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Spectral Unmixing Applied to Desert Soils for the - Naval ...

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occurs on a sub-pixel level (Boardman and Kruse, 2011). The MTMF method has proven<br />

successful at leveraging mixing between a point of interest and <strong>the</strong> background <strong>to</strong><br />

eliminate such problems as false alarms during <strong>the</strong> analysis process (Boardman and<br />

Kruse, 2011). Through <strong>the</strong> combination of spectral unmixing, MF, and convex geometry,<br />

MTMF excels at accurately mapping subtle sub-pixel targets with sufficiently reduced<br />

false alarms (Boardman and Kruse, 2011).<br />

Figure 20. This figure from Boardman and Kruse (2011) shows how mixing in a<br />

picture element (pixel) occurs based on 2 (left) and 3 (right) endmember<br />

concepts. The 3 endmember example shows how this occurs both spatially<br />

and spectrally within <strong>the</strong> pixel.<br />

The MTMF method is broken in<strong>to</strong> <strong>the</strong> following steps: pre-processing and data<br />

preparation, MF abundance estimation, and mixture tuning (MT) <strong>to</strong> reject any false<br />

positives (Boardman and Kruse, 2011). Be<strong>for</strong>e MTMF can be conducted, it makes sense<br />

<strong>to</strong> first derive endmembers from <strong>the</strong> data using <strong>the</strong> hourglass method illustrated in Figure<br />

21 (below) (Boardman and Kruse, 2011). For <strong>the</strong> purposes of this research, endmembers<br />

have been derived both from <strong>the</strong> data using <strong>the</strong> hourglass approach described in<br />

(Boardman and Kruse, 2011), as well as via <strong>the</strong> use of a spectral library created using <strong>the</strong><br />

ASD collected spectra. Imagery derived endmembers come from <strong>the</strong> AVIRIS flight lines<br />

41

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