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Geometric Algebra for the Twenty-First Century Cybernetics

Introduction to Geometric Algebra

Differentiation, Linear, and Multilinear Functions in Geometric Algebra

Geometric Calculus

Lie Algebras, Lie Groups, and Algebra of Incidence

2D, 3D, and 4D Geometric Algebras

Kinematics of the 2D and 3D Spaces

Conformal Geometric Algebra

The Geometric Algebras <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="367585_1_En_9_Chapter_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject> <EquationSource Format="TEX">$$G_{6,0,2}^+$$</EquationSource> </InlineEquation>, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="367585_1_En_9_Chapter_IEq2.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject> <EquationSource Format="TEX">$$G_{6,0,6}^+$$</EquationSource> </InlineEquation>

Programming Issues

Quaternion–Clifford Fourier and Wavelet Transforms

Geometric Algebra of Computer Vision

Geometric Neurocomputing

Applications of Lie Filters, Quaternion Fourier, and Wavelet Transforms

Invariants Theory in Computer Vision and Omnidirectional Vision

Geometric Algebra Tensor Voting, Hough Transform, Voting and Perception Using Conformal Geometric Algebra

Modeling and Registration of Medical Data

Applications in Neurocomputing

Neurocomputing for 2D Contour and 3D Surface Reconstruction

Clifford Algebras and Related Algebras