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View article: Computational workflows for natural and biomedical image processing based on hypercomplex algebras
Computational workflows for natural and biomedical image processing based on hypercomplex algebras Open
Quaternions, a type of hypercomplex number, can be applied to handling three-dimensional data, i.e., color images. Here, we demonstrate, by leveraging quaternions and the two-dimensional orthogonal planes split framework, image processing …
View article: Novel computational workflows for natural and biomedical image processing based on hypercomplex algebras
Novel computational workflows for natural and biomedical image processing based on hypercomplex algebras Open
Hypercomplex image processing extends conventional techniques in a unified paradigm encompassing algebraic and geometric principles. This work leverages quaternions and the two-dimensional orthogonal planes split framework (splitting of a …
View article: Survey of New Applications of Geometric Algebra
Survey of New Applications of Geometric Algebra Open
This survey introduces 101 new publications on applications of Clifford’s geometric algebras (GA) newly published during 2022 (until mid-January 2023). The selection of papers is based on a comprehensive search with Dimensions.ai, followed…
View article: Generalized uncertainty principles associated with the quaternionic offset linear canonical transform
Generalized uncertainty principles associated with the quaternionic offset linear canonical transform Open
The quaternionic offset linear canonical transform (QOLCT) can be thought as a generalization of the quaternionic linear canonical transform (QLCT). In this paper we define the QOLCT, we derive the relationship between the QOLCT and the qu…
View article: <b>An Introduction to Clifford Algebras and Spinors</b>. By Jayme Vaz Jr and Roldão da Rocha Jr. Oxford University Press, 2019. Paperback, pp. 256. Price GBP 34.99. ISBN 9780198836285.
<b>An Introduction to Clifford Algebras and Spinors</b>. By Jayme Vaz Jr and Roldão da Rocha Jr. Oxford University Press, 2019. Paperback, pp. 256. Price GBP 34.99. ISBN 9780198836285. Open
For crystallographers it may be of interest to know that J
View article: The orthogonal planes split of quaternions and its relation to quaternion geometry of rotations
The orthogonal planes split of quaternions and its relation to quaternion geometry of rotations Open
Recently the general orthogonal planes split with respect to any two pure unit quaternions f,g ∈ H, f2 = g2 = -1, including the case f = g, has proved extremely useful for the construction and geometric interpretation of general classes of…