Compressed sensing for quaternionic signals

We study the problem of compressed sensing for quaternionic Fourier matrices as arising in color representation of images. We will show that such matrices are allowing a sparse reconstruction by means of an l1-minimization with high probability. Examples of sparse sampling of color images are provid...

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Detalhes bibliográficos
Autor principal: Kähler, Uwe (author)
Outros Autores: Hartmann, Stefan (author), Gomes, Narciso (author)
Formato: article
Idioma:eng
Publicado em: 2017
Assuntos:
Texto completo:http://hdl.handle.net/10773/16755
País:Portugal
Oai:oai:ria.ua.pt:10773/16755
Descrição
Resumo:We study the problem of compressed sensing for quaternionic Fourier matrices as arising in color representation of images. We will show that such matrices are allowing a sparse reconstruction by means of an l1-minimization with high probability. Examples of sparse sampling of color images are provided.