Mathematica Asked on January 14, 2021
I have many polygons of the following form that I wish to do more complicated processing and analysis based on it’s updated location (such as relationships between geometries).
Translate[Polygon[{{0, 0}, {0, 50}, {100, 50}, {100, 0}}], {954, 840}]
I thought I had found my solution of how to recover the coordinates of a translated Polygon
from an earlier thread about Points
. However, when I tried to applied Normal
M12.1 just returns the expression again.
Normal[Translate[Polygon[{{0, 0}, {0, 50}, {100, 50}, {100, 0}}], {954, 840}]]
I’ve tried some more complicated ways to extract the coordinates from a Graphics
object to no avail. Does anyone have any suggestions about how they would recover the Polygons
updated extents?
translateToNormal[t_Translate] := TranslationTransform[#2] /@ # & @@ t
tp = Translate[Polygon[{{0, 0}, {0, 50}, {100, 50}, {100, 0}}], {954, 840}]
translateToNormal[tp]
Polygon[{{954, 840}, {954, 890}, {1054, 890}, {1054, 840}}]
Alternatively,
translateToNormal2 = # /. Translate -> (TranslationTransform[#2] /@ # &) &;
translateToNormal2 @ tp
Polygon[{{954, 840}, {954, 890}, {1054, 890}, {1054, 840}}]
Graphics[{FaceForm[], EdgeForm[{AbsoluteThickness[10], Red}], translateToNormal[tp],
EdgeForm[{Thin, Black}], tp}]
To get the coordinates:
normalCoords[t_Translate] := TranslationTransform[#2] @ #[[1]] & @@ t
normalCoords[tp]
{{954, 840}, {954, 890}, {1054, 890}, {1054, 840}}
Correct answer by kglr on January 14, 2021
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