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

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

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after atmospherically correcting the data using the FLAASH method described previously. As Figure 21 illustrates, once the endmembers have been identified, the next step is to perform MTMF to determine where endmembers occur within an image and what their abundances are within a given pixel. Once this has been conducted, maps of this information can then be generated (Boardman and Kruse, 2011). Figure 21. This figure shows the processing methods for spectral mixing analysis using the N-dimensional approach adapted from Kruse et al., (2003) and Boardman and Kruse (2011). a. The Hourglass Approach The hourglass method is suitable for the purposes of this study because it allows for accurate endmember extraction without any prior knowledge of location details (Boardman and Kruse, 2011). In general, the hourglass method converts radiance data to apparent reflectance (required for spectral analysis) using an atmospheric correction model (in this case FLAASH). The minimum noise fraction (MNF) (transformation resulting in new components being ordered by image quality (Boardman 42

and Kruse, 2011; Green et al., 1988)) portion performs noise suppression within the data as well as some reduction in both spatial and spectral space. Pixel Purity Index (PPI) determination is where the purest pixels (endmembers) are identified using convex geometry. Endmembers are then visualized through utilization of the n-dimensional visualizer in the ENVI software package. The endmembers were identified through the use of both the ASD spectral library described previously and libraries built by USGS (Clark et al., 2007). The endmembers were then run through the MTMF spectral (partial) unmixing process to determine location and abundance in the HSI data. b. The MTMF Method MTMF involves three analysis steps. Step one involves an MNF transform, step two calculates the matched filter, and step three is where mixture tuning (MT) occurs. MT utilizes convex geometry to measure pixel mixture probabilities that are composites of both the target spectrum and background spectra. MTMF is an automated process that only requires the data and predetermined endmembers (Boardman and Kruse, 2011). In order for step one to occur, pre-processing of the data must be completed. Pre-processing has two main objectives performed as part of the execution of the MNF transform (Boardman and Kruse, 2011). During the pre-processing phase, noise whitening is done via decorrelation of noise present in the data and unit variance across all dimensions of the spectra. The noise whitening and data characterization step is a crucial part of the MTMF process because it is a main element of what allows estimation and target detection within the imagery (Boardman and Kruse, 2011). Three possible options exist in estimating an MNF transform, estimation using a shift difference, using a dark current image, or through use of known noise parameters. All three methods are statistical approaches that are useful under varying conditions. The end result is to determine the eigenvectors and project the noise whitened data onto them in order to decorrelate the data using equation (7) from Boardman and Kruse (2011). 43

after atmospherically correcting <strong>the</strong> data using <strong>the</strong> FLAASH method described<br />

previously. As Figure 21 illustrates, once <strong>the</strong> endmembers have been identified, <strong>the</strong> next<br />

step is <strong>to</strong> per<strong>for</strong>m MTMF <strong>to</strong> determine where endmembers occur within an image and<br />

what <strong>the</strong>ir abundances are within a given pixel. Once this has been conducted, maps of<br />

this in<strong>for</strong>mation can <strong>the</strong>n be generated (Boardman and Kruse, 2011).<br />

Figure 21. This figure shows <strong>the</strong> processing methods <strong>for</strong> spectral mixing analysis using<br />

<strong>the</strong> N-dimensional approach adapted from Kruse et al., (2003) and<br />

Boardman and Kruse (2011).<br />

a. The Hourglass Approach<br />

The hourglass method is suitable <strong>for</strong> <strong>the</strong> purposes of this study because it<br />

allows <strong>for</strong> accurate endmember extraction without any prior knowledge of location<br />

details (Boardman and Kruse, 2011). In general, <strong>the</strong> hourglass method converts radiance<br />

data <strong>to</strong> apparent reflectance (required <strong>for</strong> spectral analysis) using an atmospheric<br />

correction model (in this case FLAASH). The minimum noise fraction (MNF)<br />

(trans<strong>for</strong>mation resulting in new components being ordered by image quality (Boardman<br />

42

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