Cartoon Approximation with $$\alpha $$ α -Curvelets
نویسندگان
چکیده
منابع مشابه
Cartoon Approximation with α-Curvelets
It is well-known that curvelets provide optimal approximations for so-called cartoon images whichare defined as piecewise C-functions, separated by a C singularity curve. In this paper, we considerthe more general case of piecewise C-functions, separated by a C singularity curve for β ∈ (1, 2].We first prove a benchmark result for the possibly achievable best N -term approximati...
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Let C(t) : I 7→ R be a simple closed unit-speed C curve in R with normal ~n(t). The curve C generates a distribution Γ which acts on vector fields ~v(x1, x2) : R 2 7→ R by line integration according to Γ(~v) = ∫ ~v(C(t)) · ~n(t)dt. We consider the problem of efficiently approximating such functionals. Suppose we have a vector basis or frame Φ = (~ φμ); then an m-term approximation to Γ can be f...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2015
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-015-9446-6