Wolfram Language

Procesamiento de imágenes y señales

Visualice y sintetice estereogramas

Viendo un estereograma cruzando la vista, uno puede ver un objeto en 3D que emerge del fondo plano. Este efecto se logra repitiendo un patrón con cambios locales sutiles que codifican el paralaje y por tanto la profundidad de un objeto en 3D. ImageDisplacements puede detectar estos cambios sutiles y permitirle reconstruir el mapa de profundidad del objeto subyacente.

Un estereograma que muestra un Spikey.

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Click for copyable input
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Out[1]=

Para verlo, vea de cerca, cruce los ojos y lentamente reduzca la distancia a la pantalla. Luego deje de cruzar los ojos y con paciencia podrá ver la imagen extrudida del icosaedro estrellado.

Para decodificar un estereograma, primero determine el ancho del período del patrón.

In[2]:=
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period = Length@ Last@FindTransientRepeat[First@ImageData@Binarize@stereogram, 3]
Out[2]=

Utilice ImageDisplacements para determinar los cambios sutiles en el patrón.

In[3]:=
Click for copyable input
shifts = Map[Norm, First@ImageDisplacements[ {ImageTake[stereogram, All, {period + 1, -1}], ImageTake[stereogram, All, {1, -period - 1}]} ], {2}];

Convierta los cambios de patrón en el correspondiente mapa de profundidad, suponiendo una configuración típica de observador de pantalla.

In[4]:=
Click for copyable input
shiftToDepth[shift_] := 1600 shift/(160 + shift);
In[5]:=
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depthEstimate = ImagePad[Image[ shiftToDepth@shifts], {{period + 1 - Max[shifts], Max[shifts]}, {0, 0}}, Black];
In[6]:=
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depthEstimate // ImageAdjust
Out[6]=

Utilice el siguiente código para crear su propio estereograma con cualquier patrón y mapa de profundidad.

muestre la entrada completa de Wolfram Language
In[7]:=
Click for copyable input
StereogramShift[maxshift_][pattern_Image, depth_Image] := Block[ {array, trafo, shifted, widht, height}, {widht, height} = {1/2, 1} ImageDimensions[pattern]; array = maxshift Transpose@ImageData[depth, DataReversed -> True]; trafo = position \[Function] (position + {Extract[array, Ceiling[position]], 0}); shifted = ImageTransformation[pattern, trafo, DataRange -> All, PlotRange -> {{0, widht}, {0, height}}, Resampling -> "Cubic", Padding -> "Periodic"]; ImageAssemble[{{ImageTake[pattern, All, {-widht, -1}], shifted}}] ]; CreateStereogram[pattern_Image, depth_Image, maxshift_: 24] := Module[ {W, H, w, h, depthMap, patternStrip}, {w, h} = ImageDimensions[pattern]; {W, H} = ImageDimensions[depth]; depthMap = ImageCrop[ ImageClip@ColorConvert[depth, "Grayscale"], {Ceiling[W, w], Full}]; patternStrip = ImageCrop[ ImageAssemble@ Transpose@{ConstantArray[pattern, {Ceiling[H/h]}]}, {w, H}]; ImageCrop[ ImageAssemble@List@ Map[ strip \[Function] ImageTake[strip, All, {w/2 + 1, -1}], FoldList[ StereogramShift[maxshift], patternStrip, Flatten@ ImagePartition[ depthMap, {1/2, 1} ImageDimensions[patternStrip]] ] ], {W, H} ] ]
In[8]:=
Click for copyable input
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In[9]:=
Click for copyable input
stereogram = CreateStereogram[pattern, depth]
Out[9]=

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