I'm reading this page:
http://developer.android.com/guide/appendix/faq/commontasks.html#thre...

The code is as in the example (see below). In my application, the worker thread has done loading of large bitmaps, and I need to notify the UI thread the filename of the bitmap that was loaded as they get loaded. How can I notify the UI thread of the filename of the bitmap just loaded? I can see anyway to for updateResultsInUi() to be able to take a parameter from the example below.

public class MyActivity extends Activity {
[ . . . ]
// Need handler for callbacks to the UI thread final Handler mHandler = new Handler();
// Create runnable for posting final Runnable mUpdateResults = new Runnable() { public void run() { updateResultsInUi();
} };
@Override protected void onCreate(Bundle savedInstanceState) { super.onCreate(savedInstanceState);
[ . . . ]
} protected void startLongRunningOperation() {
// Fire off a thread to do some work that we shouldn't do directly in the UI thread
Thread t = new Thread() { public void run() {
mResults = doSomethingExpensive();
mHandler.post(mUpdateResults);
} };
t.start();
} private void updateResultsInUi() {
// Back in the UI thread -- update our UI elements based on the data in mResults
[ . . . ]
}