ITRF conversion method based on conformal geometric algebra

A technology of geometric algebra and conversion method, applied in the field of interdisciplinary research, can solve problems such as cumbersome conversion forms and complicated calculation processes, and achieve the effect of avoiding matrix transformation, simplifying conversion forms and complicated calculation processes

Pending Publication Date: 2021-10-01
NANJING NORMAL UNIVERSITY
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Problems solved by technology

[0004] Purpose of the present invention: In order to solve the problems of cumbersome conversion forms and complicated calculation processes caused by matrix operations in the current reference frame conversion, the present invention combines the advantages of geometric algebra in operator expression and compound transformation, and introduces geometric algebra In the field of frame conversion to space geodesy, a conversion method of International Terrestrial Reference Frame (ITRF) based on conformal geometric algebra is proposed

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  • ITRF conversion method based on conformal geometric algebra
  • ITRF conversion method based on conformal geometric algebra
  • ITRF conversion method based on conformal geometric algebra

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Embodiment

[0083] Currently, 232 IGS (International GNSS Service, IGS) stations, 11 ILRS (The International Laser Ranging Service, ILRS) stations, 5 IVS (International VLBI Service, IVS) stations and 40 IDS (International DORIS) stations have been collected and sorted out. Service, IDS) station as the experimental data; based on the above specific steps, the conversion of the above station from the 2012 epoch ITRF2014 framework to the 2010 epoch ITRF2008 framework is realized. Due to the large amount of data, here we only take the four IGS stations under the framework of ITRF2014 in the 2012 epoch as an example to illustrate the ITRF conversion method based on CGA.

[0084] The specific locations of the four IGS stations under the ITRF2014 framework in the 2012 epoch in the European space are shown in Table 1.

[0085] Table 1 Coordinates and velocities of IGS stations under the framework of ITRF2014 at epoch 2012 in Euclidean space

[0086] IGS station X / m Y / m Z / m V X...

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Abstract

The invention discloses an ITRF conversion method based on conformal geometric algebra. The ITRF conversion method comprises the following steps: 1, obtaining a to-be-converted station and coordinates of the to-be-converted station in an Euclidean space E3; 2, introducing a reference origin e0 and an infinite point e-infinity based on a covariant view angle, and converting the coordinates of the to-be-converted station point in an Euclidean space E3 into the coordinates of the to-be-converted station point in a conformal space; 3, in the conformal space, constructing a rotation operator, a translation operator and a scaling operator which have the same effect as rotation, translation and scaling in the Euclidean space E3; 4, according to the conversion type of the reference frame and the rotation operator, the translation operator and the scaling operator constructed in the step 3, converting the coordinates of the to-be-converted station point in the conformal space from any reference frame state at any moment to another reference frame state. According to the method, on the basis of unified operator expression, the conversion operator is directly calculated according to the conversion parameters, and then conversion is directly carried out, so complex matrix conversion is avoided, and a tedious conversion form and a complex calculation process are simplified.

Description

technical field [0001] The present invention relates to the cross research of geographic information system, geometric algebra and geodesy, in particular to an International Terrestrial Reference Frame (International Terrestrial Reference Frame, ITRF) conversion method based on conformal geometric algebra. Background technique [0002] The conversion of the reference frame is usually divided into epoch conversion and frame conversion. According to the sequence of epoch conversion and frame conversion, reference frame conversion is divided into two forms, that is, epoch before frame and frame before epoch. Both conversion methods are based on matrix operations, decompose the conversion object into each axis of the reference system based on the coordinates, perform conversion in each direction or scale, and calculate according to the conversion parameters in each direction. This conversion process greatly increases the number of items in the calculation formula; when multiple...

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Application Information

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IPC IPC(8): G06F17/18
CPCG06F17/18G06F17/10G06T15/10
Inventor 闫振军罗文孙玲玲王赟俞肇元张季一高鸿袁林旺
Owner NANJING NORMAL UNIVERSITY
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