To clarify, I'm interested in doing a simple animation that changes from one bitmap to another after a few seconds, and then repeats. For example, if I drew a frowny face, how could I set it to be removed after a few seconds, and replaced it with a smiley face?
Here's some example code
public class MySurface extends SurfaceView implements Runnable {
SurfaceHolder ourHolder;
Thread ourThread = null;
boolean isRunning = true;
Bitmap frowny;
Bitmap smiley;
public MySurface(Context context) {
    super(context);
    init(context);
}
public MySurface(Context context, AttributeSet attrs) {
    super(context, attrs);
    init(context);
}
public MySurface(Context context, AttributeSet attrs, int defStyle) {
    super(context, attrs, defStyle);
    init(context);
}
private void init(Context context) {
    // do stuff that was in your original constructor...
    ourHolder = getHolder();
    ourThread = new Thread(this);
    ourThread.start();
    frowny = BitmapFactory.decodeResource(getResources(),
            R.drawable.frowny);
    smiley = BitmapFactory
            .decodeResource(getResources(), R.drawable.smiley);
}
public void pause() {
    isRunning = false;
    while (true) {
        try {
            ourThread.join();
        } catch (InterruptedException e) {
            // TODO Auto-generated catch block
            e.printStackTrace();
        }
        break;
    }
    ourThread = null;
}
public void resume() {
    isRunning = true;
}
@SuppressLint("WrongCall")
public void run() {
    // TODO Auto-generated method stub
    while (isRunning) {
        if (!ourHolder.getSurface().isValid()) {
            continue;
        }
        Canvas c = ourHolder.lockCanvas();
        onDraw(c);
        ourHolder.unlockCanvasAndPost(c);
    }
}
@Override
protected void onDraw(Canvas canvas) {
    // TODO Auto-generated method stub
    super.onDraw(canvas);
    canvas.drawBitmap(frowny, (getWidth/2), (getHeight/2), null);
    //wait a period/remove frowny
    canvas.drawBitmap(smiley, (getWidth/2), (getHeight/2), null);
    postInvalidate();
  }
}