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Journal articles on the topic 'Courbes de Hilbert 3D'

Author: Grafiati

Published: 13 July 2024

Last updated: 31 July 2025

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1

Perrin, Daniel. "La connexité asymptotique du schéma de Hilbert des courbes gauches." ANNALI DELL UNIVERSITA DI FERRARA 49, no. 1 (2003): 183–95. http://dx.doi.org/10.1007/bf02844916.

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2

Templier, Nicolas. "Sur le rang des courbes elliptiques sur les corps de classes de Hilbert." Compositio Mathematica 147, no. 4 (2011): 1087–104. http://dx.doi.org/10.1112/s0010437x10005051.

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AbstractLet E/ℚ be an elliptic curve and let D<0 be a sufficiently large fundamental discriminant. If $E(\overline {\BmQ })$ contains Heegner points of discriminant D, those points generate a subgroup of rank at least |D|δ, where δ>0 is an absolute constant. This result is compatible with the Birch and Swinnerton-Dyer conjecture.

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3

Crnojevic-Bengin, Vesna, and Djuradj Budimir. "Novel 3D Hilbert microstrip resonators." Microwave and Optical Technology Letters 46, no. 3 (2005): 195–97. http://dx.doi.org/10.1002/mop.20943.

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4

Guffroy, Sébastien. "Sur l’incomplétude de la série linéaire caractéristique d’une famille de courbes planes à nœuds et à cusps." Nagoya Mathematical Journal 171 (2003): 51–83. http://dx.doi.org/10.1017/s0027763000025514.

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AbstractSince J.Wahl ([27]), it is known that degree d plane curves having some fixed numbers of nodes and cusps as its only singularities can be represented by a scheme, let say H, which can be singular. In Wahl’s example, H is singular along a subscheme F but the induced reduced scheme Hred is smooth along F. In this work, we construct explicitly a family of plane curves with nodes and cusps which are represented by singular points of Hred.To this end, we begin to show that the Hilbert scheme of smooth and connected space curves of degree 12 and genus 15 is irreducible and generically smooth

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5

Martin-Deschamps, Mireille, and Daniel Perrin. "Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit." Annales scientifiques de l'École normale supérieure 29, no. 6 (1996): 757–85. http://dx.doi.org/10.24033/asens.1753.

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6

Aït Amrane, Samir. "Sur le schéma de Hilbert des courbes de degré d et genre de ℙk3". Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 326, № 7 (1998): 851–56. http://dx.doi.org/10.1016/s0764-4442(98)80049-9.

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7

Ginouillac, Stéphane. "Sur le nombre de composantes du schéma de Hilbert des courbes ACM de pk3." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329, no. 10 (1999): 857–62. http://dx.doi.org/10.1016/s0764-4442(00)87488-1.

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8

Ujang, Uznir, Francois Anton, Suhaibah Azri, Alias Abdul Rahman, and Darka Mioc. "3D Hilbert Space Filling Curves in 3D City Modeling for Faster Spatial Queries." International Journal of 3-D Information Modeling 3, no. 2 (2014): 1–18. http://dx.doi.org/10.4018/ij3dim.2014040101.

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The advantages of three dimensional (3D) city models can be seen in various applications including photogrammetry, urban and regional planning, computer games, etc. They expand the visualization and analysis capabilities of Geographic Information Systems on cities, and they can be developed using web standards. However, these 3D city models consume much more storage compared to two dimensional (2 D) spatial data. They involve extra geometrical and topological information together with semantic data. Without a proper spatial data clustering method and its corresponding spatial data access metho

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9

Rosenberg, Ori Izhak, and David Abookasis. "Application of Hilbert Analysis in Orthogonal Fourier Fringe-projection to Improve Object Shape Reconstruction -=SUP=-*-=/SUP=-." Оптика и спектроскопия 129, no. 5 (2021): 658. http://dx.doi.org/10.21883/os.2021.05.50894.1039-20.

