Solution of Nine-Parameter Affine Transformation Based on Quaternions

Süreyya Özgür Uygur*, Orhan Akyilmaz, Cüneyt Aydin

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5 Atıf (Scopus)

Özet

A least-squares solution for (a)symmetric nine-parameter three-dimensional affine coordinate transformation based on quaternions is presented. Retrieval of the nine transformation parameters (three translations, three scale factors, and three Euler rotation angles) and their covariance matrix from the quaternion-based estimates is given in detail. The proposed method can successfully handle all the cases regardless of the magnitude of the parameters and full covariance matrices of the control points. Efficiency and consistency of the solution are discussed within five different case studies consisting of many numerical examples.

Orijinal dilİngilizce
DergiJournal of Surveying Engineering, - ASCE
Hacim147
Basın numarası3
DOI'lar
Yayın durumuYayınlandı - 1 Ağu 2021

Bibliyografik not

Publisher Copyright:
© 2021 American Society of Civil Engineers.

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