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Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
Optimal N-term approximation by linear splines over anisotropic Delaunay triangulations.
Math. Comput. 84, 1241-1264 (2015)
Anisotropic triangulations provide efficient geometrical methods for sparse representations of bivariate functions from discrete data, in particular from image data. In previous work, we have proposed a locally adaptive method for efficient image approximation, called adaptive thinning, which relies on linear splines over anisotropic Delaunay triangulations. In this paper, we prove asymptotically optimal -term approximation rates for linear splines over anisotropic Delaunay triangulations, where our analysis applies to relevant classes of target functions: (a) piecewise linear horizon functions across -Hölder smooth boundaries, (b) functions of regularity, where , (c) piecewise regular horizon functions of regularity, where .
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Image Compression; Contourlet Transform; Wavelets; Representation
ISSN (print) / ISBN
0025-5718
e-ISSN
1088-6842
Zeitschrift
Mathematics of Computation
Quellenangaben
Band: 84,
Heft: 293,
Seiten: 1241-1264
Verlag
American Mathematical Society (AMS)
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)