A classifier is developed which uses information from all pixels in a neighbourhood to classify the pixel at the center of the neighbourhood. It is not a smoother in that it tries to recognize boundaries. and it makes explieite use of the relative positions of pixels in the neighbourhood. It is based on a geometric probability model for the distribution of the classes in the plane. The neighbourhood‐based classifier is shown to outperform linear discriminant analysis on some LANDSAT data.
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Art B. Owen (1984) studied this question.