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

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...
Post a Comment
Read more

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...
Post a Comment
Read more

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...
Post a Comment
Read more