Geometric Multivector Analysis

Geometric Multivector Analysis

Author: Andreas Rosén

Publisher: Springer Nature

ISBN: 9783030314118

Category: Mathematics

Page: 465

View: 840

This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects.

Advanced Color Image Processing and Analysis

Advanced Color Image Processing and Analysis

Author: Christine Fernandez-Maloigne

Publisher: Springer Science & Business Media

ISBN: 9781441961907

Category: Technology & Engineering

Page: 515

View: 469

k=0 〈M〉k (6.6) with 〈M〉k the k-vector part of any multivector M i.e., the grade k operator. The Geometric product is an associative law and distributive over the addition of multivectors. In general, the result of the geometric ...

Clifford Algebra to Geometric Calculus

Clifford Algebra to Geometric Calculus

Author: David Hestenes

Publisher: Springer Science & Business Media

ISBN: 9027725616

Category: Mathematics

Page: 340

View: 173

Matrix algebra has been called "the arithmetic of higher mathematics" [Be].

Signal Analysis and Prediction

Signal Analysis and Prediction

Author: Ales Prochazka

Publisher: Springer Science & Business Media

ISBN: 9781461217688

Category: Technology & Engineering

Page: 502

View: 490

The operation of reversion reverses the order of vectors in any multivector. ... 5.2 Linear Algebra and Multivector Calculus Geometric algebra (GA) has very powerful associated linear algebra and calculus frameworks and is therefore a ...

Clifford Algebra to Geometric Calculus

Clifford Algebra to Geometric Calculus

Author: D. Hestenes

Publisher: Springer Science & Business Media

ISBN: 9789400962927

Category: Science

Page: 314

View: 220

The study of how a linear function affects the grade of a multivector, reduces to the study of multiforms. ... applications of multiforms in later chapters, we concentrate on the analysis of multiforms in the balance of this section.

Statistical and Geometrical Approaches to Visual Motion Analysis

Statistical and Geometrical Approaches to Visual Motion Analysis

Author: Daniel Cremers

Publisher: Springer Science & Business Media

ISBN: 9783642030611

Category: Computers

Page: 323

View: 627

Low level two-dimensional image analysis is often the first step of many Computer Vision tasks. ... processing approaches such as the monogenic signal, the structure multivector and the monogenic curvature tensor are being analyzed.

Geometric Algebra with Applications in Engineering

Geometric Algebra with Applications in Engineering

Author: Christian Perwass

Publisher: Springer Science & Business Media

ISBN: 9783540890683

Category: Computers

Page: 386

View: 929

In particular, readers who are interested in the geometric representation of multivectors, as discussed in Chap. ... Some additional interesting features of CLUCALC are: 0 automatic analysis and visualization of multivectors with ...

Progress in Pattern Recognition, Image Analysis and Applications

Progress in Pattern Recognition, Image Analysis and Applications

Author: Alberto Sanfeliu

Publisher: Springer Science & Business Media

ISBN: 9783540235279

Category: Computers

Page: 720

View: 861

Any multivector can be expressed in terms of this basis. In this paper we will specify a geometric algebra Gn of the n dimensional space by Gp,q,r, where p, q and r stand for the number of basis vector which squares to 1, ...

Quaternion and Clifford Fourier Transforms

Quaternion and Clifford Fourier Transforms

Author: Eckhard Hitzer

Publisher: CRC Press

ISBN: 9781000429343

Category: Mathematics

Page: 474

View: 539

2.7 2.6.3 Overview of Clifford's geometric algebra of the 3D Euclidean space 47 2.6.3.1 Explicit multiplication ... for multivector square root computations 68 2.7.3.2 Geometric multivector square roots of −1 70 2.7.3.3 Summary on ...

Wavelet Analysis and Applications

Wavelet Analysis and Applications

Author: Tao Qian

Publisher: Springer Science & Business Media

ISBN: 9783764377786

Category: Mathematics

Page: 574

View: 849

First, the basic concepts of the multivector functions, vector differential and vector derivative in geometric algebra are introduced. Second, we define a generalized real Fourier transform on Clifford multivector-valued functions (f: ...