Regularization of Lucy's algorithm

 Now, define I⁽ⁿ⁾(x,y) = P(x,y) * O⁽ⁿ⁾ (x,y). Then R⁽ⁿ⁾(x,y) = I(x,y) - I⁽ⁿ⁾(x,y), and hence I(x,y) = I⁽ⁿ⁾(x,y) + R⁽ⁿ⁾(x,y). Lucy's equation is:

and the regularization leads [39] to: