Image Compression via the Singular Value Decomposition

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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 (March 2011)
Open content licensed under CC BY-NC-SA
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"Image Compression via the Singular Value Decomposition"
http://demonstrations.wolfram.com/ImageCompressionViaTheSingularValueDecomposition/
Wolfram Demonstrations Project
Published: March 7 2011