- Tytuł:
- An algorithm for quaternion-based 3D rotation
- Autorzy:
-
Cariow, Aleksandr
Cariowa, Galina
Majorkowska-Mech, Dorota - Powiązania:
- https://bibliotekanauki.pl/articles/330162.pdf
- Data publikacji:
- 2020
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
quaternions
space rotation
design of algorithms
kwaterniony
obrót przestrzeni
projektowanie algorytmów - Opis:
- 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).
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 149-160
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł