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Here is an alternate for making stereogram: Import a 3D object file into Mathematica, which is something like this:

Assuming that the extracted .obj file located on the root of your C: drive, Load and make a pose in Mathematica:

Clear[vpdata, vvdata, vpdata2, vvdata2, vpD, vvD];
rabbit = Import["c:\\rabbit.obj" ];
f[a_] := (Show[rabbit, Background -> Black,
   ViewPoint -> a[[1]],
   ViewVertical -> a[[2]],
   ImageSize -> {70, 70}] )

vpdata = {-3.0, 0.3 , 1.6};
vvdata = {-1.2 , 0.9, 0.3 };
vpdata2 = {-2.4 , 0.1, 2.4};
vvdata2 = {-1.1, 0.9, 0.4};
vpD = vpdata2 - vpdata;
vvD = vvdata2 - vvdata;
imgNo = 8;

vpFin = Table[{{
     vpdata[[1]] + vpD[[1]]*t/imgNo,
     vpdata[[2]] + vpD[[2]]*t/imgNo,
     vpdata[[3]] + vpD[[3]]*t/imgNo},
    {vvdata[[1]] + vvD[[1]]*t/imgNo,
     vvdata[[2]] + vvD[[2]]*t/imgNo,
     vvdata[[3]] + vvD[[3]]*t/imgNo} }, {t, 0, imgNo }];

imArr = ImageResize[#, {70, 70}] & /@ f /@ vpFin;
bgband = Graphics[ {}, Background -> Black, ImageSize -> {70*(imgNo + 1), 70}] ;
background = 
  Graphics[ {}, Background -> Black, ImageSize -> {70*(imgNo + 1), 5*70}] ;
For[i = 1, i <= 9, i++,
    bgband2 = ImageCompose[ bgband, imArr[[i]], {35 + (i - 1)*70, 35}];
   bgband = bgband2;
  ];
For[i = 1, i <= 9, i++,
    bgband3 = ImageCompose[ bgband, imArr[[5]], {35 + (i - 1)*70, 35}];
   bgband = bgband3;
  ];
bground = ImageCompose[background, bgband3, {315, 35}];
bground = ImageCompose[bground, bgband3, {315, 105}];
bground = ImageCompose[bground, bgband2, {315, 175}] ;
bground = ImageCompose[bground, bgband3, {315, 245}];
bground = ImageCompose[bground, bgband3, {315, 315}] 

Note the rabbits in third row.