One could argue that the long-standing controversy over the relative merits of the median and mean is something of a touchstone of early statistics. The touchstone of medieval alchemy was basonite, a variety of quartz used to test the purity of gold alloys ; striking an alloy against the surface of the stone revealed the quality of the alloy by the color of the mark left on the stone. Likewise,...

Currently, the threshold T must be entered manually, based on given or estimated values for the SNR of the degraded image. Future work will look at ways to automate this process. Also, we found that at very low SNR, the AMP median filter introduces a few speckles into the restored image. We suspect that this may be due to incorrect adaption in regions of exceptionally high noise levels. Further...

Aprofileπ = (x1, . . . , xk), of length k, in a finite connected graphG is a sequence of vertices ofG, with repetitions allowed. Amedian x ofπ is a vertex forwhich the sumof the distances from x to the vertices in the profile is minimum. The median function finds the set of all medians of a profile. Medians are important in location theory and consensus theory. A median graph is a graph for whi...

A rich structure theory has been developed in the last three decades for graphs embed dable into hypercubes in particular for isometric subgraphs of hypercubes also known as partial cubes and for median graphs Median graphs which constitute a proper subclass of partial cubes have attracted considerable attention In order to better understand them semi median graphs have been introduced but have...