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10 items by relevance
1 Preprint article

Shearlets and Optimally Sparse Approximations

Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q

optimally sparse approximations of this model class in 2D as well as 3D. Even more, in contrast to all other directional representation systems, a theory for compactly supported shearlet frames was derived which moreover also satisfy this optimality benchmark. This chapter shall serve as an introduction

Year: 2011

Language: Undetermined

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2 Book chapter

Shearlets and Optimally Sparse Approximations

Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q

Applied and Numerical Harmonic Analysis — 2012

Year: 2012

Language: Undetermined

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3 Book chapter

Shearlets and Optimally Sparse Approximations

Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q

Shearlets: Multiscale Analysis for Multivariate Data — 2012, pp. 145-198

optimally sparse approximations of this model class in 2D as well as 3D. Even more, in contrast to all other directional representation systems, a theory for compactly supported shearlet frames was derived which moreover also satisfy this optimality benchmark. This chapter shall serve as an introduction

Year: 2012

Language: English

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4 Journal article

Optimally sparse approximations of 3D functions by compactly supported shearlet frames

Kutyniok, Gitta; Lim, Wang-Q.; Lemvig, Jakob

S I a M Journal on Mathematical Analysis — 2012, Volume 44, Issue 4, pp. 2962-3017

We study efficient and reliable methods of capturing and sparsely representing anisotropic structures in 3D data. As a model class for multidimensional data with anisotropic features, we introduce generalized 3D cartoon-like images. This function class will have two smoothness parameters: one parameter β controlling classical smoothness and one parameter α controlling anisotropic smoothness. The class then consists of piecewise C β-smooth functions with discontinuities on a piecewise C α-smooth surface. We introduce a pyramid-adapted, hybrid shearlet system for the 3D setting and construct ...

Year: 2012

Language: English

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5 Preprint article

Optimally sparse approximations of 3D functions by compactly supported shearlet frames

Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q

We study efficient and reliable methods of capturing and sparsely representing anisotropic structures in 3D data. As a model class for multidimensional data with anisotropic features, we introduce generalized three-dimensional cartoon-like images. This function class will have two smoothness parameters: one parameter \beta controlling classical smoothness and one parameter \alpha controlling anisotropic smoothness. The class then consists of piecewise C^\beta-smooth functions with discontinuities on a piecewise C^\alpha-smooth surface. We introduce a pyramid-adapted, hybrid shearlet system ...

Year: 2012

Language: Undetermined

More...
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