Quaternions and Rotation Sequences : A Primer with Applications to Orbits, Aerospace and Virtual Reality /

Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in application...

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Detalles Bibliográficos
Autor principal: Kuipers, J. B. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2020]
Temas:
Quaternions.
MATHEMATICS / Applied.
Euler angle.
aircraft.
algorithm.
angles.
complex numbers.
coordinate frame.
coupling.
direction cosine.
electromagnetic.
factor.
geometry.
great-circle.
homogeneous coordinates.
identity.
incremental rotation.
inverse.
matrix.
number.
orientation.
perspective.
phase plane.
projection.
quaternion.
rotation.
seasons.
spherical.
trace of a matrix.
virtual reality.
Acceso en línea:Texto completo
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Tabla de Contenidos:
  • Frontmatter
  • Contents
  • List of Figures
  • About This Book
  • Acknowledgements
  • Chapter 1. Historical Matters
  • Chapter 2. Algebraic Preliminaries
  • Chapter 3. Rotations in 3-space
  • Chapter 4. Rotation Sequences in R3
  • Chapter 5. Quaternion Algebra
  • Chapter 6. Quaternion Geometry
  • Chapter 7. Algorithm Summary
  • Chapter 8. Quaternion Factors
  • Chapter 9. More Quaternion Applications
  • Chapter 10. Spherical Trigonometry
  • Chapter 11. Quaternion Calculus for Kinematics and Dynamics
  • Chapter 12. Rotations in Phase Space
  • Chapter 13. A Quaternion Process
  • Chapter 14. Computer Graphics
  • Further Reading and Some Personal References
  • Index

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