The approach of this paper is to apply the concepts of vector space and subspace to face recognition. The set of known faces with m × n pixels forms a subspace, called “face space”, of the “image space” containing all images with m × n pixels. This face space best defines the variation of the known faces.

In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix into a rotation, followed by a rescaling followed by another rotation.

This database consists of more than 13000 centered labeled face images of more than 5 thousands famous people, so we were able to pick several distinct photos for each person to train and validate SVD for face recognition on them.

SVD approach treats a set of known faces as vectors in a subspace, called “face space”, spanned by a small group of “base-faces” [3]. Recognition is performed by projecting a new image onto the face space, and then classifying the face by comparing its coordinates (position) in face space with the coordinates (positions) of known faces.

This paper implements a real-time system to recognize faces. The approach is essentially to apply the concepts of vector space and subspace to face recognition. The set of known faces with m × n pixels forms a subspace, called “face space”, of the...

Jul 13, 2023 · SVD is the “father” of Machine Learning techniques, it is used to decompose a matrix using its eigenvalues and eigenvectors to use in a linear system to predict a vector. Where A is the original...

Feb 22, 2021 · This is an overview of what is eigenface, how SVD helps to construct it, and how it can be applied in image processing and face recognition areas. As I mentioned, this is only the fundamental step towards industrial applications, and various algorithms for preprocessing images are being developed.

Dec 6, 2018 · svd_faces, a MATLAB library which applies singular value decomposition (SVD) analysis to a set of images. The computer code and data files described and made available on this web page are distributed under the GNU LGPL …

Jan 6, 2018 · In this article, a few problems will be discussed that are related to face reconstruction and rudimentary face detection using eigenfaces (we are not going to discuss about more sophisticated face detection algorithms such as Voila-Jones or DeepFace).

This project demonstrates the classical Eigenfaces approach for face recognition using Singular Value Decomposition (SVD). The pipeline includes preprocessing, visualization, dimensionality reduction via PCA, face reconstruction, and classification based …