On Finite Rotations and the Noncommutativity Rate Vector

Candy, L P; Lasenby, Joan

doi:10.1109/taes.2010.5461669

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Cited by 11 publications

(2 citation statements)

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“…Based on vector algebra, calculations with spinors (or rotors) are more efficient than calculations with matrices. Candy [4] derived a GA form of the rotation vector differential equation, by making use of the kinematic equation of rotors presented by Hestenes [3]. However, the modality of Candy's equation is a little complicated, and the solution of the equation is not provided.…”

Section: Introductionmentioning

confidence: 99%

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A rotation vector differential equation in geometric algebra

Wang

2011

2011 6th International Conference on Telecommunication Systems, Services, and Applications (TSSA)

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The rotation vector differential equation is vital to the attitude algorithm in the modern strapdown inertial navigation system. A substitutive derivation of the rotation vector differential equation in geometric algebra (GA) form is provided by utilizing the kinematic equation of rotors. The GA form of the equation inherits the simplicity and efficiency of the vector form. Moreover, it is universal in any dimension.

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Section: Introductionmentioning

confidence: 99%

“…This GA form of the rotation vector differential equation is more compact than Candy's [4], hence, easier to be understood and computed with. It is owing to the flexible switch between the direct and dual representations, which is a powerful way of finding the simplest expressions for geometrical operations.…”

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confidence: 99%