Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra [PDF]
ISPRS International Journal of Geo-Information, 2020 The three-dimensional coordinate’s transformation from one system to another, and more specifically, the Helmert transformation problem, is one of the most well-known transformations in the field of engineering.
Stefania Ioannidou, George Pantazis
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The Helmert transformation: a proposal for the problem of post-transformation corrections [PDF]
Advances in Geodesy and Geoinformation, 2023 The geodesy literature seems to offer comprehensive insight into the planar Helmert transformation with Hausbrandt corrections. Specialist literature is mainly devoted to the issues of 3D transformation.
Tadeusz Gargula, Pelagia Gawronek
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A dual quaternion algorithm of the Helmert transformation problem [PDF]
Earth, Planets and Space, 2018 Rigid transformation including rotation and translation can be elegantly represented by a unit dual quaternion. Thus, a non-differential model of the Helmert transformation (3D seven-parameter similarity transformation) is established based on unit dual ...
Huaien Zeng +3 more
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Effect of Helmert Transformation Parameters and Weight Matrix on Seasonal Signals in GNSS Coordinate Time Series [PDF]
Sensors, 2018 Seasonal signals caused by the Earth’s surface mass redistribution can be detected by Global Navigation Satellite Systems (GNSS). The authors analyze the effect of Helmert transformation parameters and weight matrices, as well as the additional ...
Guo Chen, Qile Zhao, Na Wei, Min Li
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Geo-spatial Information Science, 2023 In this paper, we propose an approach to determine seven parameters of the Helmert transformation by transforming the coordinates of a continuous GNSS network from the World Geodetic System 1984 (WGS84) to the International Terrestrial Reference Frame ...
Dinh Trong Tran +3 more
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Accuracy of geodetic coordinates using Helmert transformation algorithm
Geodesy and Cartography, 2012 Accuracy of geodetic coordinates transformed from one coordinate system to another is analysed in the publication. Values for transformation parameters are computed using the least-squares method.
Jonas Skeivalas
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A Method for the Precise Coordinate Determination of an Inaccessible Location [PDF]
Sensors, 2023 Surveyors are occasionally tasked to with determining the coordinates of inaccessible locations or points in civil engineering applications, ground control points for photogrammetry or LiDAR data acquisition, among others.
Edward Osada +4 more
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Comparison of Ultra-Rapid Orbit Prediction Strategies for GPS, GLONASS, Galileo and BeiDou [PDF]
Sensors, 2018 Currently, ultra-rapid orbits play an important role in the high-speed development of global navigation satellite system (GNSS) real-time applications.
Tao Geng, Peng Zhang, Wei Wang, Xin Xie
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Orbit fitting based on Helmert transformation
Geo-Spatial Information Science, 2009 Orbit fitting is used in many GPS applications. For example, in Precise Point Positioning (PPP), GPS orbits (SP3 orbits) are normally retrieved either from IGS or from one of its Analysis Centers (ACs) with 15 minutes’ sampling, which is much bigger than the normal observation sampling.
Junping Chen, Jiexian Wang
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Copy-move forgery detection for image forensics using the superpixel segmentation and the Helmert transformation [PDF]
EURASIP Journal on Image and Video Processing, 2019 The increasing popularity of the internet suggests that digital multimedia has become easier to transmit and acquire more rapidly. This also means that this multimedia has become more susceptible to tampering through forgery.
Hui-Yu Huang, Ai-Jhen Ciou
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