Affine Transformations

Part of the Springer Tracts in Mechanical Engineering book series (STME)


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.


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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

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