Image Understanding

The iterative formulas for solving eq. (3.115) and eq. (3.116) are

$p^{\left(n+1\right)}={\overline{p}}^{\left(n\right)}+\frac{1}{\lambda }\left[E\left(x,y\right)-R\left(p^{\left(n\right)},q^{\left(n\right)}\right)\right]\frac{\partial R^{\left(n\right)}}{\partial p}\left(3.117\right)$

$q^{\left(n+1\right)}={\overline{q}}^{\left(n\right)}+\frac{1}{\lambda }\left[E\left(x,y\right)-R\left(p^{\left(n\right)},q^{\left(n\right)}\right)\right]\frac{\partial R^{\left(n\right)}}{\partial q}\left(3.118\right)$

Example 3.11 The flowchart for solving the image brightness constraint equation.

The flowchart for solving Eqs (3.117) and (3.118) is shown in Figure 3.33. It in principle can be used for solving eqs. (3.53) and (3.54), too.

Example 3.12 Illustration of the shape from shading.

Two illustrations ...