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BYRTUS, R. DEREVIANKO, A. VAŠÍK, P. HILDENBRAND, D. STEINMETZ, C.
Original Title
On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb
Type
journal article in Web of Science
Language
English
Original Abstract
We describe a possibility for geometric calculation of specific conics' intersections in Geometric Algebra for Conics (GAC) using its operations that may be expressed as sums of products. The advantage is that no solver for a system of quadratic equations is needed and thus no numerical error is involved. We also describe specific conics connected to intersections of conics in a general mutual position. Then we show how symbolic operations may be calculated directly in GAALOPWeb software, that the basis coefficients may be read off in the appropriate basis and, moreover, the result may be immediately and truly visualized. We compare the functionality with Maple package Clifford.
Keywords
