Advertisement

Affine Transformations

Chapter
  • 327 Downloads
Part of the Springer Tracts in Mechanical Engineering book series (STME)

Abstract

Affine transformations allow the production of complex shapes using much simpler shapes. For example, an ellipse (ellipsoid) with axes offset from the origin of the given coordinate frame and oriented arbitrarily with respect to the axes of this frame can be produced as an affine transformation of a circle (sphere) of unit radius centered at the origin of the given frame.

References

  1. Chaudhary M, Angeles J, Morozov A (2016) Design and kinematic analysis of a spherical cam-roller mechanism for an automotive differential. CSME Trans 40:243–252Google Scholar
  2. Koenderink JJ (1990) Solid shape. The MIT Press, CambridgeGoogle Scholar
  3. Singh S (2015) Design synthesis of custom-molded earphone sleeve. M.Eng. Project, Department of Mechanical Engineering, McGill University, MontrealGoogle Scholar
  4. Strang G (1986) Introduction to applied mathematics. Wellesley-Cambridge Press, CambridgeGoogle Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringMcGill UniversityMontrealCanada

Personalised recommendations