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High Resolution 1:10,000 scale Mapping Strategy of Multi ... - NDMA

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• the perspective center <strong>of</strong> the center scan line (i.e., X, Y, and Z),<br />

• the change <strong>of</strong> perspective centers along the orbit,<br />

• the three rotations <strong>of</strong> the center scan line (i.e., omega, phi, and kappa), and<br />

• the changes <strong>of</strong> angles along the orbit.<br />

In addition to fitting the bundle <strong>of</strong> light rays to the known points, satellite block<br />

triangulation also accounts for the motion <strong>of</strong> the satellite by determining the<br />

relationship <strong>of</strong> the perspective centers and rotation angles <strong>of</strong> the scan lines. It is<br />

assumed that the satellite travels in a smooth motion as a scene is being scanned.<br />

Therefore, once the exterior orientation <strong>of</strong> the center scan line is determined, the<br />

exterior orientation <strong>of</strong> any other scan line is calculated based on the distance <strong>of</strong> that<br />

scan line from the center and the changes <strong>of</strong> the perspective center location and<br />

rotation angles.<br />

Bundle adjustment for triangulating a satellite scene is similar to the bundle<br />

adjustment used for aerial images. A least squares adjustment is used to derive a set<br />

<strong>of</strong> parameters that comes the closest to fitting the control points to their known<br />

ground coordinates, and to intersecting tie points.<br />

The resulting parameters <strong>of</strong> satellite bundle adjustment are: ground<br />

coordinates <strong>of</strong> the perspective center <strong>of</strong> the center scan line rotation angles for the<br />

center scan line coefficients, from which the perspective center and rotation angles<br />

<strong>of</strong> all other scan lines are calculated ground coordinates <strong>of</strong> all tie points<br />

Collinearity equation and satellite block triangulation<br />

Modified collinearity equations are used to compute the exterior orientation<br />

parameters associated with the respective scan lines in the satellite scenes. Each<br />

scan line has a unique perspective center and individual rotation angles. When the<br />

satellite moves from one scan line to the next, these parameters change. Due to the<br />

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