Results 51 to 60 of about 1,112 (156)
From Frazier-Jawerth characterizations of Besov spaces to Wavelets and Decomposition spaces
, 2016 This article describes how the ideas promoted by the fundamental papers published by M. Frazier and B. Jawerth in the eighties have influenced subsequent developments related to the theory of atomic decompositions and Banach frames for function spaces ...
Feichtinger, Hans Georg +1 more
core +1 more source
Shearlets on Bounded Domains [PDF]
, 2011 Shearlet systems have so far been only considered as a means to analyze $L^2$-functions defined on $\R^2$, which exhibit curvilinear singularities. However, in applications such as image processing or numerical solvers of partial differential equations the function to be analyzed or efficiently encoded is typically defined on a non-rectangular shaped ...
Kutyniok, Gitta, Lim, Wang-Q
openaire +2 more sources
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 +3 more
wiley +1 more source
Deep Convolutional Neural Networks Based on Semi-Discrete Frames
, 2015 Deep convolutional neural networks have led to breakthrough results in practical feature extraction applications. The mathematical analysis of these networks was pioneered by Mallat, 2012.
Bölcskei, Helmut, Wiatowski, Thomas
core +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
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 +5 more
wiley +1 more source
Shearlet-based detection of flame fronts [PDF]
Experiments in Fluids, 2016 Identifying and characterizing flame fronts is the most common task in the computer-assisted analysis of data obtained from imaging techniques such as planar laser-induced fluorescence (PLIF), laser Rayleigh scattering (LRS), or particle imaging velocimetry (PIV).
Rafael Reisenhofer +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 +11 more
wiley +1 more source
IET Image Processing, Volume 18, Issue 8, Page 2114-2125, 19 June 2024.This paper introduces a novel infrared and visible image fusion network to address the limitations of auto‐encoder fusion networks. In the designed network, the encoder employs a multi‐branch cascade structure with convolution kernels of different sizes to extract multi‐scale features, and the fusion layer incorporates a non‐local attention module ...
Jing Xu, Zhenjin Liu, Ming Fang
wiley +1 more source
Compactly Supported Shearlets [PDF]
, 2011 24 pages, 7 figures, Conference Proceeding: Approximation Theory XIII (San Antonio, TX, 2010), Springer (to appear)
Kutyniok, Gitta +2 more
openaire +2 more sources