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06/10/2013
Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation and its Efficiency
Correlation is a common technique for the detection of shifts. Its gener...
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06/10/2013
The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
The two-sided quaternionic Fourier transformation (QFT) was introduced i...
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06/10/2013
New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford
This paper shows how beginning with Justus Grassmann's work, Hermann Gra...
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06/07/2013
Clifford Fourier-Mellin transform with two real square roots of -1 in Cl(p,q), p+q=2
We describe a non-commutative generalization of the complex Fourier-Mell...
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06/07/2013
Algebraic foundations of split hypercomplex nonlinear adaptive filtering
A split hypercomplex learning algorithm for the training of nonlinear fi...
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06/07/2013
Quaternionic Fourier-Mellin Transform
In this contribution we generalize the classical Fourier Mellin transfor...
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06/07/2013
Non-constant bounded holomorphic functions of hyperbolic numbers - Candidates for hyperbolic activation functions
The Liouville theorem states that bounded holomorphic complex functions ...
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06/07/2013
OPS-QFTs: A new type of quaternion Fourier transforms based on the orthogonal planes split with one or two general pure quaternions
We explain the orthogonal planes split (OPS) of quaternions based on the...
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06/07/2013
New Views of Crystal Symmetry
Already Hermann Grassmann's father Justus (1829, 1830) published two wor...
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06/06/2013
Geometric operations implemented by conformal geometric algebra neural nodes
Geometric algebra is an optimal frame work for calculating with vectors....
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06/05/2013
Quaternion Fourier Transform on Quaternion Fields and Generalizations
We treat the quaternionic Fourier transform (QFT) applied to quaternion ...
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05/24/2013