Acknowledgments

Many people contributed to the intellectual journey leading to the completion of this book. Steve Cunningham and Anselmo Lastra provided the essential initial encouragement to put together some of my thoughts and results on 4D geometry and quaternions in the form of Siggraph Conference tutorials. Claude Puech’s hospitality for a year’s sabbatical in 1995–1996 at iMagis in Grenoble (now the INRIA laboratory in Montbonnot, France) provided the time to start bringing together my initial thoughts on quaternion manifolds. Pascal Fua’s generous hospitality during my sabbatical at EPFL in Lausanne, Switzerland, in 2002 was similarly invaluable. We are indebted to the National Science Foundation, grants NSF IRI-91-06389, CCR-0204112, and ...

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