Choosing Filter Parameters for Non-Linear Image Filtering

The use of non-linear image filters requires knowledge of the image statistics so that filter parameters can be appropriately chosen. We have developed efficient techniques for measuring the distribution of relevant image statistics for the case of filters based upon mathematical morphology, the Minkowski filters. These statistics can then be used to choose appropriate values for filter parameters. Further, we have evaluated the performance of the measuring techniques in the presence of image noise to determine their robustness.