Technical Note: Harmonic analysis applied to MR image distortion fields specific to arbitrarily shaped volumes
Sign Up to like & getrecommendations! Published in 2018 at "Medical Physics"
DOI: 10.1002/mp.13000
Abstract: PURPOSE Magnetic resonance imaging is expected to play a more important role in radiation therapy given the recent developments in MR-guided technologies. MR images need to consistently show high spatial accuracy to facilitate RT-specific tasks… read more here.
Keywords: image; analysis; harmonic analysis; distortion ... See more keywords
Identification of evolving interfacial waves by spatial harmonic analysis
Sign Up to like & getrecommendations! Published in 2017 at "Environmental Fluid Mechanics"
DOI: 10.1007/s10652-016-9506-8
Abstract: This paper is concerned with an analysis of image processing data to identify interfacial waves at the interface between two fluid layers in a laboratory flume. The interfacial waves are excited through a non-linear resonant… read more here.
Keywords: identification evolving; evolving interfacial; analysis; harmonic analysis ... See more keywords
Harmonic analysis for rank-1 randomised Horn problems
Sign Up to like & getrecommendations! Published in 2021 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-021-01429-7
Abstract: The randomised Horn problem, in both its additive and multiplicative version, has recently drawn increasing interest. Especially, closed analytical results have been found for the rank-1 perturbation of sums of Hermitian matrices and products of… read more here.
Keywords: harmonic analysis; rank randomised; horn problems; analysis rank ... See more keywords
Subdyadic square functions and applications to weighted harmonic analysis
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2016.11.018
Abstract: Abstract Through the study of novel variants of the classical Littlewood–Paley–Stein g -functions, we obtain pointwise estimates for broad classes of highly-singular Fourier multipliers on R d satisfying regularity hypotheses adapted to fine (subdyadic) scales.… read more here.
Keywords: subdyadic square; harmonic analysis; functions applications; weighted harmonic ... See more keywords
Impulse denoising based on noise accumulation and harmonic analysis techniques
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DOI: 10.1016/j.ijleo.2020.166163
Abstract: Abstract In the article, we propose a robust impulse denoising method based on noise accumulation and harmonic analysis techniques (NAHAT filter). Noise accumulation technique is used to improve the ability to detect noisy pixels, and… read more here.
Keywords: based noise; accumulation harmonic; harmonic analysis; impulse denoising ... See more keywords
Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125061
Abstract: We prove sharp power-weighted $L^p$, weak type and restricted weak type inequalities for the heat semigroup maximal operator and Riesz transforms associated with the Bessel operator $B_{\nu}$ in the exotic range of the parameter $-\infty… read more here.
Keywords: properties fundamental; fundamental harmonic; analysis operators; harmonic analysis ... See more keywords
Harmonic analysis of surface instability patterns on colloidal particles.
Sign Up to like & getrecommendations! Published in 2018 at "Soft matter"
DOI: 10.1039/c8sm00383a
Abstract: Wrinkling of colloidal particles alter a wide variety of interfacial properties but quantitative topographical descriptions have been explored experimentally to a very limited extent. In this study, we present a harmonic analysis of surface wrinkles… read more here.
Keywords: analysis surface; harmonic analysis; surface; instability patterns ... See more keywords
Symplectic and Lagrangian polar duality; applications to quantum harmonic analysis
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0192334
Abstract: Polar duality is a well-known concept from convex geometry and analysis. In the present paper we study a symplectically covariant versions of polar duality, having in mind their applications to quantum harmonic analysis. It makes… read more here.
Keywords: applications quantum; polar duality; quantum harmonic; harmonic analysis ... See more keywords
Magneto-optical investigation of scattering by superparamagnetic nanoparticles using multi-harmonic analysis
Sign Up to like & getrecommendations! Published in 2021 at "AIP Advances"
DOI: 10.1063/9.0000092
Abstract: Magnetic nanoparticles (MNPs) are widely used in imaging, magnetic hyperthermia, drug delivery, etc. We present a continuation of our study of dilute aqueous suspensions of magnetite nanoparticles using an AC Faraday rotation setup. Our previous… read more here.
Keywords: field; analysis; harmonic analysis; nanoparticles using ... See more keywords
Harmonic analysis associated with the linear canonical Fourier–Jacobi transform
Sign Up to like & getrecommendations! Published in 2024 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2024.2426183
Abstract: The main objective of this paper is to develop a new harmonic analysis related to a Fourier–Jacobi type operator $ \Delta _{\alpha,\beta }^m $ Δα,βm of the real line. We define and study the linear… read more here.
Keywords: jacobi transform; canonical fourier; linear canonical; fourier jacobi ... See more keywords
Enhancing Accuracy of 2D 1H–13C HSQC NMR Spectra Under Low Sampling Rates via Non-Harmonic Analysis and Band Segmentation
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Access"
DOI: 10.1109/access.2025.3585189
Abstract: Multidimensional nuclear magnetic resonance (NMR) spectroscopy is a powerful tool for analyzing molecular structures; however, its practical application is hindered by prolonged acquisition times and reduced resolution due to spectral overlap. Although non-uniform sampling (NUS)… read more here.
Keywords: low sampling; analysis; sampling rates; band ... See more keywords