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Quaternion Algebra and Calculus - Geometric Tools
www.geometrictools.comThis 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]. ... vector ^vis rotated by an angle ˚to the vector q^vq , so ^v (qvq^ ) = cos(˚). Using equation (8) and ^v = ^v,