Results 21 to 30 of about 60,017 (247)
Foundations of Conic Conformal Geometric Algebra and Compact Versors for Rotation, Translation and Scaling [PDF]
Advances in Applied Clifford Algebras, 2019 This paper explains in algebraic detail how two-dimensional conics can be defined by the outer products of conformal geometric algebra (CGA) points in higher dimensions.
E. Hitzer, S. Sangwine
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Displacement Analysis of Spatial Linkage Mechanisms Based on Conformal Geometric Algebra
Journal of Mechanical Engineering, 2021 ： The displacement analysis is the basis of kinematics and dynamics research for spatial mechanisms. Though there exit many methods to solve the displacement analysis, the solution of multi-dimensional high-order algebraic equations is still a difficult ...
Huang Xiguang +4 more
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A Clustering Method for Geometric Data based on Approximation using Conformal Geometric Algebra [PDF]
, 2011 Clustering is one of the most useful methods for understanding similarity among data. However, most conventional clustering methods do not pay sufficient attention to the geometric properties of data. Geometric algebra (GA) is a generalization of complex
Furuhashi, Takeshi +3 more
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Gaalop - High performance computing based on conformal geometric algebra [PDF]
, 2022 11 S.We present Gaalop (Geometric algebra algorithms optimizer), our tool for high performance computing based on Conformal Geometric Algebra (GA).
Koch, Andreas, Hildenbrand, Dietmar
core
Mathematics, 2021 A novel geometric modeling and calculation method for forward displacement analysis of the 6-3 Stewart platforms is proposed by using the conformal geometric algebra (CGA) framework.
Ganmin Zhu +3 more
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Nuclear Physics B, 2015 We study the minimal unitary representation (minrep) of SO(5,2), obtained by quantization of its geometric quasiconformal action, its deformations and supersymmetric extensions.
Sudarshan Fernando, Murat Günaydin
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Invariants of Space Line Element Structure Based on Projective Geometric Algebra
IEEE Access, 2020 Based on the theory of Conformal Geometric Algebra, this paper presents a geometric constraint structure consisting of seven straight lines on three adjacent planes and its projective invariants, which can be obtained from a single frame image. Comparing
Zhang Youzheng, Mui Yanping
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DOA estimation for conformal vector-sensor array using geometric algebra
EURASIP Journal on Advances in Signal Processing, 2017 In this paper, the problem of direction of arrival (DOA) estimation is considered in the case of multiple polarized signals impinging on the conformal electromagnetic vector-sensor array (CVA).
Tianzhen Meng, Minjie Wu, Naichang Yuan
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Quadric Conformal Geometric Algebra of $${\mathbb {R}}^{9,6}$$ R 9 , 6
Advances in Applied Clifford Algebras, 2018 Stéphane Breuils +2 more
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A 1d Up Approach to Conformal Geometric Algebra: Applications in Line Fitting and Quantum Mechanics
Advances in Applied Clifford Algebras, 2020 We discuss an alternative approach to the conformal geometric algebra (CGA) in which just a single extra dimension is necessary, as compared to the two normally used.
A. Lasenby
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