30 citations · 122 across the 25 of their papers we have counts for
7 papers · 1 filter
Nearly tight framelet systems from nested Marcinkiewicz--Zygmund measures on compact Riemannian manifolds
Hao-Ning Wu, Xiaosheng Zhuang
Tight framelet systems on manifolds provide exact energy preservation and one-pass reconstruction, but their standard semi-discretization relies on polynomial-exact quadrature rule…
Spherical framelets from spherical designs
Yuchen Xiao, Xiaosheng Zhuang
In this paper, we investigate in detail the structures of the variational characterization of the spherical -design, its gradient , and its Hessian $\m…
Linear multiscale transforms based on even-reversible subdivision operators
Nira Dyn, Xiaosheng Zhuang
Multiscale transforms for real-valued data, based on interpolatory subdivision operators have been studied in recent year. They are easy to define, and can be extended to other typ…
Smooth affine shear tight frames with MRA structure
Bin Han, Xiaosheng Zhuang
Finding efficient representations is one of the most challenging and heavily sought problems in mathematics. Representation using shearlets recently receives a lot of attention due…
Digital Shearlet Transform
Gitta Kutyniok, Wang-Q Lim, Xiaosheng Zhuang
Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily…
Digital Shearlet Transforms
G. Kutyniok, W. -Q Lim, X. Zhuang
Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily…