# Face Recognition Using the Eigenface Algorithm

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

There are many situations when we need to extract some information from a face database. With the assistance of the eigenface algorithm, we can identify a person from a photo not in the database.

Contributed by: Igor Mandric and Ion Andries (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

We have a face database of four people with photos of size 112×92 (10304 pixels). We represent each photo as a vector with 10304 elements to form a 10304×4 matrix . From each element of we subtract the mean value of the elements from the same row to get a matrix . The four eigenvectors of the matrix are calculated as are the coordinates of every "photo vector" in the basis formed by the eigenvectors.

Getting a set of 24 photos (six different photos of every person) we choose one of them, add some image effects if we want, and calculate its coordinates. It will correspond to one of the four photos we have with the minimum "distance" between them. So the given photo will be recognized or not.

## Permanent Citation

"Face Recognition Using the Eigenface Algorithm"

http://demonstrations.wolfram.com/FaceRecognitionUsingTheEigenfaceAlgorithm/

Wolfram Demonstrations Project

Published: March 7 2011