Runs all-to-all traversal on a map with a graph. This is applicable to:
PointMaps (Visibility Graph Analysis)
Axial ShapeGraphs (Axial analysis)
Segment ShapeGraphs (Segment analysis)
Usage
allToAllTraverse(
map,
traversalType,
radii,
radiusTraversalType,
weightByAttribute = NULL,
includeBetweenness = FALSE,
quantizationWidth = NA,
gatesOnly = FALSE,
nthreads = 1L,
copyMap = TRUE,
verbose = FALSE,
progress = FALSE
)Arguments
- map
A PointMap, Axial ShapeGraph or Segment ShapeGraph
- traversalType
The traversal type. See TraversalType
- radii
A list of radii
- radiusTraversalType
The traversal type to keep track of whether the analysis is within the each radius limit. See TraversalType
- weightByAttribute
The attribute to weigh the analysis with
- includeBetweenness
Set to TRUE to also calculate betweenness (known as Choice in the Space Syntax domain)
- quantizationWidth
Set this to use chunks of this width instead of continuous values for the cost of traversal. This is equivalent to the "tulip bins" for depthmapX's tulip analysis (1024 tulip bins = pi/1024 quantizationWidth). Only works for Segment ShapeGraphs
- gatesOnly
Optional. Only calculate results at particular gate pixels. Only works for PointMaps
- nthreads
Optional. Use more than one threads. 1 by default, set to 0 to use all available. Only available for PointMaps.
- copyMap
Optional. Copy the internal sala map
- verbose
Optional. Show more information of the process.
- progress
Optional. Enable progress display
Examples
# Pointmap analysis (VGA)
mifFile <- system.file(
"extdata", "testdata", "simple",
"simple_interior.mif",
package = "alcyon"
)
sfMap <- st_read(mifFile,
geometry_column = 1L, quiet = TRUE
)
pointMap <- makeVGAPointMap(
sfMap,
gridSize = 0.5,
fillX = 3.0,
fillY = 6.0,
maxVisibility = NA,
boundaryGraph = FALSE,
verbose = FALSE
)
allToAllTraverse(pointMap,
traversalType = TraversalType$Angular,
radii = -1L,
radiusTraversalType = TraversalType$None
)
#> stars object with 2 dimensions and 10 attributes
#> attribute(s):
#> Min. 1st Qu. Median Mean
#> Ref 0.000000e+00 1.966108e+05 3.932215e+05 3.932215e+05
#> Connectivity 3.900000e+01 6.500000e+01 7.500000e+01 7.106667e+01
#> Point First Moment 9.203807e+01 1.451355e+02 1.732670e+02 1.750389e+02
#> Point Second Moment 2.400000e+02 3.885625e+02 5.315000e+02 5.387111e+02
#> blocked 0.000000e+00 0.000000e+00 0.000000e+00 3.205128e-01
#> contextfilled 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> filled 0.000000e+00 0.000000e+00 1.000000e+00 5.769231e-01
#> Angular Mean Depth 1.546766e-03 2.146721e-02 6.614886e-02 1.193368e-01
#> Angular Node Count 9.000000e+01 9.000000e+01 9.000000e+01 9.000000e+01
#> Angular Total Depth 1.392090e-01 1.932049e+00 5.953397e+00 1.074031e+01
#> 3rd Qu. Max. NA's
#> Ref 5.898322e+05 7.864430e+05 0
