Creator:

Cariow, Aleksandr ; Cariowa, Galina ; Majorkowska-Mech, Dorota

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

An algorithm for quaternion-based 3D rotation

Group publication title:

AMCS, volume 30 (2020)

Subject and Keywords:

quaternions ; space rotation ; design of algorithms

Abstract:

In this work a new algorithm for quaternion-based spatial rotation is presented which reduces the number of underlying real multiplications. The performing of a quaternion-based rotation using a rotation matrix takes 15 ordinary multiplications, 6 trivial multiplications by 2 (left-shifts), 21 additions, and 4 squarings of real numbers, while the proposed algorithm can compute the same result in only 14 real multiplications (or multipliers - in a hardware implementation case), 43 additions, 4 right-shifts (multiplications by 1/4), and 3 left-shifts (multiplications by 2).

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2020

Resource Type:

artykuł

DOI:

10.34768/amcs-2020-0012

Pages:

149-160

Source:

AMCS, volume 30, number 1 (2020) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego