27 April 2009 Spatial principle components analysis: application to flightline C1
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Abstract
An application of including spatial information into a principle components analysis (PCA) image classification through an eigenvector spatial filter is given. The spatial filter is created as a linear combination of the chosen eigenvectors based on the spatial information in the image. These eigenvectors are extracted from the defined connectivity of the image pixels and are different from those eigenvectors used in conventional PCA. The surface connectivity of the image is based on the binary matrix of image pixel neighbors (i.e. if i and j are neighbor pixels in an image and i does not equal j than matrix entry cij = 1 other cij = 0). The proposed methodology is applied to an image example (i.e. Flightline C1) with 12 spectral bands from an airborne sensor as a selected case study dataset. An explanation of how a spatial filter should be incorporated into PCA classification is given and two possibilities for gaining efficiency in the algorithm, through distributed computing and sampling is described. The advantages and drawbacks of both approaches, in terms of computing time, and amount of variance accounted for in the image is discussed.
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Melissa J. Rura, "Spatial principle components analysis: application to flightline C1", Proc. SPIE 7334, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XV, 73340D (27 April 2009); doi: 10.1117/12.818688; https://doi.org/10.1117/12.818688
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