Calculate total length of edges in select Voronoi diagram
3
$begingroup$
I want to calculate the total length of edges in a Voronoi diagram like this
I can calculate this with
lengths = RegionMeasure /@ MeshPrimitives[VoronoiMesh[pts], 1];
Total[lengths]
but, I want to eliminate from the calculation the diagrams touching the border of the image. I can select this diagrams like here
and I can keep with the orange diagrams
but I don't know how to calculate the total length of the edges of the last graphic. Any suggestions?
computational-geometry
edited 7 mins ago
J. M. is computer-less♦
97.3k10303463
asked 5 hours ago
Mati GerMati Ger
483
$endgroup$
add a comment |
3
$begingroup$
I want to calculate the total length of edges in a Voronoi diagram like this
I can calculate this with
lengths = RegionMeasure /@ MeshPrimitives[VoronoiMesh[pts], 1];
Total[lengths]
but, I want to eliminate from the calculation the diagrams touching the border of the image. I can select this diagrams like here
and I can keep with the orange diagrams
but I don't know how to calculate the total length of the edges of the last graphic. Any suggestions?
computational-geometry
edited 7 mins ago
J. M. is computer-less♦
97.3k10303463
asked 5 hours ago
Mati GerMati Ger
483
$endgroup$
1
$begingroup$
Can you add the code to select the inner cells and the definition ofpts?
$endgroup$
– MarcoB
5 hours ago
$begingroup$
The distribution of points pts comes from a picture but could be random numbers. For example: SeedRandom[332] pts = RandomReal[1, {100, 2}]; xy = VoronoiMesh[pts, {{0, 1}, {0, 1}}]; i2 = MeshCellIndex[xy, {2, "Interior"}] ; HighlightMesh[xy, Style[i2, LightOrange]]
$endgroup$
– Mati Ger
4 hours ago
add a comment |
3
3
3
$begingroup$
I want to calculate the total length of edges in a Voronoi diagram like this
I can calculate this with
lengths = RegionMeasure /@ MeshPrimitives[VoronoiMesh[pts], 1];
Total[lengths]
but, I want to eliminate from the calculation the diagrams touching the border of the image. I can select this diagrams like here
and I can keep with the orange diagrams
but I don't know how to calculate the total length of the edges of the last graphic. Any suggestions?
computational-geometry
edited 7 mins ago
J. M. is computer-less♦
97.3k10303463
asked 5 hours ago
Mati GerMati Ger
483
$endgroup$
I want to calculate the total length of edges in a Voronoi diagram like this
I can calculate this with
lengths = RegionMeasure /@ MeshPrimitives[VoronoiMesh[pts], 1];
Total[lengths]
but, I want to eliminate from the calculation the diagrams touching the border of the image. I can select this diagrams like here
and I can keep with the orange diagrams
but I don't know how to calculate the total length of the edges of the last graphic. Any suggestions?
computational-geometry
computational-geometry
edited 7 mins ago
J. M. is computer-less♦
97.3k10303463
asked 5 hours ago
Mati GerMati Ger
483
edited 7 mins ago
J. M. is computer-less♦
97.3k10303463
asked 5 hours ago
Mati GerMati Ger
483
edited 7 mins ago
J. M. is computer-less♦
97.3k10303463
edited 7 mins ago
J. M. is computer-less♦
97.3k10303463
edited 7 mins ago
J. M. is computer-less♦
97.3k10303463
97.3k10303463
asked 5 hours ago
Mati GerMati Ger
483
asked 5 hours ago
Mati GerMati Ger
483
asked 5 hours ago
Mati GerMati Ger
483
483
1
$begingroup$
Can you add the code to select the inner cells and the definition ofpts?
$endgroup$
– MarcoB
5 hours ago
$begingroup$
The distribution of points pts comes from a picture but could be random numbers. For example: SeedRandom[332] pts = RandomReal[1, {100, 2}]; xy = VoronoiMesh[pts, {{0, 1}, {0, 1}}]; i2 = MeshCellIndex[xy, {2, "Interior"}] ; HighlightMesh[xy, Style[i2, LightOrange]]
$endgroup$
– Mati Ger
4 hours ago
add a comment |
1
$begingroup$
Can you add the code to select the inner cells and the definition ofpts?
