Robust Prediction Algorithm Based on a General EIV Model for Multiframe Transformation
Joint Authors
Yao, Lihui
Lin, Peng
Gao, Jingxiang
Liu, Chao
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In modern geodesy, there are cases in which the target frame is unique and there is more than one source frame.
Helmert transformations, which are extensively used to solve transformation parameters, can be separately solved between the target frame and one of the source frames.
However, this is not globally optimal, even though each transformation is locally optimal on its own.
Additionally, this also generates the problem of multiple solutions in the noncommon station of the target frame.
Moreover, least squares solutions can cause estimation value distortion, with a gross error existing in observations.
Thus, in this paper, Helmert transformations among three frames, that is, one target frame and two source frames, are studied as an example.
A robust prediction algorithm based on the general errors-in-variables prediction algorithm and the robust estimation is derived in detail and is applied to achieve multiframe total transformation.
Furthermore, simulation experiments were conducted and the results validated the superiority of the proposed total transformation method over classical separate approaches.
American Psychological Association (APA)
Yao, Lihui& Lin, Peng& Gao, Jingxiang& Liu, Chao. 2019. Robust Prediction Algorithm Based on a General EIV Model for Multiframe Transformation. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1196001
Modern Language Association (MLA)
Yao, Lihui…[et al.]. Robust Prediction Algorithm Based on a General EIV Model for Multiframe Transformation. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1196001
American Medical Association (AMA)
Yao, Lihui& Lin, Peng& Gao, Jingxiang& Liu, Chao. Robust Prediction Algorithm Based on a General EIV Model for Multiframe Transformation. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1196001
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196001