#> Connectivity 8.100000e+01 8.800000e+01 66
#> Point First Moment 2.021131e+02 2.921885e+02 66
#> Point Second Moment 6.655625e+02 1.157750e+03 66
#> blocked 1.000000e+00 1.000000e+00 0
#> contextfilled 0.000000e+00 0.000000e+00 0
#> filled 1.000000e+00 1.000000e+00 0
#> Angular Mean Depth 1.826283e-01 4.806018e-01 66
#> Angular Node Count 9.000000e+01 9.000000e+01 66
#> Angular Total Depth 1.643655e+01 4.325416e+01 66
#> dimension(s):
#> from to offset delta x/y
#> x 1 13 1.75 0.5 [x]
#> y 1 12 7.25 -0.5 [y]
# Axial analysis
mifFile <- system.file(
"extdata", "testdata", "barnsbury",
"barnsbury_small_axial_original.mif",
package = "alcyon"
)
sfMap <- st_read(mifFile,
geometry_column = 1L, quiet = TRUE
)
shapeGraph <- as(sfMap, "AxialShapeGraph")
allToAllTraverse(
shapeGraph,
traversalType = TraversalType$Topological,
radii = c("n", "3"),
includeBetweenness = TRUE
)
#> Simple feature collection with 58 features and 28 fields
#> Geometry type: LINESTRING
#> Dimension: XY
#> Bounding box: xmin: 946 ymin: -2177 xmax: 1537 ymax: -1386
#> CRS: NA
#> First 10 features:
#> Depthmap_Ref Connectivity Data_Map_Ref Line_Length
#> 1 0 6 0 396.1881
#> 2 1 7 1 259.4803
#> 3 2 7 2 244.4770
#> 4 3 8 3 210.3450
#> 5 4 4 4 375.4797
#> 6 5 8 5 145.4648
#> 7 6 6 6 596.2349
#> 8 7 6 7 205.1829
#> 9 8 7 8 385.0117
#> 10 9 10 9 273.1483
#> geometry Data Map Ref Line Length Choice Choice R3
#> 1 LINESTRING (984 -1684, 1346... 0 396.1881 205 86
#> 2 LINESTRING (1306 -1497, 137... 1 259.4803 279 82
#> 3 LINESTRING (1257 -1772, 149... 2 244.4770 328 128
#> 4 LINESTRING (1200 -1581, 127... 3 210.3450 493 191
#> 5 LINESTRING (1174 -1684, 153... 4 375.4797 118 24
#> 6 LINESTRING (1223 -1898, 126... 5 145.4648 502 216
#> 7 LINESTRING (946 -1386, 1032... 6 596.2349 202 78
#> 8 LINESTRING (1350 -1896, 137... 7 205.1828 591 160
#> 9 LINESTRING (1117 -1979, 112... 8 385.0117 342 144
#> 10 LINESTRING (988 -1876, 1261... 9 273.1483 647 248
#> Choice [Norm] Choice [Norm] R3 Entropy Entropy R3 Harmonic Mean Depth
#> 1 0.12844612 0.09523810 1.966392 1.431980 5.170979
#> 2 0.17481203 0.06972789 1.813029 1.435994 16.434782
#> 3 0.20551379 0.12367149 1.872506 1.452452 17.749153
#> 4 0.30889726 0.14404224 1.758874 1.463609 14.419703
#> 5 0.07393484 0.05161290 1.937888 1.321543 8.701672
#> 6 0.31453633 0.16289593 1.731490 1.433642 14.256503
#> 7 0.12656641 0.07536232 1.934941 1.426639 5.121012
#> 8 0.37030074 0.11611030 1.658470 1.394359 11.949306
#> 9 0.21428572 0.13913043 1.955858 1.452452 5.196212
#> 10 0.40538847 0.18702866 1.864475 1.511067 4.842767
#> Harmonic Mean Depth R3 Integration [HH] Integration [HH] R3
#> 1 14.451612 1.917543 2.246524
#> 2 16.661158 2.151909 2.375361
#> 3 16.185471 2.060338 2.350789
#> 4 18.510180 2.361852 2.543419
#> 5 9.353847 1.524975 1.762609