$endgroup$
– MarcoB
5 hours ago
$begingroup$
The distribution of points pts comes from a picture but could be random numbers. For example: SeedRandom[332] pts = RandomReal[1, {100, 2}]; xy = VoronoiMesh[pts, {{0, 1}, {0, 1}}]; i2 = MeshCellIndex[xy, {2, "Interior"}] ; HighlightMesh[xy, Style[i2, LightOrange]]
$endgroup$
– Mati Ger
4 hours ago
1
1
$begingroup$
Can you add the code to select the inner cells and the definition of
pts?$endgroup$
– MarcoB
5 hours ago
$begingroup$
Can you add the code to select the inner cells and the definition of
pts?$endgroup$
– MarcoB
5 hours ago
$begingroup$
The distribution of points pts comes from a picture but could be random numbers. For example: SeedRandom[332] pts = RandomReal[1, {100, 2}]; xy = VoronoiMesh[pts, {{0, 1}, {0, 1}}]; i2 = MeshCellIndex[xy, {2, "Interior"}] ; HighlightMesh[xy, Style[i2, LightOrange]]
$endgroup$
– Mati Ger
4 hours ago
$begingroup$
The distribution of points pts comes from a picture but could be random numbers. For example: SeedRandom[332] pts = RandomReal[1, {100, 2}]; xy = VoronoiMesh[pts, {{0, 1}, {0, 1}}]; i2 = MeshCellIndex[xy, {2, "Interior"}] ; HighlightMesh[xy, Style[i2, LightOrange]]
$endgroup$
– Mati Ger
4 hours ago
add a comment |
1 Answer
1
active
oldest
votes
6
$begingroup$
SeedRandom[1]
pts = RandomReal[1, {100, 2}];
vm = VoronoiMesh[pts];
"Interior"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Interior"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm , {1, "Interior"}]]
19.4739
Alternatively,
Total[RegionMeasure /@ MeshPrimitives[vm, {1, "Interior"}]]
19.4739
RegionMeasure[MeshRegion[MeshCoordinates[vm], MeshCells[vm, {1, "Interior"}]]]
19.4739
"Boundary"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Boundary"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Boundary"}]]
5.92015
"Frontier"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Frontier"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Frontier"}]]
5.357575
All lines
Total[vm["EdgeLengths"]]
30.75167
Total[ArcLength /@ MeshPrimitives[vm , 1]]
30.751672460568727
answered 5 hours ago
kglrkglr
187k10203421
$endgroup$
$begingroup$
So long as none of the cells adjacent to the boundary aren't in fact the full Voronoi cell. This would only happen in contrived cases though.
$endgroup$
– Chip Hurst
5 hours ago
$begingroup$
@ChipHurst, good point.
$endgroup$
– kglr
5 hours ago
$begingroup$
I am impressed by the speed and clarity in your response, kglr. I am very grateful with you. Thank you.
$endgroup$
– Mati Ger
4 hours ago
$begingroup$
@MatiGer, my pleasure. Thank you for the kind words and accept.
$endgroup$
– kglr
4 hours ago
add a comment |
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
6
$begingroup$
SeedRandom[1]
pts = RandomReal[1, {100, 2}];
vm = VoronoiMesh[pts];
"Interior"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Interior"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm , {1, "Interior"}]]
19.4739
Alternatively,
Total[RegionMeasure /@ MeshPrimitives[vm, {1, "Interior"}]]
19.4739
RegionMeasure[MeshRegion[MeshCoordinates[vm], MeshCells[vm, {1, "Interior"}]]]
19.4739
"Boundary"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Boundary"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Boundary"}]]
5.92015
"Frontier"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Frontier"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Frontier"}]]
5.357575
All lines
Total[vm["EdgeLengths"]]
30.75167
Total[ArcLength /@ MeshPrimitives[vm , 1]]
30.751672460568727
answered 5 hours ago
kglrkglr
187k10203421
$endgroup$
$begingroup$
So long as none of the cells adjacent to the boundary aren't in fact the full Voronoi cell. This would only happen in contrived cases though.
$endgroup$
– Chip Hurst
5 hours ago
$begingroup$
@ChipHurst, good point.
$endgroup$
– kglr
5 hours ago
$begingroup$
I am impressed by the speed and clarity in your response, kglr. I am very grateful with you. Thank you.
$endgroup$
– Mati Ger
4 hours ago
$begingroup$
@MatiGer, my pleasure. Thank you for the kind words and accept.
$endgroup$
– kglr
4 hours ago
add a comment |
6
$begingroup$
SeedRandom[1]
pts = RandomReal[1, {100, 2}];
vm = VoronoiMesh[pts];
"Interior"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Interior"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm , {1, "Interior"}]]
19.4739
Alternatively,
Total[RegionMeasure /@ MeshPrimitives[vm, {1, "Interior"}]]
19.4739
RegionMeasure[MeshRegion[MeshCoordinates[vm], MeshCells[vm, {1, "Interior"}]]]
19.4739
"Boundary"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Boundary"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Boundary"}]]
5.92015
"Frontier"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Frontier"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Frontier"}]]
5.357575
All lines
Total[vm["EdgeLengths"]]
30.75167
Total[ArcLength /@ MeshPrimitives[vm , 1]]
30.751672460568727
answered 5 hours ago
kglrkglr
187k10203421
$endgroup$
$begingroup$
So long as none of the cells adjacent to the boundary aren't in fact the full Voronoi cell. This would only happen in contrived cases though.
$endgroup$
– Chip Hurst
5 hours ago
$begingroup$
@ChipHurst, good point.
$endgroup$
– kglr
5 hours ago
$begingroup$
I am impressed by the speed and clarity in your response, kglr. I am very grateful with you. Thank you.
$endgroup$
– Mati Ger
4 hours ago
$begingroup$
@MatiGer, my pleasure. Thank you for the kind words and accept.
