plotting - Method -> {"AxesInFront" -> False} for Graphics3D

I'm aware of two ways to manage positioning of Axes for Graphics3D: AxesOrigin and AxesEdge. They seem to be quite different in terms of what is actually happening:

GraphicsRow[{

             Graphics3D[##, AxesOrigin -> {0, 0, 0}], 
             Graphics3D[##, AxesEdge -> {{-1, -1}, {-1, -1}, {-1, -1}}]
            } &[Sphere[{1, 1, 1}, 1], Axes -> True, ViewPoint -> {5, 7, 3}]]

enter image description here

I want the graphics elements to be up front.

For axes being a part of the box it is natural to use AxesEdge since it gives me that effect.

However sometimes I want the axes origin to be inside the box. AxesEdge is useless and AxesOrigin creates strange effect:

Graphics3D[{Opacity@1, Sphere[{1, 1, 1}, 1]}, Axes -> True, AxesOrigin -> {1, 1, 1}]

enter image description here

Axes created with AxesOrigin seem to be different object than with AxesEdge. It looks like some kind of 2D projection in front of 3D graphics while AxesEdge creates something which is part of 3D graphics.

As one may know there (..find undocumented options...) is an undocumented option Method -> { "AxesInFront" -> False } to deal with this issue in $2D$ graphics.

It doesn't seem to work in $3D$. So my question is if anyone is aware of, maybe undocumented, option responsible for that.

If this is a projection it could be behind the Graphics3D objects too, couldn't it be? (that's a little bit naive, in form, question since I do not know much about graphics rendering etc)

P.s. I do not expect answers like "You can use FindDivisions+Line" etc. I'm looking for simple and fast solution. Or an answer that there isn't any. (spelunking appreciated too:))

Answer

If I understand correctly, in the case of your sphere you'd like the sphere to obscure your axes and ticks, except perhaps for a little bit where they poke out at the edges.

This isn't currently possible without writing your own axes using Line and Inset.

The "AxesInFront" and other "...InFront" method options only apply to Graphics which doesn't have a natural $z$-order.

Comments

plotting - Plot 4D data with color as 4th dimension

I have a list of 4D data (x position, y position, amplitude, wavelength). I want to plot x, y, and amplitude on a 3D plot and have the color of the points correspond to the wavelength. I have seen many examples using functions to define color but my wavelength cannot be expressed by an analytic function. Is there a simple way to do this? Answer Here a another possible way to visualize 4D data: data = Flatten[Table[{x, y, x^2 + y^2, Sin[x - y]}, {x, -Pi, Pi,Pi/10}, {y,-Pi,Pi, Pi/10}], 1]; You can use the function Point along with VertexColors . Now the points are places using the first three elements and the color is determined by the fourth. In this case I used Hue, but you can use whatever you prefer. Graphics3D[ Point[data[[All, 1 ;; 3]], VertexColors -> Hue /@ data[[All, 4]]], Axes -> True, BoxRatios -> {1, 1, 1/GoldenRatio}]

plotting - Filling between two spheres in SphericalPlot3D

Manipulate[ SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, Mesh -> None, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], {n, 0, 1}] I cant' seem to be able to make a filling between two spheres. I've already tried the obvious Filling -> {1 -> {2}} but Mathematica doesn't seem to like that option. Is there any easy way around this or ... Answer There is no built-in filling in SphericalPlot3D . One option is to use ParametricPlot3D to draw the surfaces between the two shells: Manipulate[ Show[SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], ParametricPlot3D[{ r {Sin[t] Cos[1.5 Pi], Sin[t] Sin[1.5 Pi], Cos[t]}, r {Sin[t] Cos[0 Pi], Sin[t] Sin[0 Pi], Cos[t]}}, {r, 1, 2 - n}, {t, 0, Pi}, PlotStyle -> Yellow, Mesh -> {2, 15}]], {n, 0, 1}]

plotting - Mathematica: 3D plot based on combined 2D graphs

I have several sigmoidal fits to 3 different datasets, with mean fit predictions plus the 95% confidence limits (not symmetrical around the mean) and the actual data. I would now like to show these different 2D plots projected in 3D as in but then using proper perspective. In the link here they give some solutions to combine the plots using isometric perspective, but I would like to use proper 3 point perspective. Any thoughts? Also any way to show the mean points per time point for each series plus or minus the standard error on the mean would be cool too, either using points+vertical bars, or using spheres plus tubes. Below are some test data and the fit function I am using. Note that I am working on a logit(proportion) scale and that the final vertical scale is Log10(percentage). (* some test data *) data = Table[Null, {i, 4}]; data[[1]] = {{1, -5.8}, {2, -5.4}, {3, -0.8}, {4, -0.2}, {5, 4.6}, {1, -6.4}, {2, -5.6}, {3, -0.7}, {4, 0.04}, {5, 1.0}, {1, -6.8}, {2, -4.7}, {3, -1....

Blog

Search This Blog