In this paper we present an elaborate and precise geometrical model of the spine structure based on spherical harmonics. We first describe the application of spherical harmonics to the modelling of the vertebra surface, then we study the behaviour of the model under particular deformations. The first results of this study show that we can obtain a realistic model of each vertebra of the spine and that it is possible to estimate particular deformations with a good accuracy from the spherical harmonics coefficients of the deformed surface. Furthermore, this model constitutes an a priori geometrical knowledge for the diagnosis of the spine scoliosis in a three-dimensional approach (reconstruction from 2D images).
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Ultrasonics
January 2025
School of Biological Science and Medical Engineering, Beihang University, Beijing, China. Electronic address:
Transcranial focused ultrasound (tFUS) has been gaining increased attention as a non-invasive modality for treating brain diseases. However, accurately focusing on brain structures remains a challenge as the ultrasound is severely distorted by the presence of the skull. In this article, we propose a promising distortion correction method based on spherical wave expansions.
View Article and Find Full Text PDFSensors (Basel)
November 2024
Department of Computer and Electrical Engineering, Mid Sweden University, 851 70 Sundsvall, Sweden.
Traditional spherical sector microphone arrays using omnidirectional microphones face limitations in modal strength and spatial resolution, especially within spherical sector configurations. This study aims to enhance array performance by developing a spherical sector array employing first-order cardioid microphones. A model based on spherical sector harmonic (SSH) functions is introduced to extend the benefits of spherical harmonics to sector arrays.
View Article and Find Full Text PDFJ Mach Learn Biomed Imaging
May 2024
Support Center for Advanced Neuroimaging (SCAN), University Institute of Diagnostic and Interventional Neuroradiology, University of Bern, Inselspital, Bern University Hospital, Bern, Switzerland.
Philos Trans A Math Phys Eng Sci
December 2024
Department of Space Research and Technology, Technical University of Denmark, Lyngby, Denmark.
Satellite magnetic field observations have the potential to provide valuable information on dynamics, heat content and salinity throughout the ocean. Here, we present the expected spatio-temporal characteristics of the ocean-induced magnetic field (OIMF) at satellite altitude on periods of months to decades. We compare these to the characteristics of other sources of Earth's magnetic field, and discuss whether it is feasible for the OIMF to be retrieved and routinely monitored from space.
View Article and Find Full Text PDFSensors (Basel)
November 2024
School of Information and Electronic Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China.
A large number of fully normalized associated Legendre function (fnALF) calculations are required to compute Earth's gravity field elements using ultra high-order gravity field coefficient models. In the surveying and mapping industry, researchers typically rely on CPU-based systems for these calculations, which leads to limitations in execution speed and power efficiency. Although modern CPUs improve instruction execution efficiency through instruction-level parallelism, the constraints of a shared memory architecture impose further limitations on the execution speed and power efficiency.
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