Results 11 to 20 of about 245,475 (190)
On extending the ADMM algorithm to the quaternion algebra setting [PDF]
, 2021 Many image and signal processing problems benefit from quaternion based models, due to their property of processing different features simultaneously.
De Bie, HendrikTW060020000664408010020445350000-0003-3806-7836F7EBB716-F0ED-11E1-A9DE-61C894A0A6B4 +4 more
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Quaternion and Split Quaternion Neural Networks for Low-Light Color Image Enhancement
IEEE Access, 2023 In this study, two models of multilayer quaternionic feedforward neural networks are presented. Whereas the first model is based on quaternion algebra, the second model uses split quaternion algebra.
Eduardo Jesus De Davila-Meza +1 more
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Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
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RKHS Representations for Augmented Quaternion Random Signals: Application to Detection Problems
Mathematics, 2022 The reproducing kernel Hilbert space (RKHS) methodology has shown to be a suitable tool for the resolution of a wide range of problems in statistical signal processing both in the real and complex domains.
Antonia Oya
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Canonical quaternion algebra of the Whitehead link complement [PDF]
, 2023 Let ΓM be the fundamental group of a knot or link complement M. The discrete faithful representation of ΓM into PSL2(C) has an associated quaternion algebra. We can extend this notation to other representations, which are encoded by the character variety
Palmer, Rebekah, 0000-0002-1240-6759
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International Journal of Advanced Robotic Systems, 2011 In this paper, we compare three inverse kinematic formulation methods for the serial industrial robot manipulators. All formulation methods are based on screw theory.
Emre Sariyildiz +2 more
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Wiener Algebra for the Quaternions [PDF]
Mediterranean Journal of Mathematics, 2015 We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-Lévy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener-Hopf operators.
Alpay, Daniel +3 more
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Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics
Journal of Mathematics, 2023 The algebra of split quaternions is a recently increasing topic in the study of theory and numerical computation in split quaternionic mechanics. This paper, by means of a real representation of a split quaternion matrix, studies the problem of canonical
Tongsong Jiang +4 more
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Bounds on the levels of composition algebras [PDF]
, 2010 Certain families of quaternion and octonion algebras are conjectured to be of level and sublevel n. A proof of this conjecture is offered in the case where n is a power of two. Hoffmann's proof of the existence of infinitely many new values for the level
James O'Shea +2 more
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Splitting of differential quaternion algebras [PDF]
, 2023 We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field $k$ is always split by a quadratic extension of $k$.
Singh, Anupam +2 more
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