Detail publikace
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra
HRDINA, J. NÁVRAT, A. VAŠÍK, P. DORST, L.
Anglický název
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra
Typ
Článek WoS
Jazyk
en
Originální abstrakt
We show that if Projective Geometric Algebra (PGA), i.e. the geometric algebra with degenerate signature (n, 0, 1), is understood as a subalgebra of Conformal Geometric Algebra (CGA) in a mathematically correct sense, then flat primitives share the same representation in PGA and CGA. Particularly, we treat duality in PGA in the framework of CGA. This leads to unification of PGA and CGA primitives which is important especially for software implementation and symbolic calculations.
Klíčová slova anglicky
Conformal geometric algebra; Projective geometric algebra; Euclidean geometry
Vydáno
2021-02-22
Nakladatel
Birkhauser Verlag AG
Místo
Basel, Switzerland
ISSN
0188-7009
Časopis
Advances in Applied Clifford Algebras
Ročník
31
Číslo
18
Strany od–do
1–13
Počet stran
14
BIBTEX
@article{BUT169707,
author="Jaroslav {Hrdina} and Aleš {Návrat} and Petr {Vašík} and Leo {Dorst}",
title="Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra",
journal="Advances in Applied Clifford Algebras",
year="2021",
volume="31",
number="18",
pages="1--13",
doi="10.1007/s00006-021-01118-7",
issn="0188-7009",
url="https://link.springer.com/article/10.1007/s00006-021-01118-7"
}