S. Sangwine: On harmonic analysis of vector-valued signals


Authors: Stephen J. Sangwine

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WS: Discrete and Continuous Quaternionic and Clifford analysis at ICCA10, Tartu, Estonia, 4-9 Aug. 2014


Organizers: Swanhild Bernstein, TU Bergakademie Freiberg,
Germany; Uwe Kähler, Universidade de Aveiro, Portugal Continue reading

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Browne: Grassmann Algebra, Vol. 1 Foundations


Grassmann Algebra
Volume 1: Foundations
Exploring extended vector algebra with Mathematica

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Opfer+Janovská: The algebraic Riccati equation for quaternions


Gerhard Opfer, Drahoslava Janovská, Advances in Applied Clifford Algebras, 23 (2013), 907-918, Hamburger Beiträge zur Angewandten Mathematik, Preprint 2013-04, May 2013, 10 p., dedicated to Ivo Marek on the occasion of his 80th birthday,

Download: The algebraic Riccati equation for quaternions

Abstract: We will present the general solution of the algebraic Riccati equation for the quaternionic case, Continue reading

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Opfer+Janovská: Linear equations and the Kronecker product in coquaternions


Gerhard Opfer, Drahoslava Janovská, Mitteilungen der Mathematischen Gesellschaft Hamburg, (33) 2013, 181-196, Hamburger Beiträge zur Angewandten Mathematik, Preprint 2013-05, May 2013, 13 p., dedicated to Lothar Reichel on the occasion of his 60th birthday.

Download: Linear equations and the Kronecker product in coquaternions

Abstract: We present the solution of the general linear system in n coquaternionic variables Continue reading

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Xu et al: An Ordered-Patch-Based Image Classification Approach on the Image Grassmannian Manifold


Chunyan Xu, Tianjiang Wang, Junbin Gao, Shougang Cao, Wenbing Tao, and Fang Liu, IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, VOL. 25, NO. 4, APRIL 2014, pp. 728-737.
Abstract: This paper presents an ordered-patch-based image classification framework integrating the image Grassmannian manifold to address handwritten digit recognition, face recognition, and scene recognition problems. Continue reading

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Eelbode+Hitzer: Operator Exponentials for the Cli fford Fourier Transform on Multivector Fields


Authors: David Eelbode, Eckhard Hitzer

Abstract: This paper briefly reviews the notion of Clifford’s geometric algebras and vector to multivector functions; as well as the field of Clifford analysis (function theory of the Dirac operator). In Clifford Fourier transformations (CFT) Continue reading

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