Geometric Product of Two Oriented Points in Conformal Geometric Algebra
Publication type: Journal Article
Publication date: 2024-11-15
scimago Q2
wos Q2
SJR: 0.636
CiteScore: 2.5
Impact factor: 1.2
ISSN: 01887009, 16614909
Abstract
We compute and explore the full geometric product of two oriented points in conformal geometric algebra Cl(4, 1) of three-dimensional Euclidean space. We comment on the symmetry of the various components, and state for all expressions also a representation in terms of point pair center and radius vectors.
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Hitzer E. Geometric Product of Two Oriented Points in Conformal Geometric Algebra // Advances in Applied Clifford Algebras. 2024. Vol. 35. No. 1. 3
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Hitzer E. Geometric Product of Two Oriented Points in Conformal Geometric Algebra // Advances in Applied Clifford Algebras. 2024. Vol. 35. No. 1. 3
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TY - JOUR
DO - 10.1007/s00006-024-01363-6
UR - https://link.springer.com/10.1007/s00006-024-01363-6
TI - Geometric Product of Two Oriented Points in Conformal Geometric Algebra
T2 - Advances in Applied Clifford Algebras
AU - Hitzer, Eckhard
PY - 2024
DA - 2024/11/15
PB - Springer Nature
IS - 1
VL - 35
SN - 0188-7009
SN - 1661-4909
ER -
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@article{2024_Hitzer,
author = {Eckhard Hitzer},
title = {Geometric Product of Two Oriented Points in Conformal Geometric Algebra},
journal = {Advances in Applied Clifford Algebras},
year = {2024},
volume = {35},
publisher = {Springer Nature},
month = {nov},
url = {https://link.springer.com/10.1007/s00006-024-01363-6},
number = {1},
pages = {3},
doi = {10.1007/s00006-024-01363-6}
}