Quaternion Algebra and Calculus
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This document provides a mathematical summary of quaternion algebra and calculus and how they relate to rotations and interpolation of rotations. The ideas are based on the article [1].
[1] Ken Shoemake,et al. Quaternion calculus and fast animation , 1987 .
[2] Gerald Farin,et al. Curves and surfaces for computer aided geometric design , 1990 .
[3] Wolfgang Böhm,et al. On cubics: A survey , 1982, Comput. Graph. Image Process..