Skip to main content

rendering - How to Render, raytrace, Export Graphics3D in Mathematica 11.0


The Mathematica Package below exports to either of two popular human readable raytracer file formats (not 3ds which is proprietary/binary), and can be used Live in Mathematica interactively/Live. (it requires rayshade or povray binary which are easily available)


https://sourceforge.net/projects/rayshade-math/


Mathematica has import/export to institutional formats for geo mapping and chemical. For most, those are the work-horses and more the focus - but i have no idea there how well mm does exporting. Importing wise, Mathematica can use maps we all know that!


Below is a simple Mathematica scene with two optional raytrace directives inserted to specify appearance Mathematica/GL does not support.


<
g = Graphics3D[
Table[With[{p = {i, j, k}/3}, {RGBColor[p], RGBColor[p],
Sphere[p, .1]}], {i, 2}, {j, 2}, {k, 2}]];


g=Graphics3D[{RayInput["rayinput repeat # # # reflect .2"],
Table[With[{p = {i, j, k}/3}, {Opacity[.75
], Specularity[RGBColor[p], 60], RGBColor[p],
Sphere[p, .1]}], {i, 2}, {j, 2}, {k, 2}], {Opacity[.44], ,
Specularity[RGBColor[.7, .7, .7], 60],
RayInput["rayinput # # # reflect .7 index 1.3"],
Sphere[{1/3 + 1/6, 1/3 + 1/6, 1/3 + 1/6}, .15]}}];

Rayshade[]


Much more complicated Graphics3D can be done, for 11.0 (too big to comment on) many will work, many not without Normal[] (due of lack of access to internal Mathematica code).


a busy cat rayshade-mathematica


I'm interested if anyone is exporting to a Cuda rendering suite or even 3DStudio ARt Renderer and how well Export[] did (why is: in the past export was poor, could only do single objects, and i have no recent copy of 3DStudio to check today's results and I do not have fingers crossed since Wolfram only shows pics being exported not their results after rendering)




Comments

Popular posts from this blog

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-...

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...

mathematical optimization - Minimizing using indices, error: Part::pkspec1: The expression cannot be used as a part specification

I want to use Minimize where the variables to minimize are indices pointing into an array. Here a MWE that hopefully shows what my problem is. vars = u@# & /@ Range[3]; cons = Flatten@ { Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; Minimize[{Total@((vec1[[#]] - vec2[[u[#]]])^2 & /@ Range[1, 3]), cons}, vars, Integers] The error I get: Part::pkspec1: The expression u[1] cannot be used as a part specification. >> Answer Ok, it seems that one can get around Mathematica trying to evaluate vec2[[u[1]]] too early by using the function Indexed[vec2,u[1]] . The working MWE would then look like the following: vars = u@# & /@ Range[3]; cons = Flatten@{ Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; NMinimize[ {Total@((vec1[[#]] - Indexed[vec2, u[#]])^2 & /@ R...