Overlaying two SmoothDensityHistograms












4












$begingroup$


I want to overlay two objects of SmoothDensityHistogram using Show, in order to highlight a region of the shared plot space. However, the top object completely obscures the bottom one. I tried to set an opacity for the objects, but SmoothDenstiyHistogram does not accept PlotStyle as an argument to pass either Opacity[...] or Directive[Opacity[...]]. Is there a way to make this work?










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$endgroup$








  • 2




    $begingroup$
    Could you post example code of your histograms?
    $endgroup$
    – Carl Lange
    Jan 16 at 20:15










  • $begingroup$
    @CarlLange My histograms are generated from large data files, but any two sets of random data passed into a SmoothDensityHistogram and overlaid will show the issue.
    $endgroup$
    – avikarto
    Jan 16 at 20:17


















4












$begingroup$


I want to overlay two objects of SmoothDensityHistogram using Show, in order to highlight a region of the shared plot space. However, the top object completely obscures the bottom one. I tried to set an opacity for the objects, but SmoothDenstiyHistogram does not accept PlotStyle as an argument to pass either Opacity[...] or Directive[Opacity[...]]. Is there a way to make this work?










share|improve this question









$endgroup$








  • 2




    $begingroup$
    Could you post example code of your histograms?
    $endgroup$
    – Carl Lange
    Jan 16 at 20:15










  • $begingroup$
    @CarlLange My histograms are generated from large data files, but any two sets of random data passed into a SmoothDensityHistogram and overlaid will show the issue.
    $endgroup$
    – avikarto
    Jan 16 at 20:17
















4












4








4


1



$begingroup$


I want to overlay two objects of SmoothDensityHistogram using Show, in order to highlight a region of the shared plot space. However, the top object completely obscures the bottom one. I tried to set an opacity for the objects, but SmoothDenstiyHistogram does not accept PlotStyle as an argument to pass either Opacity[...] or Directive[Opacity[...]]. Is there a way to make this work?










share|improve this question









$endgroup$




I want to overlay two objects of SmoothDensityHistogram using Show, in order to highlight a region of the shared plot space. However, the top object completely obscures the bottom one. I tried to set an opacity for the objects, but SmoothDenstiyHistogram does not accept PlotStyle as an argument to pass either Opacity[...] or Directive[Opacity[...]]. Is there a way to make this work?







plotting






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Jan 16 at 20:14









avikartoavikarto

1418




1418








  • 2




    $begingroup$
    Could you post example code of your histograms?
    $endgroup$
    – Carl Lange
    Jan 16 at 20:15










  • $begingroup$
    @CarlLange My histograms are generated from large data files, but any two sets of random data passed into a SmoothDensityHistogram and overlaid will show the issue.
    $endgroup$
    – avikarto
    Jan 16 at 20:17
















  • 2




    $begingroup$
    Could you post example code of your histograms?
    $endgroup$
    – Carl Lange
    Jan 16 at 20:15










  • $begingroup$
    @CarlLange My histograms are generated from large data files, but any two sets of random data passed into a SmoothDensityHistogram and overlaid will show the issue.
    $endgroup$
    – avikarto
    Jan 16 at 20:17










2




2




$begingroup$
Could you post example code of your histograms?
$endgroup$
– Carl Lange
Jan 16 at 20:15




$begingroup$
Could you post example code of your histograms?
$endgroup$
– Carl Lange
Jan 16 at 20:15












$begingroup$
@CarlLange My histograms are generated from large data files, but any two sets of random data passed into a SmoothDensityHistogram and overlaid will show the issue.
$endgroup$
– avikarto
Jan 16 at 20:17






$begingroup$
@CarlLange My histograms are generated from large data files, but any two sets of random data passed into a SmoothDensityHistogram and overlaid will show the issue.
$endgroup$
– avikarto
Jan 16 at 20:17












1 Answer
1






active

oldest

votes


















4












$begingroup$

You can do this by setting the ColorFunction to use Opacity.



Let's define our ColorFunction, which basically just returns a color for a given plot value:



cf[z_] := Opacity[z, RGBColor[z, 1 - z, 1]]


(You can also wrap any of the ColorData functions with that Opacity and it should work)



Now we can use that to show two plots together:



s1 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.2], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]
s2 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.5], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]

Overlay[{s1, s2}]


enter image description here






share|improve this answer









$endgroup$













  • $begingroup$
    Perfect, thanks!
    $endgroup$
    – avikarto
    Jan 16 at 20:31










  • $begingroup$
    Do you not want to have something like ColorFunctionScaling -> False? Otherwise, the highest values have the same color even if there's a large difference in the "peakedness" of the two densities?
    $endgroup$
    – JimB
    Jan 17 at 4:35










  • $begingroup$
    @JimB That's a good point - probably a good idea to add your own answer working around that issue.
    $endgroup$
    – Carl Lange
    Jan 17 at 9:03













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1 Answer
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active

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1 Answer
1






active

oldest

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active

oldest

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active

oldest

votes









4












$begingroup$

You can do this by setting the ColorFunction to use Opacity.



