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Table 2 Facial geometric indicators(FGI) of Buddha

From: Ancient thangka Buddha face recognition based on the Dlib machine learning library and comparison with secular aesthetics

FGI

Code

Formula

Legend

Eye height

A

\(\text{S}= \frac{{d41}_{y}-{d37}_{y}+{d40}_{y}-{d38}_{y}+{d47}_{y}-{d43}_{y}+{d46}_{y}-{d44}_{y}}{4}\)

Eyebrow to upper eyelid

B

\(\text{S}= \frac{{d37}_{y}-{d17}_{y}+{d38}_{y}-{d21}_{y}+{d43}_{y}-{d22}_{y}+{d44}_{y}-{d26}_{y}}{4}\)

Eye to nose bottom

C

\(2\text{S}= \frac{2{(d31}_{y}+{d35}_{y})-{(d40}_{y}+{d41}_{y}+{d46}_{y}+{d47}_{y})}{4}\)

Nose bottom to chin

D

\(4\text{S}= \frac{({d6}_{y}+{d10}_{y})-{(d31}_{y}+{d35}_{y})}{2}\)

Right cheek width

E

\(6\text{S}= {d16}_{x}-{d8}_{x}\)

Left cheek width

F

\(6\text{S}= {d8}_{x}-{d0}_{x}\)

Right chin width

G

\(2\text{S}= {d10}_{x}-{d8}_{x}\)

Left chin width

H

\(2\text{S}= {d8}_{x}-{d6}_{x}\)

Left eyebrow width

I

\({d21}_{x}-{d17}_{x}\)

Right eyebrow width

J

\({d26}_{x}-{d22}_{x}\)

Left eye width

K

\({d39}_{x}-{d36}_{x}\)

Right eye width

L

\({d45}_{x}-{d42}_{x}\)

Left mouth width

M

\({d51}_{x}-{d48}_{x}\)

Right mouth width

N

\({d54}_{x}-{d51}_{x}\)

Left nose width

O

\({d33}_{x}-{d31}_{x}\)

Right nose width

P

\({d35}_{x}-{d33}_{x}\)

  1. “x” and “y” represent the horizontal and vertical coordinates of a feature point, and “dn” represents the nth feature point on a face