#> 6 18.110973 2.548314 2.793591
#> 7 14.985915 2.082493 2.430477
#> 8 15.865385 2.391010 2.536365
#> 9 16.185471 2.151909 2.560681
#> 10 20.465117 2.482972 2.748533
#> Integration [P-value] Integration [P-value] R3 Integration [Tekl]
#> 1 1.917543 2.246524 0.7220190
#> 2 2.151909 2.375361 0.7405212
#> 3 2.060338 2.350789 0.7334335
#> 4 2.361852 2.543419 0.7561645
#> 5 1.524975 1.762609 0.6878769
#> 6 2.548314 2.793591 0.7694319
#> 7 2.082493 2.430477 0.7351641
#> 8 2.391010 2.536365 0.7582758
#> 9 2.151909 2.560681 0.7405212
#> 10 2.482972 2.748533 0.7648444
#> Integration [Tekl] R3 Intensity Intensity R3 Mean Depth Mean Depth R3
#> 1 0.7498006 1.1405076 1.105388 2.771930 2.348837
#> 2 0.7585479 1.1815245 1.104611 2.578947 2.346939
#> 3 0.7573853 1.1677991 1.137754 2.649123 2.326087
#> 4 0.7702533 1.2594405 1.175322 2.438596 2.288461
#> 5 0.7073136 0.8920435 0.939764 3.228070 2.483871
#> 6 0.7878321 1.3390193 1.266384 2.333333 2.173077
#> 7 0.7635773 1.2198540 1.156069 2.631579 2.282609
#> 8 0.7694886 1.2023906 1.107285 2.421053 2.301887
#> 9 0.7734766 1.2746043 1.241186 2.578947 2.217391
#> 10 0.7847281 1.4044101 1.312894 2.368421 2.192308
#> Node Count Node Count R3 Relativised Entropy Relativised Entropy R3
#> 1 58 44 1.760874 1.853100
#> 2 58 50 1.734981 1.858356
#> 3 58 47 1.748742 1.822981
#> 4 58 53 1.662805 1.783778
#> 5 58 32 2.097106 2.047915
#> 6 58 53 1.593437 1.692109
#> 7 58 47 1.676330 1.793509
#> 8 58 54 1.720402 1.844227
#> 9 58 47 1.626325 1.712716
#> 10 58 53 1.526621 1.657888
# Segment analysis
mifFile <- system.file(
"extdata", "testdata", "barnsbury",
"barnsbury_small_segment_original.mif",
package = "alcyon"
)
sfMap <- st_read(mifFile,
geometry_column = 1L, quiet = TRUE
)
shapeGraph <- as(sfMap, "SegmentShapeGraph")
allToAllTraverse(
shapeGraph,
radii = c("n", "100"),
radiusTraversalType = TraversalType$Metric,
traversalType = TraversalType$Angular,
weightByAttribute = "Segment Length",
includeBetweenness = TRUE,
quantizationWidth = pi / 1024L,
verbose = FALSE,
progress = FALSE
)
#> Simple feature collection with 173 features and 26 fields
#> Geometry type: LINESTRING
#> Dimension: XY
#> Bounding box: xmin: 989.1063 ymin: -2040.514 xmax: 1377.667 ymax: -1535.739
#> CRS: NA
#> First 10 features:
#> Depthmap_Ref Angular_Connectivity Axial_Line_Ref Connectivity Data_Map_Ref
#> 1 0 1.981438 -1 3 0
#> 2 1 2.115670 -1 4 1
#> 3 2 1.775849 -1 4 2
#> 4 3 2.034886 -1 4 3
#> 5 4 2.002752 -1 3 4
#> 6 5 2.052529 -1 3 5
#> 7 6 2.049290 -1 4 6
#> 8 7 2.035002 -1 4 7
#> 9 8 2.948040 -1 5 8
#> 10 9 4.000000 -1 6 9
#> Segment_Length geometry Angular Connectivity
#> 1 65.799698 LINESTRING (989.1063 -1681.... 1.981438
#> 2 77.203362 LINESTRING (1049.228 -1654.... 2.115669
#> 3 90.154808 LINESTRING (1119.769 -1623.... 1.775849
#> 4 91.088219 LINESTRING (1202.144 -1586.... 2.034886
#> 5 35.005592 LINESTRING (1285.372 -1549.... 2.002752
#> 6 69.541687 LINESTRING (1317.357 -1535.... 2.052529
#> 7 37.176987 LINESTRING (1336.921 -1602.... 2.049290
#> 8 35.278736 LINESTRING (1347.381 -1638.... 2.035002
#> 9 34.014023 LINESTRING (1357.306 -1672.... 2.948040
#> 10 9.775865 LINESTRING (1366.875 -1704.... 4.000000
#> Axial Line Ref Data Map Ref Segment Length T1024 Choice
#> 1 -1 0 65.799698 203
#> 2 -1 1 77.203362 484
#> 3 -1 2 90.154808 1406
#> 4 -1 3 91.088219 674
#> 5 -1 4 35.005592 497
#> 6 -1 5 69.541687 526
#> 7 -1 6 37.176987 767
#> 8 -1 7 35.278736 1348
#> 9 -1 8 34.014023 2059
#> 10 -1 9 9.775865 3136
#> T1024 Choice R100.00 metric T1024 Choice [Segment Length Wgt]
#> 1 2 659726.2
#> 2 0 997757.4
#> 3 0 2753404.2
#> 4 0 1370659.9
#> 5 2 910519.9
#> 6 0 974137.1
#> 7 2 1566921.5
#> 8 7 2342901.8
#> 9 18 3151169.5
#> 10 19 3774213.8
#> T1024 Choice [Segment Length Wgt] R100.00 metric T1024 Integration
#> 1 23681.04 87.44378
#> 2 16837.18 88.57600
#> 3 23477.67 90.19110
#> 4 20490.54 91.37754
#> 5 12713.72 91.42333
#> 6 18764.73 106.23274
#> 7 19753.70 106.20918
#> 8 19874.78 106.32710
#> 9 25365.45 106.71213
#> 10 32525.98 107.06703
#> T1024 Integration R100.00 metric T1024 Integration [Segment Length Wgt]
#> 1 9.230036 3224.680
#> 2 11.808656 3262.657
#> 3 12.764543 3379.409
#> 4 12.047059 3426.279
#> 5 7.984406 3428.560
#> 6 8.870068 3696.910
#> 7 15.463087 3693.893
#> 8 23.844761 3697.772
#> 9 23.322910 3714.063
#> 10 21.867201 3726.309
#> T1024 Integration [Segment Length Wgt] R100.00 metric T1024 Node Count
#> 1 396.2036 173
#> 2 1144.3008 173
#> 3 1431.5309 173
#> 4 995.1865 173
#> 5 494.8211 173
#> 6 485.0021 173
#> 7 711.6516 173
#> 8 912.5288 173
#> 9 836.5922 173
#> 10 819.1635 173
#> T1024 Node Count R100.00 metric T1024 Total Depth
#> 1 11 342.2656
#> 2 9 337.8906
#> 3 6 331.8398
#> 4 6 327.5312
#> 5 4 327.3672
#> 6 6 281.7305
#> 7 9 281.7930
#> 8 12 281.4805
#> 9 13 280.4648
#> 10 16 279.5352
#> T1024 Total Depth R100.00 metric T1024 Total Depth [Segment Length Wgt]
#> 1 13.109375 10672.612
#> 2 6.859375 10548.384
#> 3 2.820312 10183.959
#> 4 2.988281 10044.646
#> 5 2.003906 10037.964
#> 6 4.058594 9309.332
#> 7 5.238281 9316.935
#> 8 6.039062 9307.161
#> 9 7.246094 9266.337
#> 10 11.707031 9235.884
#> T1024 Total Depth [Segment Length Wgt] R100.00 metric
#> 1 424.32428
#> 2 91.94441
#> 3 85.85162
#> 4 100.36493
#> 5 112.90747
#> 6 237.47540
#> 7 274.22757
#> 8 284.32355
#> 9 322.21109
#> 10 440.65012
#> T1024 Total Segment Length T1024 Total Segment Length R100.00 metric
#> 1 5866.495 410.0229
#> 2 5866.495 324.3641
#> 3 5866.495 350.5699
#> 4 5866.495 316.0409
#> 5 5866.495 236.3662
#> 6 5866.495 339.3760
#> 7 5866.495 441.7629
#> 8 5866.495 509.3657
#> 9 5866.495 519.1910
#> 10 5866.495 600.8032