$endgroup$
– kglr
4 hours ago
add a comment |
6
6
6
$begingroup$
SeedRandom[1]
pts = RandomReal[1, {100, 2}];
vm = VoronoiMesh[pts];
"Interior"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Interior"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm , {1, "Interior"}]]
19.4739
Alternatively,
Total[RegionMeasure /@ MeshPrimitives[vm, {1, "Interior"}]]
19.4739
RegionMeasure[MeshRegion[MeshCoordinates[vm], MeshCells[vm, {1, "Interior"}]]]
19.4739
"Boundary"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Boundary"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Boundary"}]]
5.92015
"Frontier"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Frontier"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Frontier"}]]
5.357575
All lines
Total[vm["EdgeLengths"]]
30.75167
Total[ArcLength /@ MeshPrimitives[vm , 1]]
30.751672460568727
answered 5 hours ago
kglrkglr
187k10203421
$endgroup$
SeedRandom[1]
pts = RandomReal[1, {100, 2}];
vm = VoronoiMesh[pts];
"Interior"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Interior"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm , {1, "Interior"}]]
19.4739
Alternatively,
Total[RegionMeasure /@ MeshPrimitives[vm, {1, "Interior"}]]
19.4739
RegionMeasure[MeshRegion[MeshCoordinates[vm], MeshCells[vm, {1, "Interior"}]]]
19.4739
"Boundary"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Boundary"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Boundary"}]]
5.92015
"Frontier"
HighlightMesh[vm, Style[MeshCellIndex[vm, {1, "Frontier"}], Red]]
Total[ArcLength /@ MeshPrimitives[vm, {1, "Frontier"}]]
5.357575
All lines
Total[vm["EdgeLengths"]]
30.75167
Total[ArcLength /@ MeshPrimitives[vm , 1]]
30.751672460568727
answered 5 hours ago
kglrkglr
187k10203421
edited 3 hours ago
answered 5 hours ago
kglrkglr
187k10203421
answered 5 hours ago
kglrkglr
187k10203421
answered 5 hours ago
kglrkglr
187k10203421
187k10203421
$begingroup$
So long as none of the cells adjacent to the boundary aren't in fact the full Voronoi cell. This would only happen in contrived cases though.
$endgroup$
– Chip Hurst
5 hours ago
$begingroup$
@ChipHurst, good point.
$endgroup$
– kglr
5 hours ago
$begingroup$
I am impressed by the speed and clarity in your response, kglr. I am very grateful with you. Thank you.
$endgroup$
– Mati Ger
4 hours ago
$begingroup$
@MatiGer, my pleasure. Thank you for the kind words and accept.
$endgroup$
– kglr
4 hours ago
add a comment |
$begingroup$
So long as none of the cells adjacent to the boundary aren't in fact the full Voronoi cell. This would only happen in contrived cases though.
$endgroup$
– Chip Hurst
5 hours ago
$begingroup$
@ChipHurst, good point.
$endgroup$
– kglr
5 hours ago
$begingroup$
I am impressed by the speed and clarity in your response, kglr. I am very grateful with you. Thank you.
$endgroup$
– Mati Ger
4 hours ago
$begingroup$
@MatiGer, my pleasure. Thank you for the kind words and accept.
$endgroup$
– kglr
4 hours ago
$begingroup$
So long as none of the cells adjacent to the boundary aren't in fact the full Voronoi cell. This would only happen in contrived cases though.
$endgroup$
– Chip Hurst
5 hours ago
$begingroup$
So long as none of the cells adjacent to the boundary aren't in fact the full Voronoi cell. This would only happen in contrived cases though.
$endgroup$
– Chip Hurst
5 hours ago
$begingroup$
@ChipHurst, good point.
$endgroup$
– kglr
5 hours ago
$begingroup$
@ChipHurst, good point.
$endgroup$
– kglr
5 hours ago
$begingroup$
I am impressed by the speed and clarity in your response, kglr. I am very grateful with you. Thank you.
$endgroup$
– Mati Ger
4 hours ago
$begingroup$
I am impressed by the speed and clarity in your response, kglr. I am very grateful with you. Thank you.
$endgroup$
– Mati Ger
4 hours ago
$begingroup$
@MatiGer, my pleasure. Thank you for the kind words and accept.
$endgroup$
– kglr
4 hours ago
$begingroup$
@MatiGer, my pleasure. Thank you for the kind words and accept.
$endgroup$
– kglr
4 hours ago
add a comment |
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1
$begingroup$
Can you add the code to select the inner cells and the definition of
pts?$endgroup$
– MarcoB
5 hours ago
$begingroup$
The distribution of points pts comes from a picture but could be random numbers. For example: SeedRandom[332] pts = RandomReal[1, {100, 2}]; xy = VoronoiMesh[pts, {{0, 1}, {0, 1}}]; i2 = MeshCellIndex[xy, {2, "Interior"}] ; HighlightMesh[xy, Style[i2, LightOrange]]
$endgroup$
– Mati Ger
4 hours ago