Geometric matched filter for hyperspectral partial unmixing
Faculty of Sciences. Physics
S.l. :IEEE, 2014
IEEE-Whispers 2014 : Workshop on Hyperspectral Image and Signal Processing, Lausanne, Suisse, June 24-27, 2014
University of Antwerp
In this paper, a new geometric matched filter is presented by combining the standard matched filtering with concepts of convex geometry. The purpose of the method is partial un- mixing of a hyperspectral image, where an estimate is given for the relative contribution of each pixel to a specific target spectrum. In standard matched filtering, the filter is designed based on the background statistics of the entire image, which works fine when the target is contained in a limited number of pixels, but fails when the target is abundantly present through- out the whole image. The presented method calculates the fil- ter based on the statistics of pixels that do not contain the tar- get spectrum. These background pixels are identified based on the simplex formed by the target and other relevant end- members of the dataset. In the experiments, the presented method is shown to outperform standard matched filtering for partial unmixing.