Solution of the weighted symmetric similarity transformations based on quaternions

H Mercan, O Akyilmaz, C Aydin - Journal of geodesy, 2018 - Springer
A new method through Gauss–Helmert model of adjustment is presented for the solution of
the similarity transformations, either 3D or 2D, in the frame of errors-in-variables (EIV) model …

Center strategies for universal transformations: modified iteration policy and two alternative models

Y Hu, X Fang, H Kutterer - GPS Solutions, 2023 - Springer
Although centralized coordinates are applied in geodetic coordinate transformations
implicitly or explicitly, the centering strategy has not been comprehensively investigated from …

A generalized weighted total least squares-based, iterative solution to the estimation of 3D similarity transformation parameters

Y Wang, K Yuan, N Zheng, Z Bian, M Yang - Measurement, 2023 - Elsevier
The essence of point cloud registration is to estimate the seven similarity transformation
parameters of the Bursa-Wolf model which describes the relative position of the two …

An advanced multiple outlier detection algorithm for 3D similarity datum transformation

YQ Ma, SC Liu, QZ Li - Measurement, 2020 - Elsevier
Estimated transformation parameters based on the three-dimensional (3D) similarity datum
transformation are affected or even severely distorted when the observed coordinates are …

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

SÖ Uygur, C Aydin, O Akyilmaz - Journal of spatial science, 2022 - Taylor & Francis
Recently, it has been shown how quaternion-based representation of a rotation matrix has
advantages over conventional Eulerian representation in 3D similarity transformations. The …

A high-precision calibration approach for Camera-IMU pose parameters with adaptive constraints of multiple error equations

D Qiu, S Li, T Wang, Q Ye, R Li, K Ding, H Xu - Measurement, 2020 - Elsevier
In the calibration of the pose parameters of a camera and inertial measurement unit
(Camera-IMU), the camera depth information is unreliable due to the uneven spatial …

Research on pose estimation for stereo vision measurement system by an improved method: uncertainty weighted stereopsis pose solution method based on …

J Cui, C Min, D Feng - Optics Express, 2020 - opg.optica.org
We present UWSPSM, an algorithm of uncertainty weighted stereopsis pose solution
method based on the projection vector which to solve the problem of pose estimation for …

Dual-quaternion-based iterative algorithm of the three dimensional coordinate transformation

H Zeng, Z Wang, J Li, S Li, J Wang, X Li - Earth, Planets and Space, 2024 - Springer
Nowadays a unit quaternion is widely employed to represent the three-dimensional (3D)
rotation matrix and then applied to the 3D similarity coordinate transformation. A unit dual …

[HTML][HTML] Ultra-fast near real-time estimation of troposphere parameters and coordinates from GPS data

D Tondaś, J Kapłon, W Rohm - Measurement, 2020 - Elsevier
Abstract The European Plate Observing System (EPOS) integrates existing and newly
created research infrastructures for earth sciences in Europe. One of the tasks of the EPOS …

A Novel Robust Quaternions-Based Algorithm for 3-D Symmetric Similarity Datum Transformation

Z Zhao, Z Li, B Wang - IEEE Transactions on Instrumentation …, 2024 - ieeexplore.ieee.org
Recently, the total least squares (TLS) method has gained significant attention for solving
the challenge in 3-D symmetric similarity datum transformation. The conventional …