Results 91 to 100 of about 245,475 (190)

A System of Tensor Equations over the Dual Split Quaternion Algebra with an Application

open access: yes
In this paper, we propose a definition of block tensors and the real representation of tensors. Equipped with the simplification method, i.e., the real representation along with the M-P inverse, we demonstrate the conditions that are necessary and ...
Liuqing Yang, Qing-Wen Wang, Zuliang Kou
core   +1 more source

Quaternion-Domain Super MDS for Robust 3D Localization

open access: yesIEEE Open Journal of Signal Processing
This paper proposes a novel low-complexity three-dimensional (3D) localization algorithm for wireless sensor networks, termed quaternion-domain super multi-dimensional scaling (QD-SMDS).
Alessio Lukaj   +4 more
doaj   +1 more source

Co-rotational 3D shell element using quaternion algebra to account for large rotations: Static and dynamic applications

open access: yesForces in Mechanics
This paper presents a new co-rotational shell element based on quaternion algebra as a means of parameterizing large rotations. The co-rotational framework is suitable for beam or shell elements and has been extensively studied in the literature.
Stéphane Grange, David Bertrand
doaj   +1 more source

Reply to Bektaş, S. Comment on “Ioannidou, S.; Pantazis, G. Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra. ISPRS Int. J. Geo-Inf. 2020, 9, 494”

open access: yesISPRS International Journal of Geo-Information
The comment disputes some of the inferences in the paper “Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra”, published in this journal. The key points in the dissent are the following: (1) The number of unknown parameters in
George Pantazis, Stefania Ioannidou
doaj   +1 more source

A Geometric Algebra Co-Processor for Color Edge Detection

open access: yes
This paper describes advancement in color edge detection, using a dedicated Geometric Algebra (GA) co-processor implemented on an Application Specific Integrated Circuit (ASIC).
Wilcock, Reuben   +6 more
core   +1 more source

Ramification of Quaternion Algebras over Stable Elliptic Surfaces

open access: yes, 2009
12 pagesWe give a geometrical criterion to determine when a quaternion algebra over the function field of a stable elliptic surface X is an Azumaya algebra over ...
Perego, Arvid
core   +2 more sources

OPTIMAL BIT ALLOCATION IN THE PARAUNITARY SUBBAND IMAGE CODER BASED ON THE QUATERNION ALGEBRA

open access: yesДоклады Белорусского государственного университета информатики и радиоэлектроники, 2019
The problem of bit allocation in the context of the tree structure 2D paraunitary filter bank based on the quaternion algebra, i.e. 4-band packet wavelet transform, is considered.
N. A. Petrovsky
doaj  

Using the uM-FPU64 Quaternion Instructions

open access: yes, 2014
Quaternions are stored as four element 32-bit or 64-bit register arrays, containing the w, x, y, and z quaternion values as ...
Quaternion Register Definitions
core  

Dual-arm admittance control using conformal geometric algebra. [PDF]

open access: yesFront Robot AI
Löw T   +5 more
europepmc   +1 more source

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