2017
DOI: 10.14198/jopha.2017.8.1.03
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Orientation Estimation by Means of Extended Kalman Filter, Quaternions, and Charts

Abstract: Abstract-An orientation estimation algorithm is presented. This algorithm is based on the Extended Kalman Filter, and uses quaternions as the orientation descriptor. For the filter update, we use measurements from an Inertial Measurement Unit (IMU). The IMU consists in a triaxial angular rate sensor, and an also triaxial accelerometer.Quaternions describing orientations live in the unit sphere of R 4 . Knowing that this space is a manifold, we can apply some basic concepts regarding these mathematical objects,… Show more

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Cited by 5 publications
(3 citation statements)
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“…The position and attitude of a body in 3D space can be defined by the three transnational and the three rotational coordinates, which relate the origin and orientation of the body-fixed coordinate system to the world frame. In particular, the orientation of a rigid body is usually expressed by a transformation matrix, the elements of which are generally parameterized in terms of Euler angles, rotation vectors, rotation matrices, and unit quaternions [ 36 ]. A detailed survey of this representation can be found in [ 37 ].…”
Section: Theoretical Notions and Methodsmentioning
confidence: 99%
“…The position and attitude of a body in 3D space can be defined by the three transnational and the three rotational coordinates, which relate the origin and orientation of the body-fixed coordinate system to the world frame. In particular, the orientation of a rigid body is usually expressed by a transformation matrix, the elements of which are generally parameterized in terms of Euler angles, rotation vectors, rotation matrices, and unit quaternions [ 36 ]. A detailed survey of this representation can be found in [ 37 ].…”
Section: Theoretical Notions and Methodsmentioning
confidence: 99%
“…The orientation definition for a rigid body is generally made through a transformation matrix containing a parametrization of the Euler angles, unit quaternions, rotation vectors or rotation matrices [61]. Among them, the Euler angles allow for a more intuitive analysis in the 3D space and can be defined as follows:…”
Section: A Orientation Estimation Overviewmentioning
confidence: 99%
“…The orientation of a rigid body is usually expressed by a transformation matrix in which the elements are generally parameterized in terms of Euler angles, rotation vectors, rotation matrices, and unit quaternions [59]. The Euler angles are the most intuitive expression as they allow a simple analysis of the body orientation in the 3D space.…”
Section: Orientation Estimation Overviewmentioning
confidence: 99%