Let's define our ColorFunction, which basically just returns a color for a given plot value:



cf[z_] := Opacity[z, RGBColor[z, 1 - z, 1]]


(You can also wrap any of the ColorData functions with that Opacity and it should work)



Now we can use that to show two plots together:



s1 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.2], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]
s2 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.5], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]

Overlay[{s1, s2}]


enter image description here






share|improve this answer









$endgroup$













  • $begingroup$
    Perfect, thanks!
    $endgroup$
    – avikarto
    Jan 16 at 20:31










  • $begingroup$
    Do you not want to have something like ColorFunctionScaling -> False? Otherwise, the highest values have the same color even if there's a large difference in the "peakedness" of the two densities?
    $endgroup$
    – JimB
    Jan 17 at 4:35










  • $begingroup$
    @JimB That's a good point - probably a good idea to add your own answer working around that issue.
    $endgroup$
    – Carl Lange
    Jan 17 at 9:03


















4












$begingroup$

You can do this by setting the ColorFunction to use Opacity.



Let's define our ColorFunction, which basically just returns a color for a given plot value:



cf[z_] := Opacity[z, RGBColor[z, 1 - z, 1]]


(You can also wrap any of the ColorData functions with that Opacity and it should work)



Now we can use that to show two plots together:



s1 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.2], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]
s2 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.5], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]

Overlay[{s1, s2}]


enter image description here






share|improve this answer









$endgroup$













  • $begingroup$
    Perfect, thanks!
    $endgroup$
    – avikarto
    Jan 16 at 20:31










  • $begingroup$
    Do you not want to have something like ColorFunctionScaling -> False? Otherwise, the highest values have the same color even if there's a large difference in the "peakedness" of the two densities?
    $endgroup$
    – JimB
    Jan 17 at 4:35










  • $begingroup$
    @JimB That's a good point - probably a good idea to add your own answer working around that issue.
    $endgroup$
    – Carl Lange
    Jan 17 at 9:03
















4












4








4





$begingroup$

You can do this by setting the ColorFunction to use Opacity.



Let's define our ColorFunction, which basically just returns a color for a given plot value:



cf[z_] := Opacity[z, RGBColor[z, 1 - z, 1]]


(You can also wrap any of the ColorData functions with that Opacity and it should work)



Now we can use that to show two plots together:



s1 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.2], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]
s2 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.5], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]

Overlay[{s1, s2}]


enter image description here






share|improve this answer









$endgroup$



You can do this by setting the ColorFunction to use Opacity.



Let's define our ColorFunction, which basically just returns a color for a given plot value:



cf[z_] := Opacity[z, RGBColor[z, 1 - z, 1]]


(You can also wrap any of the ColorData functions with that Opacity and it should work)



Now we can use that to show two plots together:



s1 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.2], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]
s2 = SmoothDensityHistogram[
RandomVariate[BinormalDistribution[.5], 10], PlotRange -> {-3, 3},
Frame -> None, ColorFunction -> cf]

Overlay[{s1, s2}]


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered Jan 16 at 20:21









Carl LangeCarl Lange

3,8151733




3,8151733












  • $begingroup$
    Perfect, thanks!
    $endgroup$
    – avikarto
    Jan 16 at 20:31










  • $begingroup$
    Do you not want to have something like ColorFunctionScaling -> False? Otherwise, the highest values have the same color even if there's a large difference in the "peakedness" of the two densities?
    $endgroup$
    – JimB
    Jan 17 at 4:35










  • $begingroup$
    @JimB That's a good point - probably a good idea to add your own answer working around that issue.
    $endgroup$
    – Carl Lange
    Jan 17 at 9:03




















  • $begingroup$
    Perfect, thanks!
    $endgroup$
    – avikarto
    Jan 16 at 20:31










  • $begingroup$
    Do you not want to have something like ColorFunctionScaling -> False? Otherwise, the highest values have the same color even if there's a large difference in the "peakedness" of the two densities?
    $endgroup$
    – JimB
    Jan 17 at 4:35










  • $begingroup$
    @JimB That's a good point - probably a good idea to add your own answer working around that issue.
    $endgroup$
    – Carl Lange
    Jan 17 at 9:03


















$begingroup$
Perfect, thanks!
$endgroup$
– avikarto
Jan 16 at 20:31




$begingroup$
Perfect, thanks!
$endgroup$
– avikarto
Jan 16 at 20:31












$begingroup$
Do you not want to have something like ColorFunctionScaling -> False? Otherwise, the highest values have the same color even if there's a large difference in the "peakedness" of the two densities?
$endgroup$
– JimB
Jan 17 at 4:35




$begingroup$
Do you not want to have something like ColorFunctionScaling -> False? Otherwise, the highest values have the same color even if there's a large difference in the "peakedness" of the two densities?
$endgroup$
– JimB
Jan 17 at 4:35












$begingroup$
@JimB That's a good point - probably a good idea to add your own answer working around that issue.
$endgroup$
– Carl Lange
Jan 17 at 9:03






$begingroup$
@JimB That's a good point - probably a good idea to add your own answer working around that issue.
$endgroup$
– Carl Lange
Jan 17 at 9:03




















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