access icon free Kernel spectral angle mapper

This communication introduces a very simple generalisation of the familiar spectral angle mapper (SAM) distance. SAM is perhaps the most widely used distance in chemometrics, hyperspectral imaging, and remote sensing applications. It is shown that a nonlinear version of SAM can be readily obtained by measuring the angle between pairs of vectors in a reproducing kernel Hilbert spaces. The kernel SAM generalises the angle measure to higher-order statistics, it is a valid reproducing kernel, it is universal, and it has consistent geometrical properties that permit deriving a metric easily. We illustrate its performance in a target detection problem using very high resolution imagery. Excellent results and insensitivity to parameter tuning over competing methods make it a valuable choice for many applications.

Inspec keywords: image resolution; hyperspectral imaging; object detection; higher order statistics; geophysical image processing; remote sensing

Other keywords: geometrical properties; high-resolution imagery; target detection problem; chemometrics; hyperspectral imaging; parameter tuning; kernel SAM; SAM nonlinear version; kernel spectral angle mapper; remote sensing application; angle measurement; spectral angle mapper SAM distance; kernel Hilbert spaces; SAM distance generalisation; higher-order statistics

Subjects: Geophysics computing; Other topics in statistics; Computer vision and image processing techniques; Other topics in statistics; Probability theory, stochastic processes, and statistics; Optical, image and video signal processing; Geophysical techniques and equipment; Instrumentation and techniques for geophysical, hydrospheric and lower atmosphere research; Data and information; acquisition, processing, storage and dissemination in geophysics

http://iet.metastore.ingenta.com/content/journals/10.1049/el.2016.0661
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