Retrieval of Euler rotation angles from 3D similarity transformation based on quaternions

Süreyya Özgür Uygur*, Cuneyt Aydin, Orhan Akyilmaz

*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: ???type-name???Makalebilirkişi

12 Atıf (Scopus)

Özet

Recently, it has been shown how quaternion-based representation of a rotation matrix has advantages over conventional Eulerian representation in 3D similarity transformations. The iterative estimation procedure in similarity transformations based on quaternions results in translations and (scaled) quaternion elements. One needs, therefore, an additional procedure for evaluating the rest of the transformation parameters (translation, scale factor and rotation angles) after this solution.This contribution shows how to evaluate the rotation angles and the full covariance matrix of the transformation parameters from the estimation results in asymmetric and symmetric 3D similarity transformations based on quaternions.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)1-18
Sayfa sayısı18
DergiJournal of Spatial Science
DOI'lar
Yayın durumuYayınlandı - 2020

Bibliyografik not

Publisher Copyright:
© 2020, © 2020 Mapping Science Institute, Australia and Surveying and Spatial Science Institute.

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