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Sangwine, Stephen J and Hitzer, Eckhard (2020) Polar decomposition of complexified quaternions and octonions. Advances in Applied Clifford Algebras, 30 (2). DOI https://doi.org/10.1007/s00006-020-1048-y
Hitzer, Eckhard and Sangwine, Stephen (2019) Foundations of Conic Conformal Geometric Algebra and Compact Versors for Rotation, Translation and Scaling. Advances in Applied Clifford Algebras, 29 (5). DOI https://doi.org/10.1007/s00006-019-1016-6
Sangwine, Stephen and Hitzer, Eckhard (2019) Polar decomposition of complexified quaternions and octonions. Technical Report. University of Essex, School of Computer Science and Electronic Engineering. (Unpublished)
Hitzer, Eckhard and Sangwine, Stephen (2019) 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, 29 (2). DOI https://doi.org/10.1007/s00006-019-0942-7
Yasmin, Shagufta and Sangwine, Stephen J (2018) Multi-directional colour edge detector using linear quaternion system convolution. IET Image Processing, 12 (7). pp. 1111-1116. DOI https://doi.org/10.1049/iet-ipr.2017.0921
Hitzer, Eckhard and Sangwine, Stephen (2017) Multivector and multivector matrix inverses in real Clifford algebras. Applied Mathematics and Computation, 311. pp. 375-389. DOI https://doi.org/10.1016/j.amc.2017.05.027
Fletcher, P and Sangwine, SJ (2017) The development of the quaternion wavelet transform. Signal Processing, 136. pp. 2-15. DOI https://doi.org/10.1016/j.sigpro.2016.12.025
Sangwine, Stephen J and Hitzer, Eckhard (2017) Clifford Multivector Toolbox (for MATLAB). Advances in Applied Clifford Algebras, 27 (1). pp. 539-558. DOI https://doi.org/10.1007/s00006-016-0666-x
Sangwine, Stephen J (2017) On harmonic analysis of vector-valued signals. Mathematical Methods in the Applied Sciences, 40 (1). pp. 22-30. DOI https://doi.org/10.1002/mma.3938
Hitzer, E and Sangwine, SJ (2016) Multivector and multivector matrix inverses in real Clifford algebras. UNSPECIFIED. CES-534, University of Essex, Colchester.
De Bie, H and De Schepper, N and Ell, TA and Rubrecht, K and Sangwine, SJ (2015) Connecting spatial and frequency domains for the quaternion Fourier transform. Applied Mathematics and Computation, 271. pp. 581-593. DOI https://doi.org/10.1016/j.amc.2015.09.045
Sangwine, Stephen J (2015) Octonion associators. Working Paper. arXiv. (Unpublished)
Sangwine, Stephen J (2015) Comments on ‘A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory’ by Minghui Wang and Wenhao Ma. Computer Physics Communications, 188. pp. 128-130. DOI https://doi.org/10.1016/j.cpc.2014.11.016
Ell, Todd A and Bihan, Nicolas Le and Sangwine, Stephen J (2014) Quaternion Fourier Transforms for Signal and Image Processing. Wiley, pp. 1-136. ISBN 9781848214781. Official URL: http://dx.doi.org/10.1002/9781118930908
Le Bihan, Nicolas and Sangwine, Stephen J and Ell, Todd A (2014) Instantaneous frequency and amplitude of orthocomplex modulated signals based on quaternion Fourier transform. Signal Processing, 94 (1). pp. 308-318. DOI https://doi.org/10.1016/j.sigpro.2013.06.028
Sangwine, SJ (2014) On harmonic analysis of vector-valued signals. arXiv.org.
Hitzer, E and Sangwine, SJ (2013) Preface. In: UNSPECIFIED, ? - ?.
Qadri, MY and Sangwine, SJ (2013) Multicore Technology: Architecture, Reconfiguration, and Modeling. CRC Press. ISBN 9781439880630. Official URL: http://dx.doi.org/10.1201/b15268
Sangwine, Stephen J (2013) Perspectives on Color Image Processing by Linear Vector Methods Using Projective Geometric Transformations. In: Advances in Imaging and Electron Physics. Elsevier, pp. 283-307. ISBN 978-0-12-407670-9. Official URL: http://dx.doi.org/10.1016/b978-0-12-407670-9.00006...
Hitzer, E and Sangwine, SJ (2013) Quaternion and Clifford Fourier Transforms and Wavelets. Trends in Mathematics . Springer, Basel. ISBN 978-3-0348-0602-2.
Hitzer, E and Sangwine, SJ (2013) Quaternion and Clifford Fourier Transforms and Wavelets. Quaternion and Clifford Fourier Transforms and Wavelets, abs/13. pp. 1-338. DOI https://doi.org/10.1007/978-3-0348-0603-9
Bihan, Nicolas Le and Sangwine, Stephen J (2013) Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals. In: UNSPECIFIED, ? - ?.
Sangwine, Stephen J and Ell, Todd A (2012) Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler’s formula. Applied Mathematics and Computation, 219 (2). pp. 644-655. DOI https://doi.org/10.1016/j.amc.2012.06.055
Sangwine, Stephen J and Ell, Todd A and Le Bihan, Nicolas (2011) Fundamental Representations and Algebraic Properties of Biquaternions or Complexified Quaternions. Advances in Applied Clifford Algebras, 21 (3). pp. 607-636. DOI https://doi.org/10.1007/s00006-010-0263-3
Sangwine, Stephen J and Alfsmann, Daniel (2010) Determination of the Biquaternion Divisors of Zero, Including the Idempotents and Nilpotents. Advances in Applied Clifford Algebras, 20 (2). pp. 401-410. DOI https://doi.org/10.1007/s00006-010-0202-3
Sangwine, Stephen J and Bihan, Nicolas Le (2010) Quaternion Polar Representation with a Complex Modulus and Complex Argument Inspired by the Cayley-Dickson Form. Advances in Applied Clifford Algebras, 20 (1). pp. 111-120. DOI https://doi.org/10.1007/s00006-008-0128-1
Sangwine, SJ and Ell, TA and Le Bihan, N (2009) Hypercomplex models and processing of vector images. In: Multivariate Image Processing. ISTE/Wiley, pp. 407-436. ISBN 978-1-84821-139-1.
Said, S and Le Bihan, N and Sangwine, SJ (2008) Fast Complexified Quaternion Fourier Transform. IEEE Transactions on Signal Processing, 56 (4). pp. 1522-1531. DOI https://doi.org/10.1109/tsp.2007.910477
Ell, Todd A and Sangwine, Stephen J (2007) Quaternion involutions and anti-involutions. Computers & Mathematics with Applications, 53 (1). pp. 137-143. DOI https://doi.org/10.1016/j.camwa.2006.10.029