File:Ghost imaging.gif

Summary[edit]

Mathematica 11.0 code[edit]

ghost3 = Import["<path to the image>"];
(*Pad and reshape the image so that it is a 512x512 array of 0 and 1*)
mp = 32;
dim = 2^9/mp;
h = HadamardMatrix[(dim)^2];
ArrayPlot[UnitStep@h]
min = Min[h];
max = Max[h];
b = Table[
   N@ArrayFlatten[Partition[h[[j]], dim] /. {max -> ConstantArray[max, {32, 32}], min -> ConstantArray[min, {32, 32}]}], {j, 1, dim^2}];
c = Table[Total[Flatten[ghost3*b[[j]] ]], {j, 1, dim^2}];
partialsums = Accumulate[b*c];
p1 = Table[
   Grid[{{
      ArrayPlot[UnitStep[b[[j]] ]*ghost3, Frame -> False, PlotLabel -> "Illuminated object", LabelStyle -> {Black, Bold, FontSize -> 14}]
      ,
      Graphics3D[{Cylinder[{{0, 0, 0}, {0.5, 0.5, 0}}, 1], Cylinder[{{-0.3, -0.3, 0}, {0.5, 0.5, 0}}, 0.5], Text[Style[c[[j]], Bold, FontSize -> 14], {1.5, -2, 0}]}, Boxed -> False, Lighting -> "Neutral",  
       PlotLabel -> "Single-pixel\ndetector", LabelStyle -> {Black, Bold, FontSize -> 14}]
      ,
      ArrayPlot[partialsums[[j]], Frame -> False, PlotLabel -> "\!\(\*SubscriptBox[\(\[CapitalSigma]\), \(j\)]\) \ \!\(\*SubscriptBox[\(c\), \(j\)]\)\!\(\*SubscriptBox[\(P\), \ \(j\)]\)", LabelStyle -> {Black, Bold, FontSize -> 14}]
      }}]
   , {j, 1, dim^2, 1}];
ListAnimate[p1]

Licensing[edit]

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