Painting your face with invisible dots
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Turning your nose into numbers
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The neural network that learns you
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Outsmarting the tricksters
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YOUR GOAL
Master of Your face as a password
marcus Apple Face ID Mathematics
Invisible beams trace the shape of your face, Turning your smile into a secure digital space.

marcus Math helps the system recognize your face even when tilted or angled differently.
Facial geometry: Your face has about eighty landmarks, and the distance between your pupils remains mathematically constant throughout adulthood.

marcus Complex facial features are compressed into a single string of numbers called a vector.
What is the compressed string of numbers that represents your facial features called?
Which mathematical operation allows the system to recognize your face when you tilt your head?
Why does the system convert your 3D facial mesh into a vector embedding instead of keeping the raw 3D file?
How many numbers typically make up the vector embedding used in facial recognition systems?
What mathematical formula is used to measure the straight-line distance between two facial vectors?
What mathematical tool is used to represent the 3D coordinates of your facial features?
In linear algebra, what does transforming a 3D facial mesh allow the computer to do?


