Rotation Matrices

  • Thomas HaslwanterEmail author


Six parameters (degrees of freedom) are required and sufficient to completely describe the movement of an object in space: three describe the 3-D position of the object, and three the 3-D orientation, often referred to as “attitude” in aeronautics. When describing movements that are less than a few kilometers, we often use space-fixed, Cartesian coordinate systems. In these systems, the orientation of each axis is the same for each point in space, and for all time.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Medical Engineering and Applied Social SciencesUniversity of Applied Sciences Upper AustriaLinz, Upper AustriaAustria

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