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plotting - List Contour Plot: Delete some contour lines, but keep the colors


I'm trying to make a ContourPlot of a set of data of the kind: (x,y,f(x,y))


What I'd like to do is to remove the majority of the iso-line and just leave two of them, but keeping the changing of the color.


In other words I'd like to obtain something like a ListDensityPlot of my data set, but with two iso-curves marking the points (x,y) having either value 0 or −0.0005.


Any idea on how to do this? like for example overlapping two different graphs on each other or extracting the iso-curve interpolant from the contour plot and plug it into the density plot? these are just some ideas...



Answer




data = Table[Sin[i + j^2], {i, 0, 3, 0.05}, {j, 0, 3, 0.05}];

ListContourPlot[data, ColorFunction -> "Rainbow", 
 Contours -> {{0, {Thick, Black}}, {-.5, {Thick, Dashed, Black}}, 
               Sequence @@ ({#, None} & /@ Range[Min@data, Max@data, .0025])}]

enter image description here


You can also use the desired contours as Epilog with ListDensityPlot:


lcp = ListContourPlot[data, ContourShading -> None,
   Contours -> {{0, {Thick, Black}}, {-.5, {Thick, Dashed, Black}}}];

ListDensityPlot[data, ColorFunction -> "Rainbow", Epilog -> lcp[[1]]]

enter image description here


Or, to use default contour styles, use Contours -> {0, -.5} in lcp to get


ListDensityPlot[data, ColorFunction -> "Rainbow", Epilog -> lcp[[1]]]

enter image description here


Update: You can also use Mesh and MeshFunctions with ListDensityPlot:


ListDensityPlot[data, ColorFunction -> "Rainbow", MeshFunctions -> {#3 &},  Mesh -> {{0., -.5}}]


enter image description here


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