Geometric Algebra
1 WHY GEOMETRIC ALGEBRA?
... Then we make the transition to true geometric algebra with the introduction of the geometric product, which incorporates all that went before and contains more beyond that. Here the disadvantage of ...
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DOA estimation for conformal vector sensor array using geometric algebra
... As for the second point, we know the electromagnetic vector sensor can measure the three components of the electric field and the three components of the magnetic field simultaneously. And, considerable studies on the ...
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Strapdown Navigation Using Geometric Algebra: Screw Blade Algorithm
... The rigid body motion can be represented by a motor in geometric algebra, and the motor can be rewritten as a tri- nometric function of the screw blade. In this paper, a screw blade strapdown inertial ...
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A conformal geometric algebra method for virtual hand modeling and interaction
... linear algebra methods have to introduce a large amount of parameters because of matrix ...production. Geometric algebra can operate the geometric objects via addition, subtraction, ...
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Polarizations as States and Their Evolution in Geometric Algebra Terms with Variable Complex Plane
... Recently suggested scheme [1] of quantum computing uses g-qubit states as circular polarizations from the solution of Maxwell equations in terms of geometric algebra, along with clear definition of a ...
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A Novel Signal Processing Coprocessor for n Dimensional Geometric Algebra Applications
... modular Geometric Algebra Micro Architecture (GAMA) co-processor design is ...the Geometric product, Inner and Outer product and also simple addition, multip- lication and division of ...
19
Human Joint Orientation Descriptor Based on Geometric Algebra and Its Application
... Abstract. Motion recognition is becoming more and more widely used in various applications. In this paper we propose a novel descriptor to describe human skeleton based on geometric algebra (GA) that ...
5
Geometric algebra rotors for skinned character animation blending
... of geometric algebra (GA) can perform at a faster level compared to standard (dual) quaternion geometry implementations for real-time character animation ...through geometric algebra, the ...
5
A geometric algebra animation method for mobile Augmented Reality simulations in digital heritage sites
... Rapid, recent advances in computer graphics, user interfaces and mobile computing, empower the creative industries with the inception of new mixed reality experiences that enhance the way we acquire, interact and display ...
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Analysis of Power Flow Under Non-Sinusoidal Conditions in the Presence of Harmonics and Interharmonics Using Geometric Algebra
... Geometric algebra has its origins in the work of Clifford and Grassman in the 19th ...are geometric objects, they all have direction, sense and ...the geometric product between vectors a = α 1 ...
21
Mesh Optimization for Maxwell's Equations with Respect to Anisotropic Materials Using Geometric Algebra
... Clifford’s Geometric Algebra (GA) in the context of discretization of Maxwell’s equations is closely related to the Cell Method [3], Discrete Exterior Calculus [10] and to the Finite Integration Technique ...
11
Power Factor Compensation in Non-Sinusoidal Circuits Using Geometric Algebra and Evolutionary Algorithms
... that geometric algebra, also known as Clifford algebra, can be applied to analyze electric ...that geometric algebra is more appropriate than the algebra of complex numbers for ...
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Power Factor Compensation in Non-Sinusoidal Circuits Using Geometric Algebra and Evolutionary Algorithms
... Quadrature current compensation in non-sinusoidal circuits using geometric algebra and evolutionary algorithms.. Francisco G1[r] ...
19
Color Edge Detection Hardware based on Geometric Algebra
... Modern techniques treat color images as separate monochrome images for processing. Partly, because there is no straightforward generalization of linear filters available for color. However the algorithms yield more ...
7
Physics Markup Approaches Based on Geometric Algebra Representations
... As physics must be represented mathematically there is a question as to how to consistently deal with various physics concepts. First one must consider the specific mathematical concepts necessary in expressing physical ...
12
Distributed Representations Based on Geometric Algebra: the Continuous Model
... Authors developed a new model of distributed representa- tions of data based on geometric algebra. Although the data representations of sentences encoded in this model may have varying lengths (as opposed ...
12
Geometric Algebra Primer. Jaap Suter
... Furthermore, geometric algebra provides the full background for quaternion theory, finally demonstrating that there is nothing four-dimensional about ...
66
Vectors and Beyond: Geometric Algebra and its Philosophical Significance
... of geometric algebra over the hotch-potch of theories that have come to be standardly applied in physics and engineering are disputes beneath the philosopher’s attention threshold, to be qualified as merely ...
15
An Interpretation of Relativistic Spin Entanglement Using Geometric Algebra
... the Bell states. Usually, the first sub-state in the first term is chosen to have the same spin direction for all four basis states, although whether that state is spin-up or spin-down seems to depend on the notation: ...
185
Experiments on Preserving Pieces of Information in a Given Order in Holographic Reduced Representations and the Continuous Geometric Algebra Model
... a geometric analogue to the method of loci which instructs to remember a list of items by associating each term with a distinctive location along a familiar ...
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