Szczegóły publikacji
Opis bibliograficzny
Partially error-affected point-wise weighted closed-form solution to the similarity transformation and its variants / Marcin LIGAS // Journal of Applied Geodesy ; ISSN 1862-9016. — 2020 — vol. 14 iss. 2, s. 231–239. — Bibliogr. s. 239, Abstr. — Publikacja dostępna online od: 2020-02-29
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 128453 |
|---|---|
| Data dodania do BaDAP | 2020-05-05 |
| DOI | 10.1515/jag-2019-0067 |
| Rok publikacji | 2020 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Journal of Applied Geodesy |
Abstract
The paper presents a closed-form solution to the point-wise weighted similarity transformation and its variants in the least squares framework under two estimation scenarios. In the first scenario a target system is subject to random errors whilst in the second one a source system is considered to be erroneous. These transformation models will be named asymmetric in contrast to the symmetrical one solved under the errors-in-variables model where both systems are contaminated by random errors. The entire derivation is based on Procrustes Analysis. The formulas presented herein hold for both 2D and 3D transformations without any modification. The solution uses a polar decomposition to recover the rotation matrix.
