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Found 53 Documents (Results 1–53)

Embedding of octonion Fourier transform in geometric algebra of \(\mathbb{R}^3\) and polar representations of octonion analytic signals. (English) Zbl 1520.15013

Hitzer, Eckhard (ed.) et al., Empowering novel geometric algebra for graphics and engineering. 7th international workshop, ENGAGE 2022, virtual event, September 12, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13862, 123-134 (2023).
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Analytic video \((2\mathrm D+t)\) signals using Clifford-Fourier transforms in multiquaternion Grassmann-Hamilton-Clifford algebras. (English) Zbl 1273.15024

Hitzer, Eckhard (ed.) et al., Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). Trends in Mathematics, 197-219 (2013).
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Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. (English) Zbl 1268.00016

Trends in Mathematics. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). xxvii, 338 p. (2013).
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Real Clifford algebra \(Cl_{n,0}, n = 2\), 3(mod 4) wavelet transform. (English) Zbl 1179.42029

Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 781-784 (2009).
MSC:  42C40 15A66 94A12
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Clifford algebras as unified language for image processing and pattern recognition. (English) Zbl 1090.15019

Byrnes, Jim (ed.) et al., Computational noncommutative algebra and applications. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Italy, July 6–19, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1983-1/pbk; 1-4020-1982-3/hbk; 1-4020-2307-3/e-book). NATO Science Series II: Mathematics, Physics and Chemistry 136, 197-225 (2004).
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Paley-Wiener theorems and Shannon sampling in the Clifford analysis setting. (English) Zbl 1103.94012

Abłamowicz, Rafał (ed.), Clifford algebras. Applications to mathematics, physics, and engineering. Papers from the 6th international conference on Clifford algebras and their applications in mathematical physics, Cookeville, TN, USA, May 20–25, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3525-4/hbk). Progress in Mathematical Physics 34, 115-124 (2004).
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Geometric algebra in quantum information processing. (English) Zbl 1063.81029

Lomonaco, Samuel J. jun. (ed.) et al., Quantum computation and information. AMS special session, Washington, DC, USA, January 19–21, 2000. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2140-7). Contemp. Math. 305, 81-100 (2002).
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Constrained optimization using geometric algebra and its application to signal analysis. (English) Zbl 1054.15025

Procházka, A. (ed.) et al., Signal analysis and prediction. Based upon selected contributions presented at the 1st European conference on signal analysis and prediction, ECSAP-97, Prague, Czech Republic. Boston, MA: Birkhäuser (ISBN 0-8176-4042-8/hbk). Applied and Numerical Harmonic Analysis, 79-88 (1998).
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