Pectoralis Major Median Myotomy: The Median Cut

Color quantization using modified median cut

We describe some observations on the practical implementation of the median cut color quantization algorithm, suitably modified for accurate color rendering. The RGB color space is successively divided in such a way that colors with visual significance, even if relatively small in population, are given representatives in the colormap. Appropriately modified, median cut quantization is nearly as...

Optimal Image Quantization, Perception and the Median Cut Algorithm

We study the perceptual problem related to image quantization from an optimization point of view, using different metrics on the color space. A consequence of the results presented is that quantization using histogram equalization provides optimal perceptual results. This fact is well known and widely used but, to our knowledge, a proof has never appeared on the literature of image processing.

On Median Graphs and Median Grid Graphs on Median Graphs and Median Grid Graphs

Let e be an edge of a median graph G which is contained in exactly one 4-cycle. Then it is proved that G n e is a median graph. The converse holds as well provided that e is not contained is a subgraph isomorphic to the 3-cube minus a vertex. These results are used to give several characterizations of median grid graphs. (Grid graphs are subgraphs of complete grids, i.e. of the Cartesian produc...

An Algorithm for Data Hiding Using Median Cut Segmentation

The Median Is the Message : toward the Fréchet Median

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,...