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This paper describes an approach to low level image noise reduction which uses non-linear comparisons to define which parts of the image are closely related to each individual pixel, i.e. what the local smoothing neighbourhood is. The resulting method achieves good smoothing without degrading edges, lines or corners in the image. It is also investigated for its multi-scale properties, and shown to give very little shift in edge position over multiple smoothing scales.
Stephen M. Smith (Mon,) studied this question.