Matrix Images

Mask a green image with a grid of numbers to give an effect like retro ASCII computer art, or special effects in the Matrix movies.

Use natural language to request a picture of something:

Hint: try a common type of animal, or a famous person.

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There are lots of ways to get pictures in the Wolfram Language.

On the desktop, you can take a picture with your computers camera using CurrentImage.

You can use the Wolfram Knowledgebase (the same one that powers Wolfram|Alpha) to ask for a picture of something. Hold down the key and press = to get a natural language input field ():

\!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "picture of Arnold Schwarzenegger", WolframAlphaClient`Private`boxes$$ = RowBox[{"EntityValue", "[", RowBox[{ TemplateBox[{"\"Arnold Schwarzenegger\"", RowBox[{"Entity", "[", RowBox[{"\"Person\"", ",", "\"ArnoldSchwarzenegger::6bc4j\""}], "]"}], "\"Entity[\\\"Person\\\", \ \\\"ArnoldSchwarzenegger::6bc4j\\\"]\"", "\"person\""}, "Entity"], ",", TemplateBox[{"\"image\"", RowBox[{"EntityProperty", "[", RowBox[{"\"Person\"", ",", "\"Image\""}], "]"}], "\"EntityProperty[\\\"Person\\\", \\\"Image\\\"]\""}, "EntityProperty"]}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "Clash", "word" -> "Arnold Schwarzenegger", "template" -> "Assuming \"${word}\" is ${desc1}. Use as \ ${desc2} instead", "count" -> "2", "Values" -> {{ "name" -> "Person", "desc" -> "a person", "input" -> "*C.Arnold+Schwarzenegger-_*Person-"}, { "name" -> "PopularCurve", "desc" -> "a popular curve", "input" -> "*C.Arnold+Schwarzenegger-_*PopularCurve-"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{201., {7., 16.}}, TrackedSymbols:>{ WolframAlphaClient`Private`query$$, WolframAlphaClient`Private`boxes$$, WolframAlphaClient`Private`allassumptions$$, WolframAlphaClient`Private`assumptions$$, WolframAlphaClient`Private`open$$}], DynamicModuleValues:>{}, UndoTrackedVariables:>{WolframAlphaClient`Private`open$$}], BaseStyle->{"Deploy"}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

You can also drag images from most websites and drop them right into the code. If you want to refer to it later you can always give it a name like image:

image = \!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "picture of Arnold Schwarzenegger", WolframAlphaClient`Private`boxes$$ = RowBox[{"EntityValue", "[", RowBox[{ TemplateBox[{"\"Arnold Schwarzenegger\"", RowBox[{"Entity", "[", RowBox[{"\"Person\"", ",", "\"ArnoldSchwarzenegger::6bc4j\""}], "]"}], "\"Entity[\\\"Person\\\", \\\"ArnoldSchwarzenegger::6bc4j\ \\\"]\"", "\"person\""}, "Entity"], ",", TemplateBox[{"\"image\"", RowBox[{"EntityProperty", "[", RowBox[{"\"Person\"", ",", "\"Image\""}], "]"}], "\"EntityProperty[\\\"Person\\\", \\\"Image\\\"]\""}, "EntityProperty"]}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "Clash", "word" -> "Arnold Schwarzenegger", "template" -> "Assuming \"${word}\" is ${desc1}. Use as \ ${desc2} instead", "count" -> "2", "Values" -> {{ "name" -> "Person", "desc" -> "a person", "input" -> "*C.Arnold+Schwarzenegger-_*Person-"}, { "name" -> "PopularCurve", "desc" -> "a popular curve", "input" -> "*C.Arnold+Schwarzenegger-_*PopularCurve-"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{201., {7., 16.}}, TrackedSymbols:>{ WolframAlphaClient`Private`query$$, WolframAlphaClient`Private`boxes$$, WolframAlphaClient`Private`allassumptions$$, WolframAlphaClient`Private`assumptions$$, WolframAlphaClient`Private`open$$}], DynamicModuleValues:>{}, UndoTrackedVariables:>{WolframAlphaClient`Private`open$$}], BaseStyle->{"Deploy"}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

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\!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "picture of Arnold Schwarzenegger", WolframAlphaClient`Private`boxes$$ = RowBox[{"EntityValue", "[", RowBox[{ TemplateBox[{"\"Arnold Schwarzenegger\"", RowBox[{"Entity", "[", RowBox[{"\"Person\"", ",", "\"ArnoldSchwarzenegger::6bc4j\""}], "]"}], "\"Entity[\\\"Person\\\", \ \\\"ArnoldSchwarzenegger::6bc4j\\\"]\"", "\"person\""}, "Entity"], ",", TemplateBox[{"\"image\"", RowBox[{"EntityProperty", "[", RowBox[{"\"Person\"", ",", "\"Image\""}], "]"}], "\"EntityProperty[\\\"Person\\\", \\\"Image\\\"]\""}, "EntityProperty"]}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "Clash", "word" -> "Arnold Schwarzenegger", "template" -> "Assuming \"${word}\" is ${desc1}. Use as \ ${desc2} instead", "count" -> "2", "Values" -> {{ "name" -> "Person", "desc" -> "a person", "input" -> "*C.Arnold+Schwarzenegger-_*Person-"}, { "name" -> "PopularCurve", "desc" -> "a popular curve", "input" -> "*C.Arnold+Schwarzenegger-_*PopularCurve-"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{219., {7., 16.}}, TrackedSymbols:>{ WolframAlphaClient`Private`query$$, WolframAlphaClient`Private`boxes$$, WolframAlphaClient`Private`allassumptions$$, WolframAlphaClient`Private`assumptions$$, WolframAlphaClient`Private`open$$}], DynamicModuleValues:>{}, UndoTrackedVariables:>{WolframAlphaClient`Private`open$$}], BaseStyle->{"Deploy"}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

Run the code to make the image larger. Try other sizes:

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Enlarge the image to 200 pixels wide:

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Convert the color image to a monochrome green image. Try converting some other images:

SHOW/HIDE DETAILS

This converts a color photo to a black and white (grayscale) image:

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This converts the grayscale image to green:

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"Grayscale"], Green]

Make a grid of digits. Try making grids with different sizes of numbers:

SHOW/HIDE DETAILS

Were going to want to mask the image with a grid of random digits.

