Calculate of total length of edges in Voronoi diagram
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Does anyone have any suggestions how to determine the total sum of edges length in a Voronoi diagram?
computational-geometry
asked 6 hours ago
Mati GerMati Ger
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Does anyone have any suggestions how to determine the total sum of edges length in a Voronoi diagram?
computational-geometry
asked 6 hours ago
Mati GerMati Ger
311
New contributor
Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
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– m_goldberg
6 hours ago
add a comment |
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Does anyone have any suggestions how to determine the total sum of edges length in a Voronoi diagram?
computational-geometry
asked 6 hours ago
Mati GerMati Ger
311
New contributor
Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Does anyone have any suggestions how to determine the total sum of edges length in a Voronoi diagram?
computational-geometry
computational-geometry
asked 6 hours ago
Mati GerMati Ger
311
New contributor
Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 6 hours ago
Mati GerMati Ger
311
New contributor
Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 6 hours ago
Mati GerMati Ger
311
New contributor
Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 6 hours ago
Mati GerMati Ger
311
asked 6 hours ago
Mati GerMati Ger
311
311
New contributor
Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
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– m_goldberg
6 hours ago
add a comment |
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Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
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– m_goldberg
6 hours ago
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Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
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– m_goldberg
6 hours ago
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Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
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– m_goldberg
6 hours ago
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2 Answers
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SeedRandom[1234];
R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
Total[PropertyValue[{R, 1}, MeshCellMeasure]]
31.1601
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54.9k474153
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SeedRandom[1]
pts = RandomReal[{-1, 1}, {5, 2}];
vm = VoronoiMesh[pts]
You can use the property "EdgeLengths":
Total @ vm["EdgeLengths"]
12.2894
If you need the lengths of individual edges:
lengths = RegionMeasure /@ MeshPrimitives[vm, 1]
{0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}
Total[lengths]
12.2894
Alternatively, you can use ArcLength in place of RegionMeasure:
lengths == ArcLength /@ MeshPrimitives[vm, 1]
True
answered 5 hours ago
kglrkglr
186k10202421
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
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active
oldest
votes
$begingroup$
SeedRandom[1234];
R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
Total[PropertyValue[{R, 1}, MeshCellMeasure]]
31.1601
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54.9k474153
$endgroup$
add a comment |
$begingroup$
SeedRandom[1234];
R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
Total[PropertyValue[{R, 1}, MeshCellMeasure]]
31.1601
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54.9k474153
$endgroup$
add a comment |
$begingroup$
SeedRandom[1234];
R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
Total[PropertyValue[{R, 1}, MeshCellMeasure]]
31.1601
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54.9k474153
$endgroup$
SeedRandom[1234];
R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
Total[PropertyValue[{R, 1}, MeshCellMeasure]]
31.1601
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54.9k474153
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54.9k474153
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54.9k474153
answered 5 hours ago
Henrik SchumacherHenrik Schumacher
54.9k474153
54.9k474153
add a comment |
add a comment |
$begingroup$
SeedRandom[1]
pts = RandomReal[{-1, 1}, {5, 2}];
vm = VoronoiMesh[pts]
You can use the property "EdgeLengths":
Total @ vm["EdgeLengths"]
12.2894
If you need the lengths of individual edges:
lengths = RegionMeasure /@ MeshPrimitives[vm, 1]
{0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}
Total[lengths]
12.2894
Alternatively, you can use ArcLength in place of RegionMeasure:
lengths == ArcLength /@ MeshPrimitives[vm, 1]
True
answered 5 hours ago
kglrkglr
186k10202421
$endgroup$
add a comment |
$begingroup$
SeedRandom[1]
pts = RandomReal[{-1, 1}, {5, 2}];
vm = VoronoiMesh[pts]
You can use the property "EdgeLengths":
Total @ vm["EdgeLengths"]
12.2894
If you need the lengths of individual edges:
lengths = RegionMeasure /@ MeshPrimitives[vm, 1]
{0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}
Total[lengths]
12.2894
Alternatively, you can use ArcLength in place of RegionMeasure:
lengths == ArcLength /@ MeshPrimitives[vm, 1]
True
answered 5 hours ago
kglrkglr
186k10202421
$endgroup$
add a comment |
$begingroup$
SeedRandom[1]
pts = RandomReal[{-1, 1}, {5, 2}];
vm = VoronoiMesh[pts]
You can use the property "EdgeLengths":
Total @ vm["EdgeLengths"]
12.2894
If you need the lengths of individual edges:
lengths = RegionMeasure /@ MeshPrimitives[vm, 1]
{0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}
Total[lengths]
12.2894
Alternatively, you can use ArcLength in place of RegionMeasure:
lengths == ArcLength /@ MeshPrimitives[vm, 1]
True
answered 5 hours ago
kglrkglr
186k10202421
$endgroup$
SeedRandom[1]
pts = RandomReal[{-1, 1}, {5, 2}];
vm = VoronoiMesh[pts]
You can use the property "EdgeLengths":
Total @ vm["EdgeLengths"]
12.2894
If you need the lengths of individual edges:
lengths = RegionMeasure /@ MeshPrimitives[vm, 1]
{0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}
Total[lengths]
12.2894
Alternatively, you can use ArcLength in place of RegionMeasure:
lengths == ArcLength /@ MeshPrimitives[vm, 1]
True
answered 5 hours ago
kglrkglr
186k10202421
edited 3 hours ago
answered 5 hours ago
kglrkglr
186k10202421
answered 5 hours ago
kglrkglr
186k10202421
answered 5 hours ago
kglrkglr
186k10202421
186k10202421
add a comment |
add a comment |
Mati Ger is a new contributor. Be nice, and check out our Code of Conduct.
Mati Ger is a new contributor. Be nice, and check out our Code of Conduct.
Mati Ger is a new contributor. Be nice, and check out our Code of Conduct.
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Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
$endgroup$
– m_goldberg
6 hours ago