A survey on quaternion algebra and geometric algebra applications in engineering and computer science 1995–2020
E Bayro-Corrochano - IEEE Access, 2021 - ieeexplore.ieee.org
Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics,
computer science, and engineering. This review presents a comprehensive study of works …
computer science, and engineering. This review presents a comprehensive study of works …
Quaternion convolutional neural networks
Neural networks in the real domain have been studied for a long time and achieved
promising results in many vision tasks for recent years. However, the extensions of the …
promising results in many vision tasks for recent years. However, the extensions of the …
Color image analysis by quaternion-type moments
In this paper, by using the quaternion algebra, the conventional complex-type moments
(CTMs) for gray-scale images are generalized to color images as quaternion-type moments …
(CTMs) for gray-scale images are generalized to color images as quaternion-type moments …
Geometric algebra applications in geospatial artificial intelligence and remote sensing image processing
With the increasing demand for multidimensional data processing, Geometric algebra (GA)
has attracted more and more attention in the field of geographical information systems. GA …
has attracted more and more attention in the field of geographical information systems. GA …
Image fusion using quaternion wavelet transform and multiple features
Multi-scale-based image fusion is one of main fusion methods, in which multi-scale
decomposition tool and feature extraction play very important roles. The quaternion wavelet …
decomposition tool and feature extraction play very important roles. The quaternion wavelet …
[HTML][HTML] An uncertainty principle for quaternion Fourier transform
We review the quaternionic Fourier transform (QFT). Using the properties of the QFT we
establish an uncertainty principle for the right-sided QFT. This uncertainty principle …
establish an uncertainty principle for the right-sided QFT. This uncertainty principle …
Coherent multiscale image processing using dual-tree quaternion wavelets
WL Chan, H Choi, RG Baraniuk - IEEE Transactions on Image …, 2008 - ieeexplore.ieee.org
The dual-tree quaternion wavelet transform (QWT) is a new multiscale analysis tool for
geometric image features. The QWT is a near shift-invariant tight frame representation …
geometric image features. The QWT is a near shift-invariant tight frame representation …
Geometric correction based color image watermarking using fuzzy least squares support vector machine and Bessel K form distribution
C Wang, X Wang, C Zhang, Z Xia - Signal Processing, 2017 - Elsevier
This paper presents a robust color image watermarking algorithm based on fuzzy least
squares support vector machine (FLS-SVM) and Bessel K form (BKF) distribution, which is a …
squares support vector machine (FLS-SVM) and Bessel K form (BKF) distribution, which is a …
On uncertainty principle for quaternionic linear canonical transform
We generalize the linear canonical transform (LCT) to quaternion‐valued signals, known as
the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we …
the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we …
[图书][B] Quaternion and Clifford Fourier Transforms
E Hitzer - 2021 - taylorfrancis.com
Quaternion and Clifford Fourier Transforms describes the development of quaternion and
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …