How can I make a UIScrollView scroll to a UITextView's cursor position?

I have a view which is similar to the notes app - i.e. typing on a lined piece of paper. To make the text and the paper scroll simultaneously, I have disabled the UITextView's scrolling, and instead placed both my UITextView and my UIImageView inside a UIScrollView.

The only problem with this is that, when the user types, the text disappears below the keyboard, because obviously the UIScrollView does not know to scroll to the cursor position.

Is there any simple way I can retrieve the cursor position and tell the UIScrollView to scroll there?

---EDIT---

Starting from something similar here (where someone was trying to do something similar with a UITableView), I have managed to make a growing, editable UITextView with a fixed background that almost scrolls perfectly. The only issues now are:

1. There is a slight judder as the text moves up if the user types particularly fast.
2. If the user hides the keyboard, selects text at the bottom of the screen, and then shows the keyboard again, they have to type a couple of letters before the text becomes visible again - it doesn't scroll up immediately.
3. When the user hides the keyboard, the animation as the scroll view's frame fills the screen doesn't feel quite right somehow.

Here is the code - I'd be really grateful if anyone can refine it further...

#import "NoteEditViewController.h"
#import "RLWideLabelTableCell.h"

@implementation NoteEditViewController
@synthesize keyboardSize;
@synthesize keyboardHideDuration;
@synthesize scrollView;
@synthesize noteTextView;

//
// Dealloc and all that stuff
//
- (void)loadView
{
    [super loadView];
    UIScrollView *aScrollView = [[UIScrollView alloc] initWithFrame:self.view.bounds];
    self.scrollView = aScrollView; [aScrollView re