عنوان

Quaternion and Clifford Fourier Transforms and Wavelet

شابک

9783034806039

کد کشور

IR

شماره

EN-52396

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Quaternion and Clifford Fourier Transforms and Wavelet

نام عام مواد

[Book]

ساير اطلاعات عنواني

:[delta

نام نخستين پديدآور

/ edited by Eckhard Hitzer, Stephen J. Sangwine

محل نشرو پخش و غیره

Basel

نام ناشر، پخش کننده و غيره

: Springer Basel :Imprint: Birkh?nuser,

تاریخ نشرو بخش و غیره

, 2013.

نام خاص و کميت اثر

XXVII, 338 p. 76 illus., 44 illus. in color., online resource.

عنوان فروست

(Trends in Mathematics)

متن يادداشت

Electronic

متن يادداشت

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.

متن يادداشت

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.?╗╣

عنوان

Trends in Mathematics

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Computer vision

موضوع مستند نشده

Matrix theory

موضوع مستند نشده

Fourier analysis

موضوع مستند نشده

Numerical analysis

موضوع مستند نشده

Number theory

موضوع مستند نشده

Electronic books

شماره رده

مستند نام اشخاص تاييد نشده

Hitzer, Eckhard.

مستند نام اشخاص تاييد نشده

Sangwine, Stephen J

مستند نام اشخاص تاييد نشده

SpringerLink (Online service)

کشور

ایران

نام ميزبان

9783034806022.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9783034806022.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y