Results 61 to 70 of about 4,542 (232)

Calderón–Zygmund theory on some Lie groups of exponential growth

Mathematische Nachrichten, Volume 298, Issue 1, Page 113-141, January 2025.
Abstract Let G=N⋊A$G = N \rtimes A$, where N$N$ is a stratified Lie group and A=R+$A= \mathbb {R}_+$ acts on N$N$ via automorphic dilations. We prove that the group G$G$ has the Calderón–Zygmund property, in the sense of Hebisch and Steger, with respect to a family of flow measures and metrics.
Filippo De Mari, Matteo Levi, Matteo Monti, Maria Vallarino   +3 more
wiley   +1 more source

A multi‐path residual network for image denoising based on edge prior information

IET Image Processing, Volume 18, Issue 14, Page 4514-4530, 11 December 2024.
To overcome the problem of the smoothness and loss of high‐frequency details at edges in image denoising, a multi‐path residual network using edge prior information is proposed. Firstly, the edge is recovered from the noisy image via the edge extraction module.
Xuefei Bai, Yongsong Wan, Weiming Wang
wiley   +1 more source

Multivariate $\alpha$-molecules

, 2016
The suboptimal performance of wavelets with regard to the approximation of multivariate data gave rise to new representation systems, specifically designed for data with anisotropic features.
Flinth, Axel, Schäfer, Martin
core   +1 more source

A self‐supervised scheme for ground roll suppression

Geophysical Prospecting, Volume 72, Issue 7, Page 2580-2598, September 2024.
Abstract In recent years, self‐supervised procedures have advanced the field of seismic noise attenuation, due to not requiring a massive amount of clean labelled data in the training stage, an unobtainable requirement for seismic data. However, current self‐supervised methods usually suppress simple noise types, such as random and trace‐wise noise ...
Sixiu Liu, Claire Birnie, Andrey Bakulin, Ali Dawood, Ilya Silvestrov, Tariq Alkhalifah   +5 more
wiley   +1 more source

An Efficient Skin Cancer Diagnostic System Using Bendlet Transform and Support Vector Machine

Anais da Academia Brasileira de Ciências
Skin is the outermost and largest organ of the human body that protects us from the external agents. Among the various types of diseases affecting the skin, melanoma (skin cancer) is the most dangerous and deadliest disease.
POOVIZHI S, GANESH BABU TR
doaj   +1 more source

Shearlet-based compressed sensing for fast 3D cardiac MR imaging using iterative reweighting

, 2017
High-resolution three-dimensional (3D) cardiovascular magnetic resonance (CMR) is a valuable medical imaging technique, but its widespread application in clinical practice is hampered by long acquisition times. Here we present a novel compressed sensing (
Funk, Stephanie, Kolbitsch, Christoph, Kutyniok, Gitta, Ma, Jackie, März, Maximilian, Schaeffter, Tobias, Schulz-Menger, Jeanette   +6 more
core   +1 more source

Image Separation Using Wavelets and Shearlets [PDF]

, 2012
In this paper, we present an image separation method for separating images into point- and curvelike parts by employing a combined dictionary consisting of wavelets and compactly supported shearlets utilizing the fact that they sparsely represent point and curvilinear singularities, respectively. Our methodology is based on the very recently introduced
Gitta Kutyniok, Wang-Q Lim
openaire   +3 more sources

Shearlet Coorbit Spaces: Compactly Supported Analyzing Shearlets, Traces and Embeddings [PDF]

Journal of Fourier Analysis and Applications, 2011
We show that compactly supported functions with sufficient smoothness and enough vanishing moments can serve as analyzing vectors for shearlet coorbit spaces. We use this approach to prove embedding theorems for subspaces of shearlet coorbit spaces resembling shearlets on the cone into Besov spaces. Furthermore, we show embedding relations of traces of
Gerd Teschke, Gabriele Steidl, Stephan Dahlke   +2 more
openaire   +2 more sources

In vivo T2 measurements of the fetal brain using single‐shot fast spin echo sequences

Magnetic Resonance in Medicine, Volume 92, Issue 2, Page 715-729, August 2024.
Abstract Purpose We propose a quantitative framework for motion‐corrected T2 fetal brain measurements in vivo and validate the single‐shot fast spin echo (SS‐FSE) sequence to perform these measurements. Methods Stacks of two‐dimensional SS‐FSE slices are acquired with different echo times (TE) and motion‐corrected with slice‐to‐volume reconstruction ...
Suryava Bhattacharya, Anthony N. Price, Alena Uus, Helena S. Sousa, Massimo Marenzana, Kathleen Colford, Peter Murkin, Maggie Lee, Lucilio Cordero‐Grande, Rui Pedro A. G. Teixeira, Shaihan J. Malik, Maria Deprez   +11 more
wiley   +1 more source

Continuity properties of the shearlet transform and the shearlet synthesis operator on the Lizorkin type spaces [PDF]

arXiv, 2020
We develop a distributional framework for the shearlet transform $\mathcal{S}_{\psi}\colon\mathcal{S}_0(\mathbb{R}^2)\to\mathcal{S}(\mathbb{S})$ and the shearlet synthesis operator $\mathcal{S}^t_{\psi}\colon\mathcal{S}(\mathbb{S})\to\mathcal{S}_0(\mathbb{R}^2)$, where $\mathcal{S}_0(\mathbb{R}^2)$ is the Lizorkin test function space and $\mathcal{S ...
arxiv