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Attitude and position tracking

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dc.contributor.author Candy, LP
dc.contributor.author Lasenby, J
dc.date.accessioned 2012-07-27T11:25:07Z
dc.date.available 2012-07-27T11:25:07Z
dc.date.issued 2011
dc.identifier.citation Candy, LP and Lasenby, J. 2011. Attitude and position tracking. Guide to Geometric Algebra in Practice. Springer-Verlag, London, UK. en_US
dc.identifier.isbn 978-0-85729-810-2
dc.identifier.isbn 978-0-85729-811-9
dc.identifier.uri http://www.springerlink.com/content/r4451277177n9q72/
dc.identifier.uri http://hdl.handle.net/10204/6016
dc.description Copyright: 2011 Springer-Verlag. This is an ABSTRACT ONLY. en_US
dc.description.abstract Several applications require the tracking of attitude and position of a body based on velocity data. It is tempting to use direction cosine matrices (DCM), for example, to track attitude based on angular velocity data, and to integrate the linear velocity data separately in a suitable frame. In this chapter we make the case for using bivectors as the attitude tracking method of choice since several features make their performance and flexibility superior to that of DCMs, Euler angles or even rotors. We also discuss potential advantages in using CGA to combine the integration of angular and linear velocities in one step, as the features that make bivectors attractive for tracking rotations extend to bivectors that represent general displacements. en_US
dc.language.iso en en_US
dc.publisher Springer-Verlag en_US
dc.relation.ispartofseries Workflow;8605
dc.subject Velocity data en_US
dc.subject Direction cosine matrices en_US
dc.subject DCM en_US
dc.subject Kinematics en_US
dc.subject Algebra en_US
dc.subject Geometric algebra en_US
dc.subject Bivectors en_US
dc.subject Conformal mapping en_US
dc.title Attitude and position tracking en_US
dc.type Book Chapter en_US
dc.identifier.apacitation Candy, L., & Lasenby, J. (2011). Attitude and position tracking., <i>Workflow;8605</i> Springer-Verlag. http://hdl.handle.net/10204/6016 en_ZA
dc.identifier.chicagocitation Candy, LP, and J Lasenby. "Attitude and position tracking" In <i>WORKFLOW;8605</i>, n.p.: Springer-Verlag. 2011. http://hdl.handle.net/10204/6016. en_ZA
dc.identifier.vancouvercitation Candy L, Lasenby J. Attitude and position tracking.. Workflow;8605. [place unknown]: Springer-Verlag; 2011. [cited yyyy month dd]. http://hdl.handle.net/10204/6016. en_ZA
dc.identifier.ris TY - Book Chapter AU - Candy, LP AU - Lasenby, J AB - Several applications require the tracking of attitude and position of a body based on velocity data. It is tempting to use direction cosine matrices (DCM), for example, to track attitude based on angular velocity data, and to integrate the linear velocity data separately in a suitable frame. In this chapter we make the case for using bivectors as the attitude tracking method of choice since several features make their performance and flexibility superior to that of DCMs, Euler angles or even rotors. We also discuss potential advantages in using CGA to combine the integration of angular and linear velocities in one step, as the features that make bivectors attractive for tracking rotations extend to bivectors that represent general displacements. DA - 2011 DB - ResearchSpace DP - CSIR KW - Velocity data KW - Direction cosine matrices KW - DCM KW - Kinematics KW - Algebra KW - Geometric algebra KW - Bivectors KW - Conformal mapping LK - https://researchspace.csir.co.za PY - 2011 SM - 978-0-85729-810-2 SM - 978-0-85729-811-9 T1 - Attitude and position tracking TI - Attitude and position tracking UR - http://hdl.handle.net/10204/6016 ER - en_ZA


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