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Iske, A.* ; Demaret, L.

Optimally sparse image approximation by adaptive linear splines over anisotropic triangulations.

In: Proceedings (International Conference on Sampling Theory and Applications, SampTA 2015, 25-29 May 2015, Washington, USA). 2015. 463-467
Anisotropic triangulations provide efficient methods for sparse image representations. In previous work, we have proposed a locally adaptive algorithm for sparse image approximation, adaptive thinning, which relies on linear splines over anisotropic Delaunay triangulations. In this contribution, we address theoretical and practical aspects concerning image approximation by linear splines over anisotropic conformal triangulations. Our discussion includes asymptotically optimal N-term approximations on relevant classes of target functions, such as horizon functions across α Hölder smooth boundaries and regular functions of Wα, p regularity, for α > 2/p-1. Moreover, we demonstrate the good performance of our adaptive thinning algorithm by numerical examples and comparisons.
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Publikationstyp Artikel: Konferenzbeitrag
ISBN 9781467373531
Konferenztitel International Conference on Sampling Theory and Applications, SampTA 2015
Konferzenzdatum 25-29 May 2015
Konferenzort Washington, USA
Konferenzband Proceedings
Quellenangaben Band: , Heft: , Seiten: 463-467 Artikelnummer: , Supplement: ,