Registration of satellite data with cartographic data

Valid matches allow us to improve the registration.

We use affine geometry which does not take the relief into account:
 
 

$$(x_r,y_r,1)^T =\left(\begin{array}{ccc}\Phi_{1,1} & \Phi_......\left(\begin{array}{c}x\\y\\1\\\end{array} \right)$$

An improvement of the registration is performed using the valid matches obtained after the qualification step. The optimal registration matrix is written as follows:
 
 

$$arg\{\min (\overline{D_{val}}(({\cal I,C}),Mat))\}$$

With
 
 

$$\overline{D_{val}}(({\cal I,C}),Mat)=\frac{1}{N_{val}} \sum_{(S_i,S_c) valid} D(S_i,S_c)$$

This functional is minimized by the Powel method.
 

November 1998