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:

$$O^{(n+1)}(x,y) = O^{(n)}(x,y) [ \frac{I^{(n)}(x,y) + R^{(n)}(x,y)}{I^{(n)}(x,y)} * P(-x,-y) ]$$ (14.119)

and the regularization leads [39] to:

$$O^{(n+1)}(x,y) = O^{(n)}(x,y) [ \frac{I^{(n)}(x,y) + {\bar{R}}^{(n)}(x,y)}{I^{(n)}(x,y)} * P(-x,-y) ]$$ (14.120)