Here is an alternative for making a stereogram:

Download and import a [3D object file][1] into Mathematica, which is something look like this:

![enter image description here][2]

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

making a list of total 9 slightly different posing rabbits:

    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;

combing the tiles into bands:

    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;
      ];

produce the stereogram:

    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}] 

![enter image description here][3]

Note the rabbits in third row. and the following picture was produced by the same method:

![enter image description here][4]


  [1]: http://tf3dm.com/3d-model/rabbit-97792.html
  [2]: https://i.sstatic.net/7fUJn.gif
  [3]: https://i.sstatic.net/dI29d.jpg
  [4]: https://i.sstatic.net/WrcFR.jpg