ListDensityPlot, ColorFunction, and associated confusions

*To*: mathgroup at smc.vnet.net*Subject*: [mg49737] ListDensityPlot, ColorFunction, and associated confusions*From*: AES/newspost <siegman at stanford.edu>*Date*: Thu, 29 Jul 2004 07:45:50 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

I'm trying to show some rectangular arrays in two ways by creating side-by-side ListPlot3D and ListDensityPlot displays in a GraphicsArray. Each of the arrays contains a primary "mountain peak" that arises out of a flat plane at a base elevation close to zero, plus several secondary hillocks only 1/3 to 1/2 as high as the main peak -- and that's how they show up in the ListPlot3D, In the ListDensityPlot, however, using the standard ColorFunction->Hue, the tops of some of the secondary hillocks show up in the same bright red as the top of the main peak, even though they appear in the ListPlot3D to be less than 1/2 as high as the main peak. It's as if ColorFunctionScaling is being applied locally to each individual peak somehow. What might be going on here? (And secondarily, because of the way Hue functions, the flat background plain ends up in close to the same red as the top of the peaks. Any easy way to fix that?)

**Follow-Ups**:**Re: ListDensityPlot, ColorFunction, and associated confusions***From:*Selwyn Hollis <sh2.7183@misspelled.erthlink.net>