Get a random digit between 0 and 9:

RandomInteger[{0, 9}]

Make a 10×10 array of random digits:

RandomInteger[{0, 9}, {10, 10}]

Format the array as a grid:

Grid[RandomInteger[{0, 9}, {10, 10}]]

Reduce the grid spacing with Spacings->{0,0} to pack the numbers tightly:

Grid[RandomInteger[{0, 9}, {10, 10}], Spacings -> {0, 0}]

Reduce the font size to 8 points with FontSize->8:

Style[Grid[RandomInteger[{0, 9}, {10, 10}], Spacings -> {0, 0}], FontSize -> 8]

Use FontColor->White and Background->Black to make the numbers white and the background black:

Style[Grid[RandomInteger[{0, 9}, {10, 10}], Spacings -> {0, 0}], FontSize -> 8, FontColor -> White, Background -> Black]

Make the grid larger by increasing its size from 10×10 to 50×40:

Style[Grid[RandomInteger[{0, 9}, {50, 40}], Spacings -> {0, 0}], FontSize -> 8, FontColor -> White, Background -> Black]

HIDE DETAILS
Style[Grid[RandomInteger[{0, 9}, {50, 40}], Spacings -> {0, 0}], FontSize -> 8, FontColor -> White, Background -> Black]

Convert the digit grid to an image so you can use it as an image mask:

SHOW/HIDE DETAILS

This gives a grid of digits. The result is text. You can select blocks of text in the grid by dragging in it:

Grid[RandomInteger[{0, 9}, {8, 8}]]

Convert the digit grid to an image with Rasterize. The result is a picture. You can no longer select blocks of text in the grid by dragging in it, but you can select the whole image by clicking it. The orange frame tells you that its an image:

Rasterize[Grid[RandomInteger[{0, 9}, {8, 8}]]]

If you drag one of the handles on the frame to enlarge the image, you can see the individual pixels:

Rasterize[Grid[RandomInteger[{0, 9}, {8, 8}]]]

HIDE DETAILS
Rasterize[ Style[Grid[RandomInteger[{0, 9}, {50, 40}], Spacings -> {0, 0}], FontSize -> 8, FontColor -> White, Background -> Black]]

Apply the digit mask to the green image to make a Matrix-effect image. Try the effect on some other images:

SHOW/HIDE DETAILS

Heres a green image. Give it the name image so you can use it later:

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"Grayscale"], Green]

And heres an image of a digit grid to use as a mask:

mask = Rasterize[ Style[Grid[RandomInteger[{0, 9}, {50, 40}], Spacings -> {0, 0}], FontSize -> 8, FontColor -> White, Background -> Black]]

To get the Matrix effect, apply the mask to the green image with ImageMultiply:

ImageMultiply[image, mask]

HIDE DETAILS
image = ImageMultiply[ColorConvert[ImageResize[\!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJysvAVUW922x7txbaFGjTotpUIpUEpxd5cQCEGDBEiAJAQPTnBLIFhwl+Du 7u5SV2rQlspXy9vQ75x7zpV37xvj7TGzWXsnjI71Y8p/Zq3dC3buRo6MAABg 2cGTka23IgZj62vMC16YorFIJ7QDQhONc3BywEjaMYE308CXBfjaG39+MPn1 PmjToO3en/i4OfRpY2B3ve/zSs+nlf6PK8Pb62Pb6yMf1vo+LbV9WWh5v9jx cbFzZ759a67tzVL3+5munYmOD1Ndr2c6X063v5/q3B5vfT/d9niy7ul888Pp +teTjc/H6l7Ntr6Yank1Vb81UbrYkpgaYGWtq2hpqO9oZYl2cLaHOmooGoqI SArdun5HUEDiqqDc9ZsKN4SVb91Wk7inKCmrKCunq6xoa6CBsTJ1NTeFaBvK 31MWvSEheP6q8CXB6+cFrp65IHDyDDgQ5D/Px8VziufImcN8Zw6fOHvk5Plj py8eP3OB7+y5o/xnj5w+w3fw9NGDF0/wXeA7dYr3BD/f+dMnr0jL6bpiQomk /G8Phv56OPrXg4lv98c/bw7vbg7ubvZ+2ez7sj64uzb8YX38/drom7Whtyv9 O8s9n5a6tld6Piz17C71vl/ofjPf+X6m4+NUx85U+9Zs5+vFnq3x5u3xlo8z bW9nW9/vvdv+frJha6LuxWTT8/GmrYmG12NlC3VxiZ5mUJV7Jprq1mamjnAb SyO4mrSO6LU7t65fk7l2VUn4lo7EPcO7UkaS0gYychr35FSl5HSVFBCGWt42 UFcziJ6y5u3rdy+fEzp7/NyFE6fP8Z0Ejf8I3/njp8DzQRZ2XjZO0A5zHDzK 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