E. Hitzer

**Angles between subspaces**

in V. Skala, E.Hitzer (eds.),
*Workshop Proceedings: Computer Graphics,
Computer Vision and Mathematics 2010, Sep. 07-10, 2010,
Brno University of Technology, Brno, Czech Republic*,
published by UNION Agency, Plzen (2010),
ISBN 978-80-86943-85-5.

**Abstract:**
We first review the denition of the angle between subspaces and how it is
computed using matrix algebra.
Then we introduce the Grassmann and Clifford algebra description of subspaces.
The geometric product of
two subspaces yields the full relative angular information in an explicit manner.
We explain and interpret the
result of the geometric product of subspaces gaining thus full access to the
relative orientation information.

**Mathematics SubjectClassification (2000).**
15A66.

**Keywords.**
Clifford geometric algebra, interactive software, space groups, crystallography,
visualization.

[ PDF 1603K | Online proceedings 36.6M ]

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