324 citations · 1.4k across the 135 of their papers we have counts for
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Parabolic Molecules
Philipp Grohs, Gitta Kutyniok
Anisotropic decompositions using representation systems based on parabolic scaling such as curvelets or shearlets have recently attracted significantly increased attention due to t…
Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis
Emily J. King, Gitta Kutyniok, Xiaosheng Zhuang
Recently, compressed sensing techniques in combination with both wavelet and directional representation systems have been very effectively applied to the problem of image inpaintin…
Clustered Sparsity and Separation of Cartoon and Texture
Gitta Kutyniok
Natural images are typically a composition of cartoon and texture structures. A medical image might, for instance, show a mixture of gray matter and the skull cap. One common task…
Geometric Separation by Single-Pass Alternating Thresholding
Gitta Kutyniok
Modern data is customarily of multimodal nature, and analysis tasks typically require separation into the single components. Although a highly ill-posed problem, the morphological…
Sparsity and spectral properties of dual frames
Felix Krahmer, Gitta Kutyniok, Jakob Lemvig
We study sparsity and spectral properties of dual frames of a given finite frame. We show that any finite frame has a dual with no more than non-vanishing entries, where …
Scalable Frames
Gitta Kutyniok, Kasso A. Okoudjou, Friedrich Philipp +1
Tight frames can be characterized as those frames which possess optimal numerical stability properties. In this paper, we consider the question of modifying a general frame to gene…
Theory and Applications of Compressed Sensing
Gitta Kutyniok
Compressed sensing is a novel research area, which was introduced in 2006, and since then has already become a key concept in various areas of applied mathematics, computer science…