A survey of orthogonal moments for image representation: Theory, implementation, and evaluation

S Qi, Y Zhang, C Wang, J Zhou, X Cao - ACM Computing Surveys …, 2021 - dl.acm.org
Image representation is an important topic in computer vision and pattern recognition. It
plays a fundamental role in a range of applications toward understanding visual contents …

The quaternion LMS algorithm for adaptive filtering of hypercomplex processes

CC Took, DP Mandic - IEEE Transactions on Signal Processing, 2008 - ieeexplore.ieee.org
The quaternion least mean square (QLMS) algorithm is introduced for adaptive filtering of
three-and four-dimensional processes, such as those observed in atmospheric modeling …

Quaternion Fourier–Mellin moments for color images

LQ Guo, M Zhu - Pattern Recognition, 2011 - Elsevier
The quaternion Fourier–Mellin moments for describing color images are introduced, which
can be seen as the generalization of traditional Fourier–Mellin moments for gray-level …

Quaternion structural similarity: a new quality index for color images

A Kolaman, O Yadid-Pecht - IEEE Transactions on Image …, 2011 - ieeexplore.ieee.org
One of the most important issues for researchers developing image processing algorithms is
image quality. Methodical quality evaluation, by showing images to several human …

The theory of quaternion matrix derivatives

D Xu, DP Mandic - IEEE Transactions on Signal Processing, 2015 - ieeexplore.ieee.org
A systematic framework for the calculation of the derivatives of quaternion matrix functions
with respect to quaternion matrix variables is introduced. The proposed approach is …

[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 …

[图书][B] Advances in imaging and electron physics

PW Hawkes - 2004 - books.google.com
* A special volume devoted principally to therole of the late Sir Charles Oatley in the
development of the scanning electron microscopeings* It contains historical articles and …

Clifford multivector toolbox (for MATLAB)

SJ Sangwine, E Hitzer - Advances in Applied Clifford Algebras, 2017 - Springer
Abstract matlab® is a numerical computing environment oriented towards manipulation of
matrices and vectors (in the linear algebra sense, that is arrays of numbers). Until now, there …

Local quaternion Fourier transform and color image texture analysis

D Assefa, L Mansinha, KF Tiampo, H Rasmussen… - Signal Processing, 2010 - Elsevier
Color images can be treated as two-dimensional quaternion functions. For analysis of
quaternion images, a joint space-wavenumber localized quaternion S transform (QS) is …

A distributed quaternion Kalman filter with applications to smart grid and target tracking

SP Talebi, S Kanna, DP Mandic - IEEE Transactions on Signal …, 2016 - ieeexplore.ieee.org
Recent advances in sensor and communication technologies have made the deployment of
sensor networks in a variety of roles feasible, including smart grid management applications …