Exporting video of simulation

*To*: mathgroup at smc.vnet.net*Subject*: [mg116718] Exporting video of simulation*From*: Gabriel Landi <gtlandi at gmail.com>*Date*: Fri, 25 Feb 2011 06:33:59 -0500 (EST)

Hey guys, I've been using Mathematica to do the following: (1) Import data values from a simulation done in a different software. Simulation is basically solving a ODE. The data has the form (t, x1, x2, x3, ...) (2) I then use this data to make a ParametricPlot3D of (x1(t), x2(t), x3(t)). I Use function interpolation which works pretty well. (3) Now... what I really want is to make a video of this parametric 3D plot as a function of time. i. e., the 3D curve is drawn with time in the video. So far, the best I have come up with is to create a Manipulate Object and then export it (almost aways to quicktime .mov even though the format doesn't matter). I also plot alongside the 3D plot a 2D graph of one of the components. The problem is: making the video takes alot more time than the simulation. It takes over 1/2 hour. The reason, which I believe it is, is that each frame is constructed by completely re-ploting the graph. In other words, if one frame has the plot from t0 to t1 and the next has the plot from t0 to t2, then Mathematica makes 2 different graphs. I was wondering if there was a way to "AppendTo" the plot so he doesn't construct a new graph object. Also, overall, I am kindly asking for any tips you guys might have on this subject. Notebook is given below. It has been condensed into a single function which takes as only parameter the part of the file name that I want to produce the video (I have several files named sequentially). File is also pretty big, around 30 MB and so the line *data = Take[import, {1,-1,2000}] * is used to make it a little bit lighter. Thank you all in advance. Gabriel videoer[i_] := Module[{data, ani, t0, fx, fy, fz, t, t2, tf, dt, T, import, h, opt}, opt = {LabelStyle -> Directive["Times", 16], Frame -> True, FrameStyle -> Directive[16, "Times"]}; import = Most[Drop[Import["h0_" <> ToString[i] <> "-phi_0.dat", "Table"], 2]]; data = Take[import, {1, -1, 2000}]; Print["Import Done"]; t0 = data[[1, 1]]; t2 = data[[2, 1]]; tf = data[[-1, 1]]; dt = t2 - t0; fx = Interpolation[data[[All, {1, 2}]]]; fy = Interpolation[data[[All, {1, 3}]]]; fz = Interpolation[data[[All, {1, 4}]]]; h = Interpolation[data[[All, {1, 8}]]]; ani = Manipulate[Grid[{{ Plot[{h[t], fz[t]}, {t, t0, T}, PlotRange -> {{t0, tf}, If[i <= 1, {-1, 1}, {-i, i}]}, ImageSize -> 250, PerformanceGoal -> "Quality", opt, PlotStyle -> {Directive[Black, Thickness[0.007]], Red}], Show[ Graphics3D[{ Style[Sphere[{0, 0, 0}, 0.2], Red], {Black, Arrowheads[0.05], Arrow[Tube[{{0, 0, 0}, {fx[T], fy[T], fz[T]}}]]}, Line[{{0, 0, -1.5}, {0, 0, 1.5}}], Line[{{0, -1.5, 0}, {0, 1.5, 0}}], Line[{{-1.5, 0, 0}, {1.5, 0, 0}}] }, Boxed -> False, PlotRange -> {{-1.5, 1.5}, {-1.5, 1.5}, {-1.5, 1.5}}, ViewPoint -> {Pi, Pi, 1} ], ParametricPlot3D[{fx[t], fy[t], fz[t]}, {t, t0, T}, MaxRecursion -> Infinity, PerformanceGoal -> "Quality"] , ImageSize -> 400] }}] , {T, t2, tf}, Bookmarks -> {"start" :> (T = t2), "stop" :> (T = tf)}]; Print["Manipulate Object Construction Complete"]; Export["./Videos/vid_H_" <> ToString[i] <> ".mov", ani, "AnimationDuration" -> 20., "FrameRate" -> 15.] ]