Abstract: This article presents two recursive quaternion filters for single-frame attitude determination from vector measurements. In the first filter, the estimate is sequentially projected on ...

1 Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia. 2 Department of Basics and Engineering Sciences, Faculty of Engineering ...

Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...

I've begun the slow and careful process of converting my project over to the Mathematics library (from double variants of Unity's Vector3 and Quaternion I found years ago), but I've realized there's ...

The story of William Rowan Hamilton’s discovery of new four-dimensional numbers called quaternions is familiar. The solution of a problem that had bothered him for years occurred to him in a flash of ...

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