Into the Shadows: Approximating Images by Orthogonal Projection

Kelly Delp and Sam Lloyd
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 515–518


We experimented with approximating images by projecting them onto the span of a relatively small set of matrices that correspond to images. By decomposing our images into 3 or 4 sub-images, we were able to obtain recognizable approximations in a subspace with dimension less than 10% of the original matrix size.