Results 1 to 10 of about 2,320 (159)
Quaternion Matrix Factorization for Low-Rank Quaternion Matrix Completion
Mathematics, 2023 The main aim of this paper is to study quaternion matrix factorization for low-rank quaternion matrix completion and its applications in color image processing.
Jiang-Feng Chen +3 more
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The Theory of Quaternion Matrix Derivatives [PDF]
IEEE Transactions on Signal Processing, 2015 This regular paper was submitted to IEEE TSP Jun 03 ...
Dongpo Xu, Danilo P Mandic
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Multispectral palmprint recognition using a quaternion matrix. [PDF]
Sensors (Basel), 2012 Palmprints have been widely studied for biometric recognition for many years. Traditionally, a white light source is used for illumination. Recently, multispectral imaging has drawn attention because of its high recognition accuracy. Multispectral palmprint systems can provide more discriminant information under different illuminations in a short time,
Xu X, Guo Z, Song C, Li Y.
europepmc +5 more sources
Cramer’s rule for some quaternion matrix equations [PDF]
Applied Mathematics and Computation, 2010 13 ...
Ivan I Kyrchei
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Principal Component Analysis Based Quaternion-Valued Medians for Non-Invasive Blood Glucose Estimation [PDF]
SensorsFor four-channel photoplethysmograms (PPGs), this paper employs quaternion-valued medians as features for performing non-invasive blood glucose estimation.
Jingheng Feng, Bingo Wing-Kuen Ling
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On Fibonacci quaternion matrix [PDF]
Notes on Number Theory and Discrete Mathematics, 2021 In this study, we have defined Fibonacci quaternion matrix and investigated its powers. We have also derived some important and useful identities such as Cassini’s identity using this new matrix.
Serpil Halici, Ömür Deveci
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Generalized Quaternions and Matrix Algebra
Afyon Kocatepe University Journal of Sciences and Engineering, 2023 In this paper, we established the connection between generalized quaternion algebra and real (complex) matrix algebras by using Hamilton operators. We obtained real and complex matrices corresponding to the real and complex basis of the generalized quaternions. Also, we investigated the basis features of real and complex matrices. We get Pauli matrices
Erhan ATA, Ümit Ziya SAVCI
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained.
Wang Chao, Li Zhien, Agarwal Ravi P.
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On the Matrix Form of the Quaternion Fourier Transform and Quaternion Convolution
CoRR, 2023 We study matrix forms of quaternionic versions of the Fourier Transform and Convolution operations. Quaternions offer a powerful representation unit, however they are related to difficulties in their use that stem foremost from non-commutativity of quaternion multiplication, and due to that $μ^2 = -1$ possesses infinite solutions in the quaternion ...
Giorgos Sfikas, George Retsinas
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Matrix-Valued and Quaternion Wavelets [PDF]
IEEE Transactions on Signal Processing, 2013 Wavelet transforms using matrix-valued wavelets (MVWs) can process the components of vector-valued signals jointly. We construct some novel families of non-trivial orthogonal n×n MVWs for n=2 and 4 having several vanishing moments. Some useful uniqueness and non-existence results for filters with certain lengths and numbers of vanishing moments are ...
Paul Ginzberg, Andrew T. Walden
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