In this chapter we investigate how geometric algebra introduces totally new ways to calculate reflections and rotations. Although the operations take place about the origin, standard vectorial techniques enable them to be translated to other positions in space.We begin with reflections as they provide a cunning way to implement rotations. The first type of reflection is relative to a line and the second type is relative to a mirror plane.
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© 2009 Springer-Verlag Berlin Heidelberg
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(2009). Reflections and Rotations. In: Geometric Algebra: An Algebraic System for Computer Games and Animation. Springer, London. https://doi.org/10.1007/978-1-84882-379-2_8
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DOI: https://doi.org/10.1007/978-1-84882-379-2_8
Publisher Name: Springer, London
Print ISBN: 978-1-84882-378-5
Online ISBN: 978-1-84882-379-2
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