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Three-dimensional (3D) measurement of an object is widely used in many fields including machine vision, quality control, robotics, medical diagnostics, and others. High-precision 3D surface topography is necessary for describing object shape accurately with high spatial resolution. A combined approach to improve 3D object shape recovery based on Fourier orthogonal fringe projection together with Hilbert transform is proposed and demonstrated. This new idea of combination is highly effective due to the suppressing of background intensity of the deformed fringe pattern while the zero spectrum is

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10

Nguyen, Giap, Patrick Franco, Rémy Mullot, and Jean-Marc Ogier. "Proposition d’une famille de courbes remplissant l’espace de niveau de localité comparable à la courbe de Hilbert." Traitement du signal 29, no. 6 (2012): 553–74. http://dx.doi.org/10.3166/ts.29.553-574.

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11

JIA, Lianyin, Binbin LIANG, Mengjuan LI, Yong LIU, Yinong CHEN, and Jiaman DING. "Efficient 3D Hilbert Curve Encoding and Decoding Algorithms." Chinese Journal of Electronics 31, no. 2 (2022): 277–84. http://dx.doi.org/10.1049/cje.2020.00.171.

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12

Stoica, Ovidiu Cristinel. "No-go results on emergent space and other structures." Journal of Physics: Conference Series 2533, no. 1 (2023): 012027. http://dx.doi.org/10.1088/1742-6596/2533/1/012027.

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Abstract It is often claimed that, from the abstract quantum state vector and Hamiltonian, everything emerges uniquely (for example the 3D-space, a preferred factorization of the Hilbert space, and a preferred basis). This thesis, called Hilbert-Space Fundamentalism (HSF), is assumed for example in Carroll and Singh’s “Mad-dog Everettianism”, some proposals based on decoherence, proposals that aim to describe everything by the quantum structure alone, and proposals that spacetime emerges from a purely quantum theory of gravity. I show that whenever the 3D-space, a preferred factorization, or a

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13

Saniman, M. N. F., M. H. M Hashim, K. A. Mohammad, K. A. Abd Wahid, W. M. Wan Muhamad, and N. H. Noor Mohamed. "Tensile Characteristics of Low Density Infill Patterns for Mass Reduction of 3D Printed Polylactic Parts." International Journal of Automotive and Mechanical Engineering 17, no. 2 (2020): 7927–34. http://dx.doi.org/10.15282/ijame.17.2.2020.11.0592.

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Various infill patterns are introduced in 3D printing to generate low density objects that leads to reduced cost and fabrication time through mass reduction. However, as a trade-off, the strength of the 3D printed component is uncertain. Confusions arise in determining the infill pattern with highest value of tensile strength since most studies limited only to rectilinear, honeycomb, and concentric infill patterns. As consequences, there are very little information on rarely used infill patterns such as Hilbert curve, Archimedean cord and octagram spiral. Therefore, the purpose of this researc

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14

Mickelsson, Jouko. "3D Current Algebra and Twisted K Theory." Reviews in Mathematical Physics 30, no. 07 (2018): 1840011. http://dx.doi.org/10.1142/s0129055x18400111.

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Equivariant twisted K theory classes on compact Lie groups [Formula: see text] can be realized as families of Fredholm operators acting in a tensor product of a fermionic Fock space and a representation space of a central extension of the loop algebra [Formula: see text] using a supersymmetric Wess–Zumino–Witten model. The aim of the present paper is to extend the construction to higher loop algebras using an abelian extension of a 3D current algebra. We have only partial success: Instead of true Fredholm operators we have formal algebraic expressions in terms of the generators of the current

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15

Shan, Shuo, Yixin Ji, and Jianhua Wang. "Four-image-based 3D measurement approach employing Hilbert transform." Measurement 250 (June 2025): 117178. https://doi.org/10.1016/j.measurement.2025.117178.

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16

Gao, Peng. "Approximate Controllability of a 3D Nonlinear Stochastic Wave Equation." Journal of Applied Mathematics 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/524860.

