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Rotations, quaternions, and double groups by Simon L. Altmann

Rotations, quaternions, and double groups Simon L. Altmann ebook
Publisher: Oxford University Press, USA
Format: djvu
Page: 312
ISBN: 0198553722, 9780198553724

4), the same rotation of the entire space about a vector is intuitive. Note that the quaternions q and −q represent the same rotation. In other words, the group of quaternions is isomorphic to the double cover Spin(3) of the rotation group SO(3). Oxford, UK: Clarendon Press; 1986. Dan Pendleton says: January 15, 2011 at 5:43 pm. Joseph, You work in the areas I have been reading (your books, of course) is fantastic. 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 . Rotations, quaternions, and double groups. Each rotation in 3-dimensional real Euclidean space has two representations as a quaternion: the quaternion group double-covers the rotation group. V2 × V1 vector ([ad, bd, bc]) is understood (Fig. Download Rotations, quaternions, and double groups. As for a referemce on their mathematics, Rotations, QUaternions, and Double Groups. Rotations, quaternions, and double groups Simon L. Altmann Publisher: Oxford University Press, USA. Rotations, quaternions, and double groups by Simon L.