Wolfram Demonstrations Project

This demonstrates how an image can be compressed via the singular value decomposition (SVD). The original image is first represented as a matrix

with the intensity of each pixel assigned a numeric value. Then the singular value decomposition is performed and a low rank approximation of

is formed via

, where

is the

singular value and

and

are the

left and right singular vectors, respectively.

Contributed by: Chris Maes

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Image Compression via the Singular Value Decomposition