Abstract
Publisher Summary This chapter describes the analysis and elucidation of various distorting processes that occur when applying common image processing filters. The median filter is widely used—particularly because it does not blur images in the way that mean or Gaussian filters are known to—and a whole variety of other filters are derived from or closely related to it, so that they tend to have similar properties. Thus, the distortions exhibited by median filters apply in one form or another to many other types of filter. The chapter describes some of the standard image processing filters, and presents their basic properties. The chapter also discusses about the origins of distortions produced by median filters, and makes quantitative estimates of them on the assumption of a continuous analogue image space. The continuum model is applied to the mean filter and mode filter, and further, the chapter generalizes the continuum model to cover all types of rank-order filter, with the median filter and certain morphological filters as special cases. The chapter also presents some concluding remarks about a whole range of problems relating to continuous versus discrete representations.
Published Version
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