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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