Clustering techniques for segmentation of radar images is problematic; the clustering methods segment the image, but often replace a complex image with an even more complex set of complicated segments. The statistical relevance of any particular segment is not always clear. Analysis and interpretation in the presence of white noise is straightforward, but analysis of clusters in the presence of spatially correlated noise is much more complex. Our study in this area follows our earlier work on Coherent Structure Detector (CSD). The method is based on a definition of an incoherent signal and controls the test size without assumptions about the process. We apply this concept of coherency to multidimensional images for the detection and characterization of coherent image segments. Our recent analysis establishes the test size and provides an algorithm for calculating p-values.
Two viewpoints of incoherency are considered: spatially correlated noise (white noise passed through a linear spatial filter), and Poisson clutter. Both are appropriate for analysis of radar images. Spatially correlated noise will be present in the fine structure of high-resolution images due to clouds and other concentrated scatters (insects, birds and dust), inversion layers, and air density variations. Poisson clutter would follow from clutter (ground, aircraft, etc.). The model of an incoherent image is used to build rigorous statistical tests for the classification of image segments, in terms of p-values, as coherent image structures or the random results of incoherent noise. The techniques are non-parametric and no explicit knowledge is needed of the spatial noise spectrum or Poisson amplitude distribution. Proofs of test size are already complete, but power is a critical issue. Performance will be determined by noise characteristics, the image segment properties, and clustering algorithm.
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