Geometric Algebra for Conics
Publication type: Journal Article
Publication date: 2018-06-30
scimago Q2
wos Q2
SJR: 0.636
CiteScore: 2.5
Impact factor: 1.2
ISSN: 01887009, 16614909
Applied Mathematics
Abstract
We present a particular geometric algebra together with such an embedding of two–dimensional Euclidean space that the algebra elements may be in the most efficient way interpreted as arbitrary conic sections. Consequently, in this setting we provide full description of the conic sections analysis, classification and their transformations. Examples that show the functionality and consistency are provided in Maple together with the source code.
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Metrics
26
Total citations:
26
Citations from 2024:
7
(26.93%)
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Hrdina J., Návrat A., Vašík P. Geometric Algebra for Conics // Advances in Applied Clifford Algebras. 2018. Vol. 28. No. 3. 66
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Hrdina J., Návrat A., Vašík P. Geometric Algebra for Conics // Advances in Applied Clifford Algebras. 2018. Vol. 28. No. 3. 66
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RIS
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TY - JOUR
DO - 10.1007/s00006-018-0879-2
UR - https://doi.org/10.1007/s00006-018-0879-2
TI - Geometric Algebra for Conics
T2 - Advances in Applied Clifford Algebras
AU - Hrdina, Jaroslav
AU - Návrat, Aleš
AU - Vašík, Petr
PY - 2018
DA - 2018/06/30
PB - Springer Nature
IS - 3
VL - 28
SN - 0188-7009
SN - 1661-4909
ER -
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BibTex (up to 50 authors)
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@article{2018_Hrdina,
author = {Jaroslav Hrdina and Aleš Návrat and Petr Vašík},
title = {Geometric Algebra for Conics},
journal = {Advances in Applied Clifford Algebras},
year = {2018},
volume = {28},
publisher = {Springer Nature},
month = {jun},
url = {https://doi.org/10.1007/s00006-018-0879-2},
number = {3},
pages = {66},
doi = {10.1007/s00006-018-0879-2}
}