A New Formulation of Plücker Coordinates Using Projective Representation,
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43957977" target="_blank" >RIV/49777513:23520/20:43957977 - isvavai.cz</a>
Result on the web
<a href="http://hdl.handle.net/11025/42673" target="_blank" >http://hdl.handle.net/11025/42673</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/MCSI.2018.00020" target="_blank" >10.1109/MCSI.2018.00020</a>
Alternative languages
Result language
angličtina
Original language name
A New Formulation of Plücker Coordinates Using Projective Representation,
Original language description
This contribution presents a new formulation of Plücker coordinates using geometric algebra and standard linear algebra with projective representation. The Plücker coordinates are usually used for a line representation in space, which is given by two points. However, the line can be also given as an intersection of two planes in space. The principle of duality leads to a simple formulation for both cases. The presented approach uses homogenous coordinates with the duality principle application. It is convenient for application on GPU as well. The Plücker coordinates are used in many applications, e.g. in robotics, computer aided design and computer graphics algorithms etc.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA17-05534S" target="_blank" >GA17-05534S: Meshless methods for large scattered spatio-temporal vector data visualization</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
5th International Conference on Mathematics and Computers in Sciences and Industry, MCSI 2018
ISBN
978-1-5386-7500-7
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
52-56
Publisher name
Institute of Electrical and Electronics Engineers Inc.
Place of publication
Corfu
Event location
Corfu
Event date
Aug 24, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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