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Table 1 Shape descriptors for each of the 12 curvature subsets

From: Skin injury model classification based on shape vector analysis

Descriptors d i

Description

{d 0,…,d 39}

Frequencies of Euclidean distance to other vertices contained in the subset S n with n∈{0,…,11} , counted within boundaries of 40 bins.

{d 40}

Ratio of maximum and mean distance between vertices [28, 29].

{d 41}

Ratio of maximum and median distance between vertices [28, 29].

{d 42}

Volume of the convex hull for the vertices set belonging to each curvature domain [30].

{d 43}

Surface of the convex hull for the vertices set belonging to each curvature domain [30].

{d 44}

Ratio of maximum frequency to mean frequency [28, 29].

{d 45}

Total number of vertices [30].

{d 46,…,d 55}

Number of vertices within each sphere of a series of differently sized 10 concentric spheres around the origin [31, 32].

{d 56,…,d 95}

Fourier transform of the frequency distribution in the curvature histogram [28].

{d 96,…,d 105}

Fourier transform of the point distribution in the spheres series [28, 31, 32].

{d 106}

Number of hyperbolic points [33].

  1. Shape descriptors that are determined for each of the 12 curvature subsets (see Table 2 for curvature subset details).