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Table 2 Optimal values of alpha derived from shape-fitting protocol, compared to 3D dissection index values, fractal dimensions and Dirichlet normal energies

From: Alpha shapes: determining 3D shape complexity across morphologically diverse structures

Family Taxa Optimal refinement coefficient Dissection index (2√SA/3√V) Fractal dimension Dirichlet normal energy
Mustelidae Mustela itatsi 1.67 3.54 2.17 1241
Mustelidae Mustela kathiah 2.04 3.57 2.16 1427
Mustelidae Mustela lutreola 2.36 3.3 2.24 1330
Mustelidae Mustela nigripes 2.18 3.3 2.26 1384
Ursidae Melursus ursinus 20.9 3.09 2.24 656
Ursidae Tremarctos ornatus 10.7 3.12 2.20 578
Ursidae Ursus arctos 32.5 3.29 2.11 826
Ursidae Ursus maritimus 36.2 3.37 2.10 718
Canidae Canis aureus 2.87 3.87 2.13 1242
Canidae Canis lupus 3.18 3.81 2.20 1389
Canidae Canis mesomelas 3.59 4.1 2.12 1460
Canidae Chrysocyon brachyurus 2.71 3.9 2.11 1714
  1. SA, surface area; V, volume