QUATERNION

作品数:182被引量:270H指数:7
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相关领域:理学更多>>
相关作者:舒华忠王晓辉周越杨杰伍家松更多>>
相关机构:东南大学上海交通大学南京航空航天大学金华职业技术学院更多>>
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相关基金:国家自然科学基金国家教育部博士点基金国家高技术研究发展计划天津市自然科学基金更多>>
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A holographic optical communication system based on RSA algorithm and quaternion function
《Journal of Measurement Science and Instrumentation》2024年第3期338-343,共6页YANG Peng HAN Jianning 
supported by Young Academic Leaders Program of Taiyuan Institute of Technology(No.2022XS06);Scientific Research Funding Project of Taiyuan Institute of Technology(Nos.2022LJ028,2022KJ103).
A facile encryption way was successfully applied to the holographic optical encryption system with high speed,multidimensionality,and high capacity,which provided a better security solution for underwater communicatio...
关键词:HOLOGRAPHY QUATERNION Fourier lens extended Rivest-Shamir-Adleman(ERSA) Pollard’s rho method 
Modelling the brittle rock failure by the quaternion-based bonded-particle model in DEM
《Rock Mechanics Bulletin》2024年第2期87-95,共9页Tao Zhao Philip E.F.Collins 
supported by the UK Engineering and Physical Sciences Research Council(EPSRC)New Investigator Award(Grant No.EP/V028723/1);the Royal Society,Sino-British Fellowship Trust International Exchanges Award(No.IES\R2\202023)。
This paper presents an investigation of brittle rock failure by the quaternion-based bonded-particle model in discrete element method(DEM).Unlike traditional approaches that utilize Euler angles or rotation matrices,t...
关键词:Brittle failure QUATERNION DEM bonded model Uniaxial compression test Rate dependent Internal damage 
Quaternionic Monge–Ampère Measure on Pluripolar Set
《Acta Mathematica Sinica,English Series》2024年第6期1431-1457,共27页Hichame AMAL Saïd ASSERDA Fadoua BOUKHARI 
In this paper, we prove that in a hyperconvex domain Ω in H^(n), if a non-negative Borel measure is dominated by a quaternionic Monge–Ampère measure, then it is a quaternionic Monge–Ampère measure of a function i...
关键词:Quaternion space Monge-Amp`ere operator plurisubharmonic function 
Detecting Double Mixed Compressed Images Based on Quaternion Convolutional Neural Network被引量:1
《Chinese Journal of Electronics》2024年第3期657-671,共15页Hao WANG Jinwei WANG Xuelong HU Bingtao HU Qilin YIN Xiangyang LUO Bin MA Jinsheng SUN 
supported by the National Natural Science Foundation of China (Grant Nos.62072250,61772281,61702235,U1636117,and U1804263)。
Detection of color images that have undergone double compression is a critical aspect of digital image forensics.Despite the existence of various methods capable of detecting double Joint Photographic Experts Group(JP...
关键词:Color image forensics JPEG JPEG2000 Mixed double compression Quaternion convolutional neural network 
Complex Decision Modeling Framework with Fairly Operators and Quaternion Numbers under Intuitionistic Fuzzy Rough Context
《Computer Modeling in Engineering & Sciences》2024年第5期1893-1932,共40页Nadeem Salamat Muhammad Kamran Shahzaib Ashraf Manal Elzain Mohammed Abdulla Rashad Ismail Mohammed M.Al-Shamiri 
funded by King Khalid University through a large group research project under Grant Number R.G.P.2/449/44.
The main goal of informal computing is to overcome the limitations of hypersensitivity to defects and uncertainty while maintaining a balance between high accuracy,accessibility,and cost-effectiveness.This paper inves...
关键词:Intuitionistic fuzzy set quaternion numbers fuzzy logic DECISION-MAKING rough set 
Q-RBSA:high-resolution 3D EBSD map generation using an efficient quaternion transformer network
《npj Computational Materials》2024年第1期2978-2987,共10页Devendra K.Jangid Neal R.Brodnik McLean P.Echlin Chandrakanth Gudavalli Connor Levenson Tresa M.Pollock Samantha H.Daly B.S.Manjunath 
supported in part by NSF award SI2-SSI#1664172.N.R.B.and S.H.D.gratefully acknowledge financial support from NSWC Grant(N00174-22-1-0020);supported by the MRSEC Program of the NSF under Award No.DMR 2308708;a member of the NSF-funded Materials Research Facilities Network(www.mrfn.org).Use was also made of computational facilities purchased with funds from the National Science Foundation(CNS-1725797)and administered by the Center for Scientific Computing(CSC);supported by the California NanoSystems Institute and the Materials Research Science and Engineering Center(MRSEC,NSF DMR 2308708)at UC Santa Barbara.
Gathering 3D material microstructural information is time-consuming,expensive,and energy-intensive.Acquisition of 3D data has been accelerated by developments in serial sectioning instrument capabilities;however,for c...
关键词:EBSD NETWORK RESOLUTION 
Elements of Electromagnetic Matter
《Journal of Modern Physics》2024年第3期250-270,共21页Viktor Ariel 
Originally, Maxwell attempted to express his electromagnetic theory using four-dimensional mathematics of quaternions. Maxwell’s equations were later re-written in a three-dimensional real vector form, which is how t...
关键词:Maxwell’s Equations Relativistic Electrodynamics Quaternion Calculus 
Quaternion-Based Adaptive Trajectory Tracking Control of a Rotor-Missile with Unknown Parameters Identification
《Defence Technology(防务技术)》2024年第1期375-386,共12页Jie Zhao Zhongjiao Shi Yuchen Wang Wei Wang 
partially supported by the Natural Science Foundation of China (Grant Nos.62103052,52272358);partially supported by the Beijing Institute of Technology Research Fund Program for Young Scholars。
This paper investigates the adaptive trajectory tracking control problem and the unknown parameter identification problem of a class of rotor-missiles with parametric system uncertainties.First,considering the uncerta...
关键词:Rotor-missile Adaptive control Parameter identification Quaternion control 
Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM
《Communications on Applied Mathematics and Computation》2023年第4期1469-1483,共15页Liqun Qi 
Hong Kong Innovation and Technology Commission(InnoHK Project CIMDA).
Several common dual quaternion functions,such as the power function,the magnitude function,the 2-norm function,and the kth largest eigenvalue of a dual quaternion Hermitian matrix,are standard dual quaternion function...
关键词:Standard dual quaternion functions Dual quaternion optimization Quaternion optimization Hand-eye calibration Simultaneous localization and mapping(SLAM) 
Cyclic Solution and Optimal Approximation of the Quaternion Stein Equation
《Journal of Applied Mathematics and Physics》2023年第11期3735-3746,共12页Guangmei Liu Yanting Zhang Yiwen Yao Jingpin Huang 
In this paper, two different methods are used to study the cyclic structure solution and the optimal approximation of the quaternion Stein equation AXB - X = F  . Firstly, the matrix equation equivalent to the target ...
关键词:Quaternion Field Stein Equation Cyclic Matrix Complex Decomposition Real Decomposition Optimal Approximation 
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