Quaternions: History, Theory, and Implementation

Explore the fascinating world of quaternions, from their historical roots to their powerful applications in rotations, interpolation, and more.

Introduction to Quaternions

Unit 1: The Genesis of Quaternions

Unit 2: Quaternion Foundations

Unit 3: Quaternions and Complex Numbers

Quaternion Arithmetic and Properties

Unit 1: Introduction to Quaternion Arithmetic

Unit 2: Quaternion Multiplication and Division

Unit 3: Norms, Conjugates, and Unit Quaternions

Representing Rotations with Quaternions

Unit 1: Quaternion Fundamentals

Unit 2: Quaternion-Rotation Conversion

Unit 3: Advantages and Avoiding Pitfalls

Quaternion Interpolation and Applications

Unit 1: Introduction to Quaternion Interpolation

Unit 2: Spherical Linear Interpolation (Slerp)

Unit 3: Advanced Interpolation Techniques

Unit 4: Applications and Libraries

Advanced Quaternion Topics and Optimization

Unit 1: Dual Quaternions: Representation and Algebra

Unit 2: Applications of Dual Quaternions

Unit 3: Advanced Quaternion Topics

Unit 4: Quaternion Optimization Techniques