Table I. Processing times and summary statistics for the three leaves depicted in Figure 3.
Whole-leaf statistics are denoted in rows 4 to 15. Areole summary statistics are given in rows 15 to 23, and edge summary statistics are given in rows 26 to 30. Calculation times are reported for a server with a 1.86-GHz processor with 16 GB of RAM and for a laptop with a 998-MHz processor with 2 GB of RAM, respectively. These represent the time it took to return statistics after the leaf image had been thresholded and cleaned. Note that as would be expected, many statistics are correlated with each other; for example, mean areole area and mean edge length are largest in K. africana and smallest in C. caudata, with R. angustifolia intermediate.
Statistics for the Three Leaves Depicted in Figure 3 | |||
Family: | Fagaceae | Euphorbiaceae | Apocynaceae |
Species: | C. caudata | R. angustifolia | K. africana |
Whole-leaf statistics | |||
Time to calculate (s) | 66/196 | 58/190 | 84/264 |
Leaf area (mm2) | 1,723.02 | 2,065.69 | 3,219.07 |
Leaf perimeter (mm) | 228.99 | 220.35 | 230.54 |
No. of nodes | 17,465 | 16,334 | 18,099 |
No. of edges | 25,424 | 24,703 | 29,261 |
Edges/node | 1.46 | 1.51 | 1.62 |
No. of areoles | 7,243 | 5,582 | 1,989 |
Total network length (mm) | 7,410.31 | 7,966.50 | 9,992.85 |
Vein density (mm/mm2) | 4.30 | 3.86 | 3.10 |
Total network 2D area (mm2) | 747.71 | 808.89 | 1,230.68 |
Areoles/area | 4.20 | 2.70 | 0.62 |
Edges/area | 14.76 | 11.96 | 9.09 |
Network area/area | 0.43 | 0.39 | 0.38 |
Areole statistics | |||
Time to calculate (s) | 38/57 | 32/44 | 19/26 |
Mean area (mm2) | 0.1294 | 0.2168 | 0.9639 |
Mean convex area (mm2) | 0.1578 | 0.2712 | 1.4787 |
Mean eccentricity | 0.7580 | 0.7765 | 0.7509 |
Mean solidity | 0.8826 | 0.8627 | 0.7621 |
Mean perimeter (mm) | 1.5155 | 2.1768 | 7.2206 |
Mean equiv diameter (mm) | 0.3839 | 0.4760 | 0.9354 |
Mean major axis (mm) | 0.5622 | 0.7153 | 1.5589 |
Mean minor axis (mm) | 0.3184 | 0.3994 | 0.8773 |
Mean distance (mm) | 0.0656 | 0.0691 | 0.0764 |
Edge statistics | |||
Mean length (mm) | 0.2028 | 0.2315 | 0.2442 |
Mean width (mm) | 0.1244 | 0.1294 | 0.1365 |
Mean area (mm2) | 0.0287 | 0.0339 | 0.0415 |
Mean surface area (mm2) | 0.0902 | 0.1064 | 0.1305 |
Mean volume (mm3) | 0.0042 | 0.0067 | 0.0122 |