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We study the well-posedness of a 3D nonlinear stochastic wave equation which derives from the Maxwell system by the Galerkin method. Then we study the approximate controllability of this system by the Hilbert uniqueness method.

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17

Amrane, Samir Ait. "Sur le schéma de Hilbert des courbes gauches de degré $d$ et genre $g=(d-3)(d-4)/2$." Annales de l’institut Fourier 50, no. 6 (2000): 1671–707. http://dx.doi.org/10.5802/aif.1804.

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18

Lopes, L., M. Almeida, and D. Reis. "Influence of 3D microstructure for improving the thermal performance of building façades." IOP Conference Series: Earth and Environmental Science 1196, no. 1 (2023): 012064. http://dx.doi.org/10.1088/1755-1315/1196/1/012064.

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Abstract The thermal performance of a building is highly dependent on the heat transmission through the envelope. On the other hand, additive manufacturing has been increasingly used in several industrial applications due to its possibility to produce complex structures. However, most studies of the 3d printing process focused on mechanical performance. This study aims to evaluate how the internal 3D-printed microstructure affects thermal performance. Twelve infill patterns were analysed, including Gyroid, Grid, Hilbert curve, Line, Rectilinear, Stars Triangles, 3D Honeycomb, Honeycomb, Concen

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19

Chen, Xingfan, Qican Zhang, and Yajun Wang. "Dynamic 3D Measurement Based on Camera-Pixel Mismatch Correction and Hilbert Transform." Sensors 25, no. 3 (2025): 924. https://doi.org/10.3390/s25030924.

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In three-dimensional (3D) measurement, the motion of objects inevitably introduces errors, posing significant challenges to high-precision 3D reconstruction. Most existing algorithms for compensating motion-induced phase errors are tailored for object motion along the camera’s principal axis (Z direction), limiting their applicability in real-world scenarios where objects often experience complex combined motions in the X/Y and Z directions. To address these challenges, we propose a universal motion error compensation algorithm that effectively corrects both pixel mismatch and phase-shift erro

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20

Guizilini, Vitor, and Fabio Ramos. "Towards real-time 3D continuous occupancy mapping using Hilbert maps." International Journal of Robotics Research 37, no. 6 (2018): 566–84. http://dx.doi.org/10.1177/0278364918771476.

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The ability to model the surrounding space and determine which areas are occupied is of key importance in many robotic applications, ranging from grasping and manipulation to path planning and obstacle avoidance. Occupancy modeling is often hindered by several factors, such as: real-time constraints, that require quick updates and access to estimates; quality of available data, that may contain gaps and partial occlusions; and memory requirements, especially for large-scale environments. In this work we propose a novel framework that elegantly addresses all these issues, by producing an effici

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21

Memon, Muhammad Usman, Manos M. Tentzeris, and Sungjoon Lim. "Inkjet-printed 3D Hilbert-curve fractal antennas for VHF band." Microwave and Optical Technology Letters 59, no. 7 (2017): 1698–704. http://dx.doi.org/10.1002/mop.30613.

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22

Pauly, Dirk. "A global div-curl-lemma for mixed boundary conditions in weak Lipschitz domains and a corresponding generalized A 0 * \mathrm{A}_{0}^{*} - A 1 \mathrm{A}_{1} -lemma in Hilbert spaces." Analysis 39, no. 2 (2019): 33–58. http://dx.doi.org/10.1515/anly-2018-0027.

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Abstract We prove global and local versions of the so-called {\operatorname{div}} - {\operatorname{curl}} -lemma, a crucial result in the homogenization theory of partial differential equations, for mixed boundary conditions on bounded weak Lipschitz domains in 3D with weak Lipschitz interfaces. We will generalize our results using an abstract Hilbert space setting, which shows corresponding results to hold in arbitrary dimensions as well as for various differential operators. The crucial tools and the core of our arguments are Hilbert complexes and related compact embeddings.

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23

Azencott, R., R. Glowinski, J. He, et al. "Diffeomorphic Matching and Dynamic Deformable Surfaces in 3d Medical Imaging." Computational Methods in Applied Mathematics 10, no. 3 (2010): 235–74. http://dx.doi.org/10.2478/cmam-2010-0014.

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AbstractWe consider optimal matching of submanifolds such as curves and surfaces by a variational approach based on Hilbert spaces of diffeomorphic transformations. In an abstract setting, the optimal matching is formulated as a minimization problem involving actions of diffeomorphisms on regular Borel measures considered as supporting measures of the reference and the target submanifolds. The objective functional consists of two parts measuring the elastic energy of the dynamically deformed surfaces and the quality of the matching. To make the problem computationally accessible, we use reprod

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24

Ding, Gang, Liankun Sun, Zhenkai Wan, Jialu Li, Xiaoyuan Pei, and Youhong Tang. "Recognition of Damage Modes and Hilbert–Huang Transform Analyses of 3D Braided Composites." Journal of Composites Science 2, no. 4 (2018): 65. http://dx.doi.org/10.3390/jcs2040065.

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The identification and classification of acoustic emission (AE) based failure modes are complex due to the fact that AE waves are generally released simultaneously from all AE-emitting damage sources. To fully understand the occurrence of damage and the damage evolution law of 3D braided composites, the tensile response characteristics and failure mechanisms of such composites were revealed by experiments, followed by frequency domain analyses. The results indicated good correlation between the number of AE events and the evolution of damage in 3D braided composites. After an AE signal was dec

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25

Comandini, Gianni, Valeska Ting, Mahdi Azarpeyvand, and Fabrizio Scarpa. "Experimental and Numerical Studies on the Hilbert Fractal Architecture as an Acoustic Metamaterial." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 5 (2023): 2358–61. http://dx.doi.org/10.3397/in_2022_0336.

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Experiments and numerical methods were used to investigate the key parameters which affect the transmission loss behaviour of Hilbert fractal acoustic metamaterials. The tests were conducted using a four-microphone impedance tube, and the numerical simulation was performed using COMSOL Multiphysics software. Fractal order and cavity slot widths on Hilbert fractal metamaterials were investigated. 3D printing manufacturing techniques were used to make polylactic acid specimens. The COMSOL model developed utilised thermo-viscous and lossless domains with boundary layer mesh in the fractal cavitie

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26

Mendonça, Diego C. M., та Olivier Piguet. "Loop Quantization of a 3D AbelianBFModel withσ-Model Matter". Advances in Mathematical Physics 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/307132.

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The main goal of this work is to explore the symmetries and develop the dynamics associated with a 3D AbelianBFmodel coupled to scalar fields submitted to a sigma model like constraint, at the classical and quantum levels. Background independence, on which the model is founded, strongly constrains its nature. We adapt to the present model the techniques of Loop Quantum Gravity in order to construct its physical Hilbert space and its observables.

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27

Meusburger, Catherine, and Karim Noui. "The Hilbert space of 3d gravity: quantum group symmetries and observables." Advances in Theoretical and Mathematical Physics 14, no. 6 (2010): 1651–715. http://dx.doi.org/10.4310/atmp.2010.v14.n6.a3.

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28

Zheng, Yikang, Yibo Wang, and Xu Chang. "3D forward modeling of upgoing and downgoing wavefields using Hilbert transform." GEOPHYSICS 83, no. 1 (2018): F1—F8. http://dx.doi.org/10.1190/geo2016-0637.1.

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The separation of upgoing and downgoing wavefields is an important technique in the processing of vertical seismic profiling data and ocean bottom cable data. It is also used in reverse time migration (RTM) based on the two-way wave equation to suppress low-frequency, high-amplitude noises and false images. Therefore, we model upgoing and downgoing wavefields directly in the wavefield propagation. There are several methods to obtain separated wavefields. The methods using the Fourier transform require storage of the wavefields, which is not practical due to the extremely high disk-space requir

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29

Nasu, Hirokazu. "The Hilbert Scheme of Space Curves of Degreedand Genus 3d−18." Communications in Algebra 36, no. 11 (2008): 4163–85. http://dx.doi.org/10.1080/00927870802175089.

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30

Kiran, K. Surya, Chethan Krishnan, and Avinash Raju. "3D gravity, Chern–Simons and higher spins: A mini introduction." Modern Physics Letters A 30, no. 32 (2015): 1530023. http://dx.doi.org/10.1142/s0217732315300232.

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We give a review on (a) elements of (2+1)-dimensional gravity, (b) some aspects of its relation to Chern–Simons theory, (c) its generalization to couple higher spins, and (d) cosmic singularity resolution as an application in the context of flat space higher spin theory. A knowledge of the Einstein–Hilbert action, classical non-Abelian gauge theory and some (negotiable amount of) maturity are the only pre-requisites.

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31

Suzuki, Osamu, and Zhidong Zhang. "A Method of Riemann–Hilbert Problem for Zhang’s Conjecture 1 in a Ferromagnetic 3D Ising Model: Trivialization of Topological Structure." Mathematics 9, no. 7 (2021): 776. http://dx.doi.org/10.3390/math9070776.

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A method of the Riemann–Hilbert problem is applied for Zhang’s conjecture 1 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in the zero external field and the solution to the Zhang’s conjecture 1 is constructed by use of the monoidal transform. At first, the knot structure of the ferromagnetic 3D Ising model in the zero external field is determined and the non-local behavior of the ferromagnetic 3D Ising model can be described by the non-trivial knot structure. A representation from the knot space to the Clifford algebra of exponential type is cons

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32

Zhang, Zhidong, and Osamu Suzuki. "A Method of the Riemann–Hilbert Problem for Zhang’s Conjecture 2 in a Ferromagnetic 3D Ising Model: Topological Phases." Mathematics 9, no. 22 (2021): 2936. http://dx.doi.org/10.3390/math9222936.

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A method of the Riemann–Hilbert problem is employed for Zhang’s conjecture 2 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in a zero external magnetic field. In this work, we first prove that the 3D Ising model in the zero external magnetic field can be mapped to either a (3 + 1)-dimensional ((3 + 1)D) Ising spin lattice or a trivialized topological structure in the (3 + 1)D or four-dimensional (4D) space (Theorem 1). Following the procedures of realizing the representation of knots on the Riemann surface and formulating the Riemann–Hilbert probl

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33

Bisu, Claudiu, Alain Gerard, Miron Zapciu, and Olivier Cahuc. "The Milling Process Monitoring Using 3D Envelope Method." Advanced Materials Research 423 (December 2011): 77–88. http://dx.doi.org/10.4028/www.scientific.net/amr.423.77.

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This paper proposes a method to vibration analysis in order to on-line monitoring of milling process quality. Adapting envelope analysis to characterize the milling tool materials is an important contribution to the qualitative and quantitative characterization of milling capacity and a step by modeling the three-dimensional cutting process. An experimental protocol was designed and developed for the acquisition, processing and analyzing three-dimensional signal. The vibration envelope analysis is proposed to detect the cutting capacity of the tool with the optimization application of cutting

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34

Papacharalampopoulos, Alexios, Harry Bikas, and Panagiotis Stavropoulos. "Path planning for the infill of 3D printed parts utilizing Hilbert curves." Procedia Manufacturing 21 (2018): 757–64. http://dx.doi.org/10.1016/j.promfg.2018.02.181.

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35

Wu, Yuhao, Xuefeng Cao, and Wanzhong Sun. "MI-HCS: Monotonically Increasing Hilbert Code Segments for 3D Geospatial Query Window." IEEE Access 8 (2020): 47580–95. http://dx.doi.org/10.1109/access.2020.2979250.

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36

Man, Xian-feng, Bai-zhan Xia, Zhen Luo, and Jian Liu. "3D Hilbert fractal acoustic metamaterials: low-frequency and multi-band sound insulation." Journal of Physics D: Applied Physics 52, no. 19 (2019): 195302. http://dx.doi.org/10.1088/1361-6463/ab092a.

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37

Eryildiz, Meltem. "The effects of infill patterns on the mechanical properties of 3D printed PLA parts fabricated by FDM." Ukrainian Journal of Mechanical Engineering and Materials Science 7, no. 1-2 (2021): 1–8. http://dx.doi.org/10.23939/ujmems2021.01-02.001.

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The purpose of this study is to analyze the effect of the infill pattern on the mechanical properties of 3D printed PLA parts. Polylactic acid (PLA) parts were fabricated by fused deposition modeling (FDM) at various infill patterns at 30% infill density. Five different infill patterns (stars, 3D honeycomb, honeycomb, gyroid, Hilbert curve) have been investigated. The results have shown that the honeycomb infill pattern exhibited the highest mechanical properties with 29.43 MPa and 2.04 mm elongation due to the improved strength of the strut junctions in this pattern. In the case of the Hilber

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38

Hansen, R. O. "3D multiple-source Werner deconvolution for magnetic data." GEOPHYSICS 70, no. 5 (2005): L45—L51. http://dx.doi.org/10.1190/1.2073883.

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Werner deconvolution has been widely used for at least 30 years for rapid interpretation of magnetic data. Since 1993, a multiple-source generalization of the method has been known, and at least two implementations of the algorithm are in use. Recently, Werner deconvolution has been extended to three dimensions through the use of generalized Hilbert transforms. In this paper, a multiple-source extension of the 3D Werner algorithm is developed which also generalizes the 2D multiple-source algorithm. The implementation of this algorithm is tested on both 3D multiple-source synthetic data, for wh

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39

Arnison, M. R., C. J. Cogswell, N. I. Smith, P. W. Fekete, and K. G. Larkin. "Using the Hilbert transform for 3D visualization of differential interference contrast microscope images." Journal of Microscopy 199, no. 1 (2000): 79–84. http://dx.doi.org/10.1046/j.1365-2818.2000.00706.x.

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40

Han, Jie, Tao Zhang, Zhaoyang Qiu, and Xiaoyu Zheng. "Communication emitter individual identification via 3D-Hilbert energy spectrum-based multiscale segmentation features." International Journal of Communication Systems 32, no. 1 (2018): e3833. http://dx.doi.org/10.1002/dac.3833.

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41

Guizilini, Vitor, and Fabio Ramos. "Learning to reconstruct 3D structures for occupancy mapping from depth and color information." International Journal of Robotics Research 37, no. 13-14 (2018): 1595–609. http://dx.doi.org/10.1177/0278364918783061.

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Real-world scenarios contain many structural patterns that, if appropriately extracted and modeled, can be used to reduce problems associated with sensor failure and occlusions while improving planning methods in such tasks as navigation and grasping. This paper devises a novel unsupervised procedure that models 3D structures from unorganized pointclouds as occupancy maps. Our methodology enables the learning of unique and arbitrarily complex features using a variational Bayesian convolutional auto-encoder, which compresses local information into a latent low-dimensional representation and the

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42

Bulavskaya, A., E. Bushmina, A. Grigorieva, I. Miloichikova, and S. Stuchebrov. "X-ray study of the density distribution of FFF-printed samples with different fill patterns." Journal of Instrumentation 19, no. 06 (2024): C06013. http://dx.doi.org/10.1088/1748-0221/19/06/c06013.

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Abstract Three-dimensional printing has a wide range of applications in science and technology. Fused filament fabrication (FFF) is a commonly used 3D printing technology, which is now being increasingly employed in radiation physics. In FFF, the internal structure of an object is primarily determined by its fill pattern and selected print modes. Therefore, this study aims to examine the interaction between X-rays and 3D-printed plastic samples with various infill patterns. The 3D-printed objects were produced using FFF with plastic and different infill patterns, including Rectilinear, Grid, T

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43

MARKOWICH, PETER A., and NORBERT J. MAUSER. "THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D." Mathematical Models and Methods in Applied Sciences 03, no. 01 (1993): 109–24. http://dx.doi.org/10.1142/s0218202593000072.

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Under natural assumptions on the initial density matrix of a mixed quantum state (Hermitian, non-negative definite, uniformly bounded trace, Hilbert-Schmidt norm and kinetic energy) we prove that accumulation points (as the scaled Planck constant tends to zero) of solutions of a corresponding slightly regularized Wigner-Poisson system are distributional solutions of the classical Vlasov-Poisson system. The result holds for the gravitational and repulsive cases. Also, for every phase-space density in [Formula: see text] (with bounded kinetic energy) we prepare a sequence of density matrices sat

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44

Wu, Haitao, Yiping Cao, Haihua An, et al. "High-precision 3D shape measurement of rigid moving objects based on the Hilbert transform." Applied Optics 60, no. 27 (2021): 8390. http://dx.doi.org/10.1364/ao.435462.

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45

Davis, Kristofer, and Yaoguo Li. "Efficient 3D inversion of magnetic data via octree-mesh discretization, space-filling curves, and wavelets." GEOPHYSICS 78, no. 5 (2013): J61—J73. http://dx.doi.org/10.1190/geo2012-0192.1.

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Airborne magnetic survey data sets can contain from hundreds of thousands to millions of observations and typically cover large areas. The large number of measurements combined with a model mesh to accommodate the survey extent can render an inversion of these data intractable. Faced with this challenge, we have developed a three-step procedure to locally optimize the degree of model discretization and to compress the corresponding sensitivity matrix for the inversion of magnetic data. The mesh optimization is achieved through the use of adaptive octree discretization. The compression is achie

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46

Tan, Guangjun, Zhi Chen, Wei Zhao, and Xiaofeng Sun. "Research on phase-locked loop technique based on three-dimensional coordinate transformation." Engineering Research Express 4, no. 1 (2022): 015013. http://dx.doi.org/10.1088/2631-8695/ac4de5.

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Abstract The traditional phase-locked loop (PLL) technique widely used in three-phase four-wire system can only obtain one phase angle, and cannot obtain other parameters of unbalanced voltages, such as the amplitude and phase angle of each phase voltage. In order to improve the performance of PLL in unbalanced three-phase four-wire system with disturbance and reduce the order of PLL to improve the stability of the system, a PLL technique based on three-dimensional (3D) coordinate transformation was proposed in this paper. Firstly, the phase detector error of three-phase unbalanced voltage was

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Ahmadpour, Ali, Abdolmajid Dejamkhooy, and Hossein Shayeghi. "Fault Diagnosis of HTS–SLIM Based on 3D Finite Element Method and Hilbert–Huang Transform." IEEE Access 10 (2022): 35736–49. http://dx.doi.org/10.1109/access.2022.3159693.

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Zhang, Suqi, Yue Lu, Jian Sun, Yu Gu, Xiaodan Zhang, and Zhiyong Tang. "The process intensification of CO2 absorption in Hilbert fractal reactor fabricated by a 3D printer." Energy Sources, Part A: Recovery, Utilization, and Environmental Effects 41, no. 4 (2018): 481–92. http://dx.doi.org/10.1080/15567036.2018.1520331.

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Cremonesi, Stefano. "The Hilbert series of 3d ${\boldsymbol{\mathcal{N}}}=2$ Yang–Mills theories with vectorlike matter." Journal of Physics A: Mathematical and Theoretical 48, no. 45 (2015): 455401. http://dx.doi.org/10.1088/1751-8113/48/45/455401.

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Mohan, Shashi Ranjan, Syed Nizamuddin Khaderi, and Suryakumar Simhambhatla. "3D Printing of Components with Tailored Properties Through Hilbert Curve Filling of a Discretized Domain." 3D Printing and Additive Manufacturing 7, no. 6 (2020): 288–99. http://dx.doi.org/10.1089/3dp.2020.0048.

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