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1 Spatial Modelling of the Terrestrial Environment - Georeferencial

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Remotely Sensed Topographic Data for River Channel Research 121<br />

is suspected that photogrammetric error is likely to be greater (see below), so that <strong>the</strong>se<br />

global estimates <strong>of</strong> surface quality are not necessarily reliable. Thus, we have <strong>the</strong> basic<br />

challenge that <strong>the</strong> remainder <strong>of</strong> this chapter seeks to address. We need: (1) to find out which<br />

data points are in error; and (2) to attempt to explain why <strong>the</strong>y are in error to allow ei<strong>the</strong>r<br />

data re-collection or to justify correction. This should lead to <strong>the</strong> removal <strong>of</strong> blunders and<br />

<strong>the</strong> reduction <strong>of</strong> systematic error, to produce a surface that is <strong>of</strong> a higher quality, where that<br />

quality is controlled by random error and defined by equation (2) above.<br />

6.4 Error Identification<br />

Central to <strong>the</strong> error identification methods that were evaluated and applied is automation in<br />

order to deal with <strong>the</strong> large number <strong>of</strong> data points that needed to be checked. First, image<br />

analysis using unsupervised two-way classification <strong>of</strong> rectified imagery was used to remove<br />

wet and vegetated data points (Figure 6.2(b)). Second, <strong>the</strong> stereo-matching process also<br />

produced a map identifying which data points had been unsuccessfully matched, and hence<br />

which needed to be interpolated. The result <strong>of</strong> <strong>the</strong>se two components <strong>of</strong> post-processing<br />

was <strong>the</strong> distribution <strong>of</strong> data points shown in Figure 6.3 for February 2000. The automated<br />

identification <strong>of</strong> error needed to focus upon <strong>the</strong> individual point errors and banding shown<br />

in Figures 6.2(b) and 6.3.<br />

6.4.1 The Identification <strong>of</strong> Localized Error<br />

The photogrammetric data collection process included an element <strong>of</strong> post-processing to<br />

remove extreme point elevations. This involves a local variance based filter, based upon <strong>the</strong><br />

Chauvenet principle (Taylor, 1997) with a point rejected if:<br />

z ij − z => mσ z (6)<br />

where z ij is <strong>the</strong> point being considered, z is <strong>the</strong> average elevation defined for all data points<br />

Figure 6.3 The data points left in <strong>the</strong> surface after removing vegetated and inundated points<br />

shown in Figure 6.2(b)

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