Discovery of Dual Quaternions for Geodesy

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43916884" target="_blank" >RIV/49777513:23520/12:43916884 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Discovery of Dual Quaternions for Geodesy

Original language description

The main aim of this paper is to show one application of dual quaternions in one of the challenging problem of geodesy. The Bursa-Wolf similarity transformation model is presented as a seven parameter model for transforming co-located 3D Cartesian coordinates between two datums. The transformation involves three translation parameters, three rotation elements and one scale factor. We will briefly introduce the theory of quaternions and dual quaternions. Consequently, it is shown that mathematical modelling based on dual quaternions is an elegant mathematical method which is used to represent rotation and translation parameters and a compact formula is derived for the Bursa-Wolf model.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal for Geometry and Graphics

ISSN

1433-8157

e-ISSN

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Volume of the periodical

16

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

195-209

UT code for WoS article

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EID of the result in the Scopus database

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