Fast finite shearlet transform
In recent years it has turned out that shearlets have the potential to retrieve directional
information so that they became interesting for many applications. Moreover the continuous …
information so that they became interesting for many applications. Moreover the continuous …
Modern regularization methods for inverse problems
Regularization methods are a key tool in the solution of inverse problems. They are used to
introduce prior knowledge and allow a robust approximation of ill-posed (pseudo-) inverses …
introduce prior knowledge and allow a robust approximation of ill-posed (pseudo-) inverses …
Learning the invisible: A hybrid deep learning-shearlet framework for limited angle computed tomography
The high complexity of various inverse problems poses a significant challenge to model-
based reconstruction schemes, which in such situations often reach their limits. At the same …
based reconstruction schemes, which in such situations often reach their limits. At the same …
Introduction to shearlets
G Kutyniok, D Labate - Shearlets: Multiscale analysis for multivariate data, 2012 - Springer
Shearlets emerged in recent years among the most successful frameworks for the efficient
representation of multidimensional data. Indeed, after it was recognized that traditional …
representation of multidimensional data. Indeed, after it was recognized that traditional …
Sparse regularization in limited angle tomography
J Frikel - Applied and Computational Harmonic Analysis, 2013 - Elsevier
We investigate the reconstruction problem of limited angle tomography. Such problems arise
naturally in applications like digital breast tomosynthesis, dental tomography, electron …
naturally in applications like digital breast tomosynthesis, dental tomography, electron …
The construction of smooth Parseval frames of shearlets
K Guo, D Labate - Mathematical Modelling of Natural Phenomena, 2013 - cambridge.org
The shearlet representation has gained increasing recognition in recent years as a
framework for the efficient representation of multidimensional data. This representation …
framework for the efficient representation of multidimensional data. This representation …
3-D discrete shearlet transform and video processing
In this paper, we introduce a digital implementation of the 3-D shearlet transform and
illustrate its application to problems of video denoising and enhancement. The shearlet …
illustrate its application to problems of video denoising and enhancement. The shearlet …
Iterative CT reconstruction using shearlet-based regularization
B Vandeghinste, B Goossens… - … on Nuclear Science, 2013 - ieeexplore.ieee.org
Total variation (TV) methods have been proposed to improve the image quality in count-
reduced images, by reducing the variation between neighboring pixels. Although very easy …
reduced images, by reducing the variation between neighboring pixels. Although very easy …
Parabolic molecules
P Grohs, G Kutyniok - Foundations of Computational Mathematics, 2014 - Springer
Anisotropic decompositions using representation systems based on parabolic scaling such
as curvelets or shearlets have recently attracted significant attention due to the fact that they …
as curvelets or shearlets have recently attracted significant attention due to the fact that they …
Discrete shearlet transform on GPU with applications in anomaly detection and denoising
Shearlets have emerged in recent years as one of the most successful methods for the
multiscale analysis of multidimensional signals. Unlike wavelets, shearlets form a pyramid of …
multiscale analysis of multidimensional signals. Unlike wavelets, shearlets form a pyramid of …