More on Modified Spherical Harmonics
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-019-0990-z
Abstract: A modification of the classical theory of spherical harmonics is presented. The space $${\mathbb {R}}^d = \{(x_1,\ldots ,x_d)\}$$ is replaced by the upper half space $${{\mathbb {R}}}_{+}^{d}=\left\{ (x_1,\ldots ,x_d), x_d > 0 \right\} $$ ,… read more here.
Keywords: mathbb; harmonics; modified spherical; spherical harmonics ... See more keywords
Concentration Estimates for Band-Limited Spherical Harmonics Expansions via the Large Sieve Principle
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-020-09744-8
Abstract: We study a concentration problem on the unit sphere $$\mathbb {S}^2$$ S 2 for band-limited spherical harmonics expansions using large sieve methods. We derive upper bounds for concentration in terms of the maximum Nyquist density.… read more here.
Keywords: spherical harmonics; harmonics expansions; large sieve; harmonics ... See more keywords
Toward recursive spherical harmonics-issued bi-filters: Part I: theoretical framework
Sign Up to like & getrecommendations! Published in 2019 at "Soft Computing"
DOI: 10.1007/s00500-018-3596-9
Abstract: This work lies in the whole topic of signal/image processing based on frequency decompositions. These are indeed applied in a variety of subjects such as estimation, reconstruction, shape recognition, filtering $$\dots $$⋯. Among these decompositions,… read more here.
Keywords: toward recursive; harmonics; issued filters; spherical harmonics ... See more keywords
From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.05.003
Abstract: Abstract We prove a sharp multiplier theorem of Mihlin–Hormander type for the Grushin operator on the unit sphere in R 3 , and a corresponding boundedness result for the associated Bochner–Riesz means. The proof hinges… read more here.
Keywords: grushin; spherical harmonics; sharp multiplier; harmonics ... See more keywords
Joint sampling theory and subjective investigation of plane-wave and spherical harmonics formulations for binaural reproduction
Sign Up to like & getrecommendations! Published in 2018 at "Applied Acoustics"
DOI: 10.1016/j.apacoust.2018.01.016
Abstract: Abstract With the recent proliferation of spherical microphone arrays for sound field recording, methods have been developed for rendering binaural signals from these recordings and free-field head related transfer functions (HRTFs). Employing spherical arrays naturally… read more here.
Keywords: plane wave; spherical harmonics; binaural reproduction; harmonics ... See more keywords
Modeling study of seated reach envelopes based on spherical harmonics with consideration of the difficulty ratings.
Sign Up to like & getrecommendations! Published in 2017 at "Applied ergonomics"
DOI: 10.1016/j.apergo.2016.12.002
Abstract: Reach envelopes are very useful for the design and layout of controls. In building reach envelopes, one of the key problems is to represent the reach limits accurately and conveniently. Spherical harmonics are proved to… read more here.
Keywords: difficulty; reach; spherical harmonics; reach envelopes ... See more keywords
Contact behaviour of simulated rough spheres generated with spherical harmonics
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2020.02.009
Abstract: Abstract Normal contact behaviour between non-adhesive fractal rough particles is studied using a finite element method (FEM). A series of spherical grain surfaces with distinguished roughness features are generated by means of Spherical Harmonics. These… read more here.
Keywords: rough spheres; spherical harmonics; contact behaviour; harmonics ... See more keywords
Spherical harmonics representation of the steady-state membrane potential shift induced by tDCS in realistic neuron models
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Neural Engineering"
DOI: 10.1088/1741-2552/acbabd
Abstract: Objective. We provide a systematic framework for quantifying the effect of externally applied weak electric fields on realistic neuron compartment models as captured by physiologically relevant quantities such as the membrane potential or transmembrane current… read more here.
Keywords: function; membrane potential; realistic neuron; spherical harmonics ... See more keywords
Spherical harmonics representation of the gravitational phase shift
Sign Up to like & getrecommendations! Published in 2023 at "Physical Review D"
DOI: 10.1103/physrevd.107.104031
Abstract: We investigate the general relativistic phase of an electromagnetic wave as it propagates in the gravitational field of the Earth, which is modeled as an isolated, weakly aspherical gravitating body. We introduce coordinate systems to… read more here.
Keywords: harmonics representation; phase shift; spherical harmonics; harmonics ... See more keywords
Spherical harmonics analysis based on the Reuss model in elastic macro strain and stress determination by powder diffraction
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Crystallography"
DOI: 10.1107/s1600576717014431
Abstract: In this paper a new approach to macro strain/stress analysis by generalized spherical harmonics is presented. It consists of expanding the stress tensor weighted by texture in a series of generalized spherical harmonics with the… read more here.
Keywords: macro strain; spherical harmonics; model; harmonics ... See more keywords
SPHARM-Net: Spherical Harmonics-Based Convolution for Cortical Parcellation
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Medical Imaging"
DOI: 10.1109/tmi.2022.3168670
Abstract: We present a spherical harmonics-based convolutional neural network (CNN) for cortical parcellation, which we call SPHARM-Net. Recent advances in CNNs offer cortical parcellation on a fine-grained triangle mesh of the cortex. Yet, most CNNs designed… read more here.
Keywords: spherical harmonics; harmonics; cortical parcellation; spharm net ... See more keywords