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Empowering Novel Geometric Algebra for Graphics and Engineering

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Cover of 'Empowering Novel Geometric Algebra for Graphics and Engineering'

Table of Contents

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    Book Overview
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    Chapter 1 The Supergeometric Algebra: The Square Root of the Geometric Algebra
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    Chapter 2 Calculation of the Exponential in Arbitrary $$ Cl _{p,q}$$ Clifford Algebra
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    Chapter 3 On Noncommutative Vieta Theorem in Geometric Algebras
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    Chapter 4 Conjecture on Characterisation of Bijective 3D Digitized Reflections and Rotations
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    Chapter 5 Complementary Orientations in Geometric Algebras
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    Chapter 6 On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints
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    Chapter 7 Using a Graph Transformer Network to Predict 3D Coordinates of Proteins via Geometric Algebra Modelling
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    Chapter 8 How Does Geometric Algebra Support Digital Twin—A Case Study with the Passive Infrared Sensor Scene
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    Chapter 9 Beurling’s Theorem Associated with Octonion Algebra Valued Signals
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    Chapter 10 Embedding of Octonion Fourier Transform in Geometric Algebra of  $$\mathbb {R}^3$$ and Polar Representations of Octonion Analytic Signals
Attention for Chapter 4: Conjecture on Characterisation of Bijective 3D Digitized Reflections and Rotations
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Chapter title
Conjecture on Characterisation of Bijective 3D Digitized Reflections and Rotations
Chapter number 4
Book title
Empowering Novel Geometric Algebra for Graphics and Engineering
Published by
Springer, Cham, January 2023
DOI 10.1007/978-3-031-30923-6_4
Book ISBNs
978-3-03-130922-9, 978-3-03-130923-6
Authors

Breuils, Stéphane, Kenmochi, Yukiko, Andres, Eric, Sugimoto, Akihiro

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