visualization - Is there an easy way to use Matteo Niccoli's perceptual color maps for 2D plots in Mathematica?

I have been using the ubiquitous Jet color palette for 2D plots for some time now, and don't really care for it. Then I came across the series of blog posts, The rainbow is dead...long live the rainbow, and really like the color palettes he uses and how they make it more intuitive to see changes in the data on a 2D plot. Is there some way to incorporate these in Mathematica? I'd like to be able to use them without calling in a special package or defining them every time I invoke the kernel.

Answer

I've taken the liberty of uploading the RGB values for MyCarta's color schemes to pastebin. Mr. Niccoli provides these in CSV downloadable from his website, but I found that I had to change their format if I want Mathematica to read them during initialization.

(* Read in the numerical data *)
Get["https://pastebin.com/raw/gN4wGqxe"]
ParulaCM = With[{colorlist = RGBColor @@@ parulaColors},

   Blend[ colorlist, #]&
   ];
Cube1CM = With[{colorlist = RGBColor @@@ cube1Colors},
   Blend[ colorlist, #]&
   ];
CubeYFCM = With[{colorlist = RGBColor @@@ cubeYFColors},
   Blend[ colorlist, #]&
   ];
LinearLCM = With[{colorlist = RGBColor @@@ cube1Colors},
   Blend[ colorlist, #]&

   ];
JetCM = With[{colorlist = RGBColor @@@ jetColors},
   Blend[ colorlist, #]&
   ];

If you want to have these functions available without defining them every time you open Mathematica, then put the above text in your init.m file.

You can see the colorschemes via

BarLegend[{#,{0,1}}]&/@{JetCM,ParulaCM,Cube1CM,CubeYFCM,LinearLCM}

enter image description here

and in a simple 2D plot via

DensityPlot[Cos[x] Sin[y], {x, -10, 10}, {y, -10, 10}, 
 PlotRange -> All, ColorFunction -> #, 
 PlotPoints -> 75] & /@ {JetCM, ParulaCM, Cube1CM, CubeYFCM,LinearLCM}

enter image description here

Definitely read the MyCarta blog posts for more information about these color palettes, and why you might want to use them. Also see Matteo's answer below for more info

Comments

plotting - How to draw lines between specified dots on ListPlot?

I would like to create a plot where I have unconnected dots and some connected. So far, I have figured out how to draw the dots. My code is the following: ListPlot[{{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4,13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full] I have thought using ListLinePlot command, but I don't know how to specify to the command to draw only selected lines between the dots. Do have any suggestions/hints on how to do that? Thank you. Answer One possibility would be to use Epilog with Line : ListPlot[ {{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4, 13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full, Epilog -> { Line[ ...

dynamic - How can I make a clickable ArrayPlot that returns input?

I would like to create a dynamic ArrayPlot so that the rectangles, when clicked, provide the input. Can I use ArrayPlot for this? Or is there something else I should have to use? Answer ArrayPlot is much more than just a simple array like Grid : it represents a ranged 2D dataset, and its visualization can be finetuned by options like DataReversed and DataRange . These features make it quite complicated to reproduce the same layout and order with Grid . Here I offer AnnotatedArrayPlot which comes in handy when your dataset is more than just a flat 2D array. The dynamic interface allows highlighting individual cells and possibly interacting with them. AnnotatedArrayPlot works the same way as ArrayPlot and accepts the same options plus Enabled , HighlightCoordinates , HighlightStyle and HighlightElementFunction . data = {{Missing["HasSomeMoreData"], GrayLevel[ 1], {RGBColor[0, 1, 1], RGBColor[0, 0, 1], GrayLevel[1]}, RGBColor[0, 1, 0]}, {GrayLevel[0], GrayLevel...

Is there a way to do conditional matrix loop using 'continue'

I have the following: n = 3; m = 5; ww = RandomReal[{0, 0.1}, {n, n}]; uu = RandomReal[{0, 1}, {m, n}]; pp = RandomReal[{0, 1}, {n, n}]; ss = RandomInteger[{0, 5}, {m, n}]; Grid[{{"ww", "uu", "pp", "ss"}, {ww // TableForm, uu // TableForm, pp // TableForm, ss // TableForm}}, Spacings -> {5, 2}, Dividers -> All] where I would like to look at every element of matrix ss and produce a matrix tt , with zeroes at the locations in ss which have zeroes, and in all other positions do the following: tt = (-1/Subscript[ww, m]) Log[(1 - uu)/(Subscript[pp, m - 1])], where Subscript[ww, m] is the value at index of ww matrix and where Subscript[pp, m - 1] is the value at index-1 of pp matrix. So for example if the first value ever read from matrix ss happens to be 2, then value taken from matrix ww would be from the row 2, but from pp would be from row 1. Also how to tell difference between a 0 as a valid value from within the matrix elemen...

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