Empowering Novel Geometric Algebra for Graphics and Engineering

Chapter 1 The Supergeometric Algebra: The Square Root of the Geometric Algebra

Chapter 2 Calculation of the Exponential in Arbitrary $$ Cl _{p,q}$$ Clifford Algebra

Chapter 3 On Noncommutative Vieta Theorem in Geometric Algebras

Chapter 4 Conjecture on Characterisation of Bijective 3D Digitized Reflections and Rotations

Chapter 5 Complementary Orientations in Geometric Algebras

Chapter 6 On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints

Chapter 8 How Does Geometric Algebra Support Digital Twin—A Case Study with the Passive Infrared Sensor Scene

Chapter 9 Beurling’s Theorem Associated with Octonion Algebra Valued Signals

Chapter 10 Embedding of Octonion Fourier Transform in Geometric Algebra of  $$\mathbb {R}^3$$ and Polar Representations of Octonion Analytic Signals