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Retrieval of Euler rotation angles from 3D similarity transformation based on quaternions
Journal of Spatial Science, 2020Recently, it has been shown how quaternion-based representation of a rotation matrix has advantages over conventional Eulerian representation in 3D similarity transformations.
Sureyya Ozgur Uygur +2 more
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Adaptive Sliding Mode Control for Spacecraft Proximity Operations Based on Dual Quaternions
Journal of Guidance Control and Dynamics, 2019This paper proposes an adaptive sliding mode control law based on dual quaternions for six-degree-of-freedom proximity operations between a chaser and a target spacecraft.
Juntang Yang, E. Stoll
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Kinematic calibration of serial robot using dual quaternions
Industrial robot, 2019Purpose The purpose of this paper is to propose an error model for serial robot kinematic calibration based on dual quaternions. Design/methodology/approach The dual quaternions are the combination of dual-number theory and quaternion algebra, which ...
Guozhi Li +3 more
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Identities for Third Order Jacobsthal Quaternions
, 2017In this paper we introduce the third order Jacobsthal quaternions and the third order Jacobsthal–Lucas quaternions and give some of their properties. We derive the relations between third order Jacobsthal numbers and third order Jacobsthal quaternions ...
Gamaliel Cerda-Morales
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Constrained Autonomous Precision Landing via Dual Quaternions and Model Predictive Control
, 2017The problem of powered descent guidance and control for autonomous precision landing for next-generation planetary missions is addressed. The precision landing algorithm aims to trace a fuel-optimal trajectory while keeping geometrical constraints such ...
Unsik Lee, M. Mesbahi
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Involutions of Complexified Quaternions and Split Quaternions
Advances in Applied Clifford Algebras, 2012An involution or anti-involution is a self-inverse linear mapping. Involutions and anti-involutions of real quaternions were studied by Ell and Sangwine [15]. In this paper we present involutions and antiinvolutions of biquaternions (complexified quaternions) and split quaternions.
Yayli, Yusuf, Bekar, MURAT
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On a Generalization for Tribonacci Quaternions
, 2017Let $$V_{n}$$Vn denote the third order linear recursive sequence defined by the initial values $$V_{0}$$V0, $$V_{1}$$V1 and $$V_{2}$$V2 and the recursion $$V_{n}=rV_{n-1}+sV_{n-2}+tV_{n-3}$$Vn=rVn-1+sVn-2+tVn-3 if $$n\ge 3$$n≥3, where r, s, and t are ...
Gamaliel Cerda-Morales
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On higher order Fibonacci quaternions
The Journal of Analysis, 2021Can Kızılateş, Tiekoro Kone
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SQISign: compact post-quantum signatures from quaternions and isogenies
IACR Cryptology ePrint Archive, 2020L. D. Feo +4 more
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Graphs and Combinatorics, 2005
Let m be an integer, m ? 2 and set n = 2 m . Let G be a non-cyclic group of order 2n admitting a cyclic subgroup of order n. We prove that G always admits a starter and so there exists a one---factorization [InlineMediaObject not available: see fulltext.] of K 2 n admitting G as an automorphism group acting sharply transitively on vertices.
BONISOLI, Arrigo, RINALDI, Gloria
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Let m be an integer, m ? 2 and set n = 2 m . Let G be a non-cyclic group of order 2n admitting a cyclic subgroup of order n. We prove that G always admits a starter and so there exists a one---factorization [InlineMediaObject not available: see fulltext.] of K 2 n admitting G as an automorphism group acting sharply transitively on vertices.
BONISOLI, Arrigo, RINALDI, Gloria
openaire +3 more sources