Table 1 Definitions of 21 analyzed landmarks as reported earlier by Farkas [44] and extended to the study analysis

ex _{r / l}

Exocanthion _{right / left}

n

Nasion

en _{r / l}

Endocathion _{right / left}

prn

Pronasale

sbal _{r / l}

Subalare _{right / left}

sn

Subnasale

c’

Highest point of the columella

ls

Labiale superius

ch _{r / l}

Cheilion _{right / left}

nost_post _{r / l}

posterior border of nostril _{right / left}

nost_ant _{r / l}

anterior border of nostril _{right / left}

nost_lat _{r / l}

lateral border of nostril _{right / left}

nost_med _{r / l}

medial border of nostril _{right / left}