Into the Shadows: Approximating Images by Orthogonal Projection

Year: 2015 Authors: Kelly Delp; Sam Lloyd

Core claim

Decomposing images into a few sub-images yields effective orthogonal-projection approximations in low-dimensional subspaces.

Topics

orthogonal projection, image approximation, linear algebra, subspace visualization

Domains

linear algebra, inner product spaces, Gram-Schmidt orthogonalization, orthogonal decomposition, image-based art, visualization, digital media, photographic composition

Methods

projection onto span, Gram-Schmidt, random matrix basis, window decomposition

Media

black-and-white images, 100 x 100 matrices, photographs, Mathematica

Source status

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