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

Publisher: Oxford University Press, USA Page Count: 312. It is no longer the time to polish your gun, you must shoot. GO Rotations, quaternions, and double groups. 4), the same rotation of the entire space about a vector is intuitive. In other words, the group of quaternions is isomorphic to the double cover Spin(3) of the rotation group SO(3). Translation taken from Simon L. €� Stendhal as quoted by Prosper Mérimée, HB (1850). Oxford, UK: Clarendon Press; 1986. V2 × V1 vector ([ad, bd, bc]) is understood (Fig. Rotations, Quaternions, and Double Groups. 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 . Altmann, Rotations, Quaternions, and Double Groups, Ch. Language: English Released: 1986. Note that the quaternions q and −q represent the same rotation.