Visualizing More Quarternions

This second volume brings the study of quaternions up to date, building on ideas that have developed since the original 2005 book and adding findings from the author's recent research. Its coverage of proteomics and molecular crystallography, where quaternion techniques are being actively applied, along with its material on electron microscopy, should interest biochemists and biophysicists.

The book lays groundwork for how quaternions can be drawn and displayed visually, which will appeal to anyone interested in quaternions for their own sake. It is also aimed at scientists in computer graphics, animation, shape modeling and scientific visualization, as well as specialists from other fields. The opening chapters are written for molecular chemists, who often use eigensystems built from quaternions as a routine yardstick for how closely two shapes line up.

Later sections cover quaternion-based methods for matching pairs of point clouds, including data produced by orthographic and perspective projections. The author also applies quaternion frames in depth to the analysis of protein orientation.

The final part looks at how quaternion methods apply to problems in physics, from quantum computing to special relativity and gravitational instantons.