Skip to main content

table - issue with Animate


I want to make a animation based on the dataset like


data = Flatten[Table[{x, y, x^2 - y^2}, {x, -3, 3}, {y, -3, 3}], 1];

I show this data using a ListPlot3D.


p2[θ_] := RotationTransform[θ, {0, 0, 1}]

When I use Table to generate the different images, it works fine.


test11 = Table[
  ListPlot3D[p2[a][data] /. {x_, y_, z_} -> {x, y, z*a}, Mesh -> 5, 

   MeshStyle -> White, Axes -> {False, False, True}, 
   PlotRange -> {{-4, 4}, {-4, 4}, {-10, 10}}], {a, -1, 1, 0.1}]

Export["anigraf2.GIF", test11, "DisplayDurations" -> 1]

When I use 'Animate' to create the same output, Mathematica stops responding en I have to restart the software.


Animate[ListPlot3D[p2[a][data] /. {x_, y_, z_} -> {x, y, z*a}, 
  Mesh -> 5, MeshStyle -> White, Axes -> False, 
  PlotRange -> {{-4, 4}, {-4, 4}, {-10, 10}}], {a, -1, 1, 0.1}, 
 AnimationDirection -> ForwardBackward, AnimationRunning -> True, 

 SaveDefinitions -> True]

Is there somebody who has suggestion for this issue?



Answer



For anything but the simplest of graphics objects, always avoid Animate and use ListAnimate instead.


The difference is that ListAnimate works on a pre-defined list of images to create an animation. All the rendering is done beforehand. With Animate, it attempts to do the rendering on the fly, when you are moving the slider.


So this will make the animation you are looking for,


data = Flatten[Table[{x, y, x^2 - y^2}, {x, -3, 3}, {y, -3, 3}], 1];
p2[θ_] := RotationTransform[θ, {0, 0, 1}];
imglist = Table[

   ListPlot3D[p2[a][data] /. {x_, y_, z_} -> {x, y, z*a}, Mesh -> 5, 
    MeshStyle -> White, Axes -> {False, False, True}, 
    PlotRange -> {{-4, 4}, {-4, 4}, {-10, 10}}]
   , {a, -1, 1, 0.1}];
ListAnimate[
 imglist,
 AnimationDirection -> ForwardBackward, AnimationRunning -> True, 
 SaveDefinitions -> True]

Another option is to use Manipulate instead of Animate. Manipulate will render the 3D graphics using fewer points when you are moving the slider, giving you the changes quickly when it can at the expense of quality, and then generating the higher quality images when the slider stops moving. (Correct me if I am wrong here) I do not think that Animate does this.



So this runs relatively quickly on my machine,


Manipulate[
 ListPlot3D[p2[a][data] /. {x_, y_, z_} -> {x, y, z*a}, Mesh -> 5, 
  MeshStyle -> White, Axes -> {False, False, True}, 
  PlotRange -> {{-4, 4}, {-4, 4}, {-10, 10}}]
 , {a, -1, 1, 0.05}]

enter image description here


Comments

Post a Comment

Popular posts from this blog

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}]
Post a Comment
Read more

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}]
Post a Comment
Read more

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.
Post a Comment
Read more