Table 3 Description of input features.

From: Estimating the phase volume fraction of multi-phase steel via unsupervised deep learning

 

Input feature

Symbol and description

1

Grain size

\({d}_{s}=2\times \sqrt{\frac{p\times {s}^{2}}{\pi }}\)

2

GAM

\(\mathrm{GAM}=\frac{{\sum }_{i}{KAM}_{i}}{p}\)

3

Std. of KAM

\({\sigma }_{KAM}, {KAM}_{(i,j)}=\frac{\sum {g}_{(i,j)}{g}_{(i+x,j+y)}^{-1}}{k}\)

4

GOS

\(\mathrm{GOS}=\frac{{\sum }_{i}{g}_{ave}{g}_{i}^{-1}}{p}\)

5

Solidity

\(S=\frac{{A}_{i}}{{A}_{c}}\)

6

Avg. of misorientations at the boundary

\({\mu }_{mis}\)

7

Aspect ratio

\(AR=\frac{w}{h}\)

8

Weighted avg. sharpness

\({\mu }_{sharp}=\frac{{\sum }_{i}{w}_{i}\times {sharpness}_{i}}{{\sum }_{i}{w}_{i}}, sharpness=\frac{D}{d}\)

9

Avg. band contrast in the grain

\({\mu }_{BC}=\frac{{I}_{max}-{I}_{min}}{{I}_{max}-{I}_{min}}\)

10

Std. of band contrast within the grain

\({\sigma }_{BC}\)

11

Area weighted avg. grain size of neighbor grains surrounding the current grain

\({\mu }_{GS}\)

12

Area weighted avg. GAM of neighbor grains surrounding the current grain

\({\mu }_{GAM}\)

13

Area weighted avg. std. of GAM of neighbor grains surrounding the current grain

\({\mu }_{\sigma GAM}\)

14

Area weighted avg. GOS of neighbor grains surrounding

\({\mu }_{GOS}\)

15

Area weighted avg. aspect ratio of neighbor grains surrounding

\({\mu }_{AR}\)

16

Area weighted avg. band contrast of neighbor grains surrounding

\({\mu }_{nBC}\)

17

Area weighted avg. std. of band contrast of neighbor grains surrounding

\({\mu }_{\sigma nBC}\)

18

Area weighted avg. solidity of neighbor grains surrounding

\({\mu }_{S}\)

19

Area weighted avg. sharpness of neighbor grains surrounding

\({\mu }_{nS}\)