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Quaternion Fourier transforms for signal and image processing

2014

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Polar Decomposition of Complexified Quaternions and Octonions

Advances in applied Clifford algebras, 2020-04, Vol.30 (2), Article 23

2020

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Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler’s formula

Applied mathematics and computation, 2012-10, Vol.219 (2), p.644-655

2012

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Quaternion and Clifford Fourier Transforms and Wavelets

2013, 2013

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Foundations of Conic Conformal Geometric Algebra and Compact Versors for Rotation, Translation and Scaling

Advances in applied Clifford algebras, 2019-11, Vol.29 (5), p.1-16, Article 96

2019

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Quaternion involutions and anti-involutions

Computers & mathematics with applications (1987), 2007, Vol.53 (1), p.137-143

2007

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Hypercomplex Fourier Transforms of Color Images

IEEE transactions on image processing, 2007-01, Vol.16 (1), p.22-35

2007

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Multicore Technology: Architecture, Reconfiguration, and Modeling

1, 2014

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Clifford Multivector Toolbox (for MATLAB)

Advances in applied Clifford algebras, 2017-03, Vol.27 (1), p.539-558

2017

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Construction of Multivector Inverse for Clifford Algebras Over 2 m + 1 -Dimensional Vector Spaces from Multivector Inverse for Clifford Algebras Over 2m-Dimensional Vector Spaces

Advances in applied Clifford algebras, 2019-04, Vol.29 (2), p.1-22

2019

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Biquaternion (Complexified Quaternion) Roots of −1

Advances in applied Clifford algebras, 2006-02, Vol.16 (1), p.63-68

Sangwine, Stephen J.

2006

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On harmonic analysis of vector‐valued signals

Mathematical methods in the applied sciences, 2017-01, Vol.40 (1), p.22-30

Sangwine, Stephen J.

2017

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Fast Complexified Quaternion Fourier Transform

IEEE transactions on signal processing, 2008-04, Vol.56 (4), p.1522-1531

2008

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Multi-directional colour edge detector using LQS convolution

IET image processing, 2018-07, Vol.12 (7), p.1111-1116

2018

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Instantaneous frequency and amplitude of orthocomplex modulated signals based on quaternion Fourier transform

Signal processing, 2014-01, Vol.94 (January), p.308-318

2014

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Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations

Applied mathematics and computation, 2006-11, Vol.182 (1), p.727-738

2006

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History of Quaternion and Clifford-Fourier Transforms and Wavelets

Quaternion and Clifford Fourier Transforms and Wavelets, 2013, p.xxvii

2013

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Hypercomplex correlation techniques for vector images

IEEE transactions on signal processing, 2003-07, Vol.51 (7), p.1941-1953

2003

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The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations

Quaternion and Clifford Fourier Transforms and Wavelets, 2013, p.39

2013

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Jacobi method for quaternion matrix singular value decomposition

Applied mathematics and computation, 2007-04, Vol.187 (2), p.1265-1271

2007

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Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler's formula

Applied mathematics and computation, 2012-10, Vol.219 (2), p.644-655

2012

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Comments on ‘A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory’ by Minghui Wang and Wenhao Ma

Computer physics communications, 2015-03, Vol.188, p.128-130

Sangwine, Stephen J.

2015

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Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals

Quaternion and Clifford Fourier Transforms and Wavelets, 2013, p.56

2013

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Construction of Multivector Inverse for Clifford Algebras Over 2m+1-Dimensional Vector Spaces from Multivector Inverse for Clifford Algebras Over 2m-Dimensional Vector Spaces

Advances in applied Clifford algebras, 2019-04, Vol.29 (2)

2019

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Construction of Multivector Inverse for Clifford Algebras Over $$2m+1$$ 2 m + 1 -Dimensional Vector Spaces from Multivector Inverse for Clifford Algebras Over 2m-Dimensional Vector Spaces

Advances in applied Clifford algebras, 2019-04, Vol.29 (2), Article 29

2019

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Quaternion Fourier transforms for signal and image processing

Polar Decomposition of Complexified Quaternions and Octonions

Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler’s formula

Quaternion and Clifford Fourier Transforms and Wavelets

Foundations of Conic Conformal Geometric Algebra and Compact Versors for Rotation, Translation and Scaling

Quaternion involutions and anti-involutions

Hypercomplex Fourier Transforms of Color Images

Multicore Technology: Architecture, Reconfiguration, and Modeling

Clifford Multivector Toolbox (for MATLAB)

Construction of Multivector Inverse for Clifford Algebras Over 2 m + 1 -Dimensional Vector Spaces from Multivector Inverse for Clifford Algebras Over 2m-Dimensional Vector Spaces

Biquaternion (Complexified Quaternion) Roots of −1

On harmonic analysis of vector‐valued signals

Fast Complexified Quaternion Fourier Transform

Multi-directional colour edge detector using LQS convolution

Instantaneous frequency and amplitude of orthocomplex modulated signals based on quaternion Fourier transform

Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations

History of Quaternion and Clifford-Fourier Transforms and Wavelets

Hypercomplex correlation techniques for vector images

The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations

Jacobi method for quaternion matrix singular value decomposition

Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler's formula

Comments on ‘A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory’ by Minghui Wang and Wenhao Ma

Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals

Construction of Multivector Inverse for Clifford Algebras Over 2m+1-Dimensional Vector Spaces from Multivector Inverse for Clifford Algebras Over 2m-Dimensional Vector Spaces

Construction of Multivector Inverse for Clifford Algebras Over $$2m+1$$ 2 m + 1 -Dimensional Vector Spaces from Multivector Inverse for Clifford Algebras Over 2m-Dimensional Vector Spaces

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