Wolfram Language

Bild- und Signalverarbeitung

Stereogramme visualisieren und synthetisieren

Wenn Sie sich mit gekreuztem Blick auf ein Stereogramm konzentrieren, sehen Sie ein hervortretendes 3D-Objekt vor einem flachen Hintergrund. Dieser Effekt wird durch ein sich wiederholendes Muster mit subtilen Verschiebungen erzielt, die die Parallaxe und somit die Tiefe des 3D-Objekts kodieren. ImageDisplacements entdeckt diese subtilen Verscheibungen und erlaubt es Ihnen, die Tiefenkarte des zugrundeliegenden Objekts zu rekonstruieren.

Ein Stereogramm, das einen Spikey zeigt.

In[1]:=
Click for copyable input
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Out[1]=

Um den Spikey zu sehen, konzentrieren Sie sich auf das Bild, kreuzen Sie Ihren Blick und gehen Sie mit den Augen immer näher an den Bildschirm heran. Lockern Sie dann Ihre Augen, und mit etwas Geduld sollten Sie das hervortretende Bild eines sternähnlichen Ikosaeder sehen.

Um ein Stereoskop zu dekodieren, bestimmen Sie zuerst die Breite der Mustereinheit.

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

Verwenden Sie ImageDisplacements, um die subtilen Verschiebungen im Muster zu identifizieren.

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

Wandeln Sie die Musterverschiebungen in eine entsprechende Tiefenkarte um, unter der Annahme üblicher Bildschirmeinstellungen.

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]=

Erzeugen Sie mit dem folgenden Code Ihr eigenes Stereogramm mit beliebigem Muster und Tiefenkarte.

Den kompletten Wolfram Language-Input zeigen
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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