Facial Anthropometry Calculator

Points are placed on the photo, then the head is levelled so the pupils sit on a horizontal line. \(x\) is horizontal and \(y\) vertical in that levelled photo.Canthal tilt, per eye (inner corner \(en\), outer corner \(ex\)): $$ \theta = \arctan\frac{y_{en} – y_{ex}}{\lvert x_{ex} – x_{en} \rvert} $$Facial thirds, from hairline \(tr\), brow centre \(g\), nose base \(sn\) and chin bottom \(me\): $$ \text{Upper} : \text{Middle} : \text{Lower} = (g – tr) : (sn – g) : (me – sn) $$Face width to height ratio (cheekbones \(zy\), top of upper lip \(ls\)): $$ \text{fWHR} = \frac{\lvert x_{zy_R} – x_{zy_L} \rvert}{\lvert y_{ls} – y_{g} \rvert} $$Midface ratio, jaw to cheekbone width and facial index: $$ \frac{\text{pupil distance}}{\text{pupils to upper lip}} \qquad \frac{go_L\,go_R}{zy_L\,zy_R} \qquad \frac{n\,me}{zy_L\,zy_R} \times 100 $$Symmetry, for each paired point, from its distance \(d\) to the nose-bridge-to-chin midline: $$ \text{Asymmetry} = \frac{\lvert d_R – d_L \rvert}{d_R + d_L} \times 100 $$Profile angles are measured between three points: gonial angle at the jaw corner (ear notch, jaw corner, chin bottom), nasolabial angle at the nose base, nasofrontal angle at the nose bridge. Facial convexity is the bend at the nose base away from a straight brow-to-chin line, positive when convex.Sizes in millimeters use your pupil distance as the scale: $$ \text{mm per pixel} = \frac{\text{IPD (mm)}}{\text{pupil distance (px)}} $$Skin tone from the average cheek colour in CIELAB: $$ \text{ITA}^\circ = \arctan\frac{L^* – 50}{b^*} \times \frac{180}{\pi} $$