INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783034806039
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52396
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Quaternion and Clifford Fourier Transforms and Wavelet
General Material Designation
[Book]
Other Title Information
:[delta
First Statement of Responsibility
/ edited by Eckhard Hitzer, Stephen J. Sangwine
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Basel
Name of Publisher, Distributor, etc.
: Springer Basel :Imprint: Birkh?nuser,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XXVII, 338 p. 76 illus., 44 illus. in color., online resource.
SERIES
Series Title
(Trends in Mathematics)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
Quaternion andClifford 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.
Text of Note
Preface.-History of Quaternion and Clifford-Fourier Transforms and Wavelets -- Part I: Quaternions.-1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis.-2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.-3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.-4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.-5 Bochner's Theorems in the Framework of Quaternion Analysis.-6 Bochner-Minlos Theorem and Quaternion Fourier Transform -- Part II: Clifford Algebra.-7 Square Roots of -1 in Real Clifford Algebras.-8 A General Geometric Fourier Transform.-9 Clifford-Fourier Transform and Spinor Representation of Images -- 10 Analytic Video (2D+t) Signals Using Clifford-Fourier Transforms in Multiquaternion Grassmann-Hamilton-Clifford Algebras -- 11 Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications -- 12 Color Extension of Monogenic Wavelets with Geometric Algebra: Application to Color Image Denoising -- 13 Seeing the Invisible and Maxwell's Equations -- 14 A Generalized Windowed Fourier Transform in Real Clifford Algebra Cl_n ,0 -- 15 The Balian-Low theorem for the Windowed Clifford-Fourier Transform -- 16 Sparse Representation of Signals in Hardy Space. - Index.?╗╣
SERIES
Title
Trends in Mathematics
TOPICAL NAME USED AS SUBJECT
Mathematics
Computer vision
Matrix theory
Fourier analysis
Numerical analysis
Number theory
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hitzer, Eckhard.
PERSONAL NAME - SECONDARY RESPONSIBILITY
Sangwine, Stephen J
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783034806022.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783034806022.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
