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5 of 5 people found the following review helpful
5.0 out of 5 stars Excellent new book on quaternions and rotations, 14 Feb 2006
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This review is from: Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology) (Hardcover)
This beautiful book has been worth waiting for - it was recommended on David Eberly's geometrictools website and, like Eberly's own books, is well worth buying.
Hansen is an excellent writer and explains the mathematics of quaternions very clearly - he gives a large number of examples with colourful graphics. He also gives practical advice on implementation and extremely useful sample code (both in the appendices and on the accompanying website - the Belt Trick program is superb, I love the dual 3D views).
He also provides useful conversions between other orientation representations, e.g. Euler angles (the XYZ and ZYZ conventions are covered, unfortunately Bunge's ZXZ isn't).
This is an excellent book and I recommend it to anyone working with quaternions, either for 3D graphics or for orientation calculations in EBSD, materials science, geology...
[For a slightly less visual approach, Kuiper's "Quaternions and Rotation Sequences" ISBN 0-691-10298-8 is useful; for deep mathematics try John H Conway's "On Quaternions and Octonions", ISBN 1-56881-134-9.]
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