30 citations · 122 across the 25 of their papers we have counts for
6 papers · 1 filter
Adaptive directional Haar tight framelets on bounded domains for digraph signal representations
Yuchen Xiao, Xiaosheng Zhuang
Based on hierarchical partitions, we provide the construction of Haar-type tight framelets on any compact set . In particular, on the unit block ,…
Explicit Bernstein type inequalities for wavelet coefficients in
Susanna Spektor, Xiaosheng Zhuang
In this paper, we investigate the wavelet coefficients for function spaces using an important quantit…
Gabor Shearlets
Bernhard G. Bodmann, Gitta Kutyniok, Xiaosheng Zhuang
In this paper, we introduce Gabor shearlets, a variant of shearlet systems, which are based on a different group representation than previous shearlet constructions: they combine e…
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…
Matrix Extension with Symmetry and Construction of Biorthogonal Multiwavelets
Xiaosheng Zhuang
Let $(\pP,\wt\pP)$ be a pair of matrices of Laurent polynomials with symmetry such that $\pP(z) \wt\pP^*(z)=I_\mrow$ for all $z\in \CC \bs \{0\}$ and both $\pP$ and $\…
Construction of Symmetric Complex Tight wavelet Frames from Pseudo Splines via Matrix Extension with Symmetry
Xiaosheng Zhuang
Construction of Symmetric Complex Tight wavelet Frames from Pseudo Splines via Matrix Extension with Symmetry.