Keyword

hypercomplex numbers

Description: Elements of real unital algebras that generalize complex numbers and are studied in mathematics for their algebraic structures and applications.

Primary topic: Algebraic and Geometric Analysis (58%)

Wikidata ID: wiki/Q837414

OpenAlex ID: keywords/hypercomplex-numbers

Hypercomplex Fourier Transforms of Color Images

2006 · Todd A. Ell, Stephen J. Sangwine · IEEE Transactions on Image Processing · 640

An introduction to theoretical kinematics

1990 · Choice Reviews Online · 635

A Global Quality Measurement of Pan-Sharpened Multispectral Imagery

2004 · L. Alparone, S. Baronti, et al. · IEEE Geoscience and Remote Sensing Letters · 589

Hypercomplex Quality Assessment of Multi/Hyperspectral Images

2009 · A. Garzelli, F. Nencini · IEEE Geoscience and Remote Sensing Letters · 378

Fourier transforms of colour images usingquaternion or hypercomplex, numbers

1996 · S.J. Sangwine · Electronics Letters · 353

On Quaternions, or on a New System of Imaginaries in Algebra

2000 · William Hamilton · 323

Hypercomplex Numbers: An Elementary Introduction to Algebras

1989 · I. L. Kantor, A. S. Solodovnikov · Medical Entomology and Zoology · 260

Fourth-rank tensors of the thirty-two crystal classes: multiplication tables

1984 · L. J. Walpole · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 258

Hypercomplex Numbers

1989 · I. L. Kantor, A. S. Solodovnikov · Springer eBooks · 242

Lectures on quaternions

1853 · William Hamilton · 236

Hypercomplex Spectral Signal Representations for the Processing and Analysis of Images

1999 · Thomas Bülow · 219

II. On quaternions; or on a new system of imaginaries in algebra

1844 · William Rowan Hamilton · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 188

LXXVIII. On quaternions; or on a new system of imaginaries in Algebra

1844 · William Rowan Hamilton · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 159

On Hypercomplex Numbers

1908 · J. H. MacLagan Wedderburn · Proceedings of the London Mathematical Society · 155

On the Algebras Formed by the Cayley-Dickson Process

1954 · R. D. Schafer · American Journal of Mathematics · 153

The Quaternion Calculus

1973 · C. A. Deavours · American Mathematical Monthly · 144

Color image watermarking using quaternion Fourier transform

2003 · P. Bas, N. Le Bihan, et al. · IEEE International Conference on Acoustics Speech and Signal Processing · 140

Geometry of Generalized Complex Numbers

2004 · Anthony A. Harkin, Joseph B. Harkin · Mathematics Magazine · 130

Bicomplex Holomorphic Functions

2015 · M. Elena Luna-Elizarrarás, Michael Shapiro, et al. · Frontiers in mathematics · 129

Applied quaternionic analysis

2003 · Vladislav V. Kravchenko · Heldermann eBooks · 126

An elementary treatise on quaternions

2024 · Tait, Peter Guthrie, 1831-1901 · 124

Associative Memory in Quaternionic Hopfield Neural Network

2008 · TEIJIRO ISOKAWA, HARUHIKO NISHIMURA, et al. · International Journal of Neural Systems · 124

Extending special relativity via the perplex numbers

1986 · Paul Fjelstad · American Journal of Physics · 118

The roots of a split quaternion

2008 · M. Özdemir · Applied Mathematics Letters · 104

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Hypercomplex numbers in digital signal processing

2002 · H.-D. Schutte, J. Wenzel · IEEE International Symposium on Circuits and Systems proceedings · 88

Works count: 1,535

Citation count: 11,180