Skip to main content
. Author manuscript; available in PMC: 2018 May 1.
Published in final edited form as: Med Phys. 2017 Apr 13;44(5):1846–1856. doi: 10.1002/mp.12214

Table 2.

List of image features used in this study

Histogram descriptors Definition*
F1. Average region gray value [HU] μ (Gray value in V)
F2. Region contrast [HU] F1 - μ (Gray value outside of V)
F3. Region gray value variation [HU] σ (Gray value in V)
F4. Margin gray value variation [HU] σ (Gray value in M)
Shape descriptors
F5. Irregularity 2.2 × V1/3 / M1/2
F6. Compactness % of volume of V included in SP
F7. Ellipsoid axes min-to-max ratio Min to max ratio of semi-axes of the ellipsoid fitted to V
F8. Margin distance variation [mm] σ (distances from the center of V to the margin of V)
F9. Relative margin distance variation F8 / μ(distances from the center of V to the margin of V)
F10. Average gradient direction μ (gradient direction of each voxel in M)
F11. Margin volume [mm3] Σ (voxels in M)
Margin descriptors
F12. Average radial gradient [HU] μ (radial gradient of each voxel in M)
F13. Radial gradient index (RGI) F12 / μ (magnitude of image gradient of each voxel in M)
F14. Margin strength 1 μ (magnitude of image gradient of each voxel in M) / F2
F15. Margin strength 2 σ (magnitude of image gradient of each voxel in M) / F2
F16. Radial gradient variation σ (radial gradient of each voxel in M)
Texture descriptors
F17. GLCM|Energy 3D version of 2D gray-level co-occurrence | Energy
F18. GLCM|Contrast 3D version of 2D gray-level co-occurrence | Contrast
F19. GLCM|Correlation 3D version of 2D gray-level co-occurrence | Correlation
F20. GLCM|Homogeneity 3D version of 2D gray-level co-occurrence | Homogeneity
Surface Curvature descriptors
F21. Total Curvature μ (|p1| + |p2| over S) / σ (|p1| + |p2| over S)
F22. Mean Curvature μ ( 0.5 × (p1 + p2) over S) / σ (0.5 × (p1 + p2) over S)
F23. Gaussian Curvature μ ( p1 × p2 over S ) / σ ( p1 × p2 over S )
*

V refers to the segmented lesion volume. M refers to the margin of the lesion volume. SP refers to the minimum sphere including V. S refers to the surface of V. p1 and p2 refer to the first and second principal component of S. μ and σ indicate mean and standard deviation.