Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Bin data into rectangular tiles
ResourceFunction["TileBins"][mat,s] bins a numerical full 2D array mat into square grid tiles with size s. | |
ResourceFunction["TileBins"][mat,{hx,hy}] bins a numerical full 2D array mat into rectangular grid tiles with x-y sizes {hx,hy}. | |
ResourceFunction["TileBins"][cv,s] bins coordinates-to-value rules cv. |
"AggregationFunction" | Total | function to aggregate the data in each tile |
"PolygonKeys" | True | determine whether the result keys are polygons |
Create a list of random 2D points:
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Bin the points:
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Bin the points and get the tile centers as keys:
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Plot points and square bins:
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Plot points and rectangle bins:
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Associate random values to 2D data:
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Bin the data rules:
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Bin the keys of the data rules:
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Check the equivalence:
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Bin the data rules and compute average values on each tile:
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Compare with the default option value, Total:
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Instead of polygons as keys, you can get the centers of the polygons:
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Generate data rules:
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Here we bin the data:
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Plot points and square bins by coloring each square according to its aggregated value:
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Repeat the visualization above with rectangular tiles instead of square ones:
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You can make rectangular grids:
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The coordinates of the polygons can be retrieved and transformed further:
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The repository function HextileBins has similar design and implementation as TileBins. Here are comparison examples:
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The function GeoHistogram produces similar plots (in Version 12.1):
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The function GridGraph can be also used to make rectangular grids:
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Here are the corresponding coordinates:
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Here are the corresponding polygons:
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Make a similar grid with TileBins:
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Here are the corresponding coordinates:
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Bin data and summarize the values associated to bin centers:
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