Rotations, Quaternions, and Double Groups Simon L. Altmann
Publisher: Dover Publications

I have also finally finished getting through the introductory chapter of Rotations, Quaternions, and Double Groups by Simon L. Rotations, Quaternions, and Double Groups. Quaternions are a simple and powerful tool for handling rotations and double groups. In other words, the group of quaternions is isomorphic to the double cover Spin(3) of the rotation group SO(3). Note that the quaternions q and −q represent the same rotation. Download Rotations, quaternions, and double groups. Altmann - Rotations, Quaternions, and Double Groups. Rotations, quaternions, and double groups book download. 4), the same rotation of the entire space about a vector is intuitive. Altmann - Rotations, Quaternions, and Double Groups Oxford University Press | 1986 | ISBN: 0198553722 | Pages: 300 | DJVU | 2.77 MB. V2 × V1 vector ([ad, bd, bc]) is understood (Fig. Quaternions and Rotation Sequences [Jack B. S³ is the double cover of the group SO(3,R) of real orthogonal 3×3 matrices of determinant 1 since two unit quaternions correspond to every rotation under the above correspondence. Altmann Publisher: Oxford University Press, USA. What on earth groups have to do with solving polynomial equations. Using the quaternion and its 3 × 3 rotation matrix,7,8 any point (x, 0, z) on the 3.46-mm-diameter circle with the ideal ONH can be moved to a new position (x′, y′, z′) in a scanned cubic space: Formula . Oxford, UK: Clarendon Press; 1986. Sunday, 28 April 2013 at 16:13.