zone3

secondary-primary-menu

single-column

footer-menu

Academic Institutions

K-12

Public Libraries

Government and Special Libraries

Statewide Programs

Institutions

Databases

Primary Sources

Digital Humanities Tools

eLearning

Schools/K-12 Curriculum

Books

Large Print Books by Thorndike Press

Products

Find Your Rep

Product Support

Technical Support

Customer Support

Admin Tools

Accessibility Policy

Support

About Us

Blogs

Press Center

Events

News

Careers

Partnerships

Contact Us

Our Company

Request a Trial

Would you like to go to the Gale {{RECOMMENDED_COUNTRY}} site instead?

It looks like you're visiting from {{DETECTED_COUNTRY}}.

main

products

Marketing materials, training documents, discovery services

cengage:card

FIND YOUR SALES REPRESENTATIVE

cengage:column

Get marketing materials, training documents, discovery services.

PRODUCT SUPPORT

CUSTOMER SUPPORT

Report technical issues, errors, check system status

TECHNICAL SUPPORT

Manage product preferences, generate usage reports, simplify administrative tasks.

ADMIN TOOLS

support

header

cengage:galethorndikeseo

config

footer-social-menu-component

footer-legal-menu

Terms of use

Privacy

header-component

mega-menu

Browse by Institution Type

Browse by Product Type

secondary-account-menu

footer

secondary-storefront-menu

gale-footer

footer-social-menu

Sign Up for Emails

CONNECT WITH GALE

Stay up-to-date with the latest Gale news, exclusive offers, and more.

facebook

linkedin

instagram

youtube

SOCIAL ICONS

FIND YOUR REP

support-order-2

zone1

Profile

Orders

Wish List

Fast Order Entry

My Account

International

North America

China

Japan

Latin America

Brazil

Region

Set your region:

container

footer-legal-menu-component

footer-menu-component

You may already have access to Gale content through your institution.

STUDENTS AND RESEARCHERS

support-order-1

Account Information

bundle-connector

zone2

%1 products have been added to your cart but %2 have been backordered and will be fulfilled when stock is available

Product on backorder

Current quantity limit is [maxProductQuantity], please, navigate to the cart page and change quantity of product

You will be able to resubmit promo in ${countdown} seconds. test

Please note that the taxes displayed on our website are estimated and subject to adjustment. The actual tax charges will be determined and settled during the final invoicing of your order

product-detail-component

Quaternion and Clifford Fourier Transforms and Wavelets

TM: QUATERNION & CLIFFORD FOURIER TRANSFORMS & WAVELETS

Physics

Mathematics & Science

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering. This edited volume presents the state of the art in these hypercomplex transformations. The Clifford algebras unify Hamilton's quaternions with Grassmann algebra. A Clifford algebra is a complete algebra of a vector space and all its subspaces including the measurement of volumes and dihedral angles between any pair of subspaces. Quaternion and Clifford algebras permit the systematic generalization of many known concepts.
 
This book provides comprehensive insights into current developments and applications including their performance and evaluation. Mathematically, it indicates where further investigation is required. For instance, attention is drawn to the matrix isomorphisms for hypercomplex algebras, which will help readers to see that software implementations are within our grasp.
 
It also contributes to a growing unification of ideas and notation across the expanding field of hypercomplex transforms and wavelets. The first chapter provides a historical background and an overview of the relevant literature, and shows how the contributions that follow relate to each other and to prior work. The book will be a valuable resource for graduate students as well as for scientists and engineers.

POST SECONDARY FOUR YEAR

COLFR

COLJR

COLSO

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Other Frontmatter.
Other Frontmatter.
Title Page.
Copyright Page.
Contents.
Preface.
History of Quaternion and Clifford-Fourier Transforms and Wavelets.
1: Quaternions.
2: Quaternion Fourier Transform: Re-Tooling Image and Signal Processing Analysis.
3: The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.
4: Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.
5: Quaternionic Local Phase for Low-Level Image Processing Using Atomic Functions.
6: Bochner&#x0027;s Theorems in the Framework of Quaternion Analysis.
7: Bochner&#x2013;Minlos Theorem and Quaternion Fourier Transform.
8: Clifford Algebra.
9: Square Roots of &#x2212;1 in Real Clifford Algebras.
10: A General Geometric Fourier Transform.
11: Clifford&#x2013;Fourier Transform and Spinor Representation of Images.
12: Analytic Video (2D + t) Signals 10 Using Clifford-Fourier Transforms in Multiquaternion Grassmann-Hamilton-Clifford Algebras.
13: Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications.
14: Colour Extension of Monogenic Wavelets with Geometric Algebra: Application to Color Image Denoising.
15: Seeing the Invisible and Maxwell&#x0027;s Equations.
16: A Generalized Windowed Fourier Trans- 14 form in Real Clifford Algebra C&#x2113;0,n.
17: The Balian&#x2013;Low Theorem for the Windowed Clifford&#x2013;Fourier Transform.
18: Sparse Representation of Signals in Hardy Space.
Index.

Quaternion and Clifford Fourier Transforms and Wavelets.css-1p8rvzy{position:absolute;padding-left:8px;}

Quaternion and Clifford Fourier Transforms and Wavelets