The Effect of Median Filtering on Edge Estimation and Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Theoretical Aspects of Gray-Level Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
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We extend the theoretical results in [1] to two distributions and provide a quantitative comparison of 1D morphological filter edge localization with two classical types of kernel-based smoothing filters (the mean and the close relative to morphological filters, the median). Implications in the context of statistical texture segmentation are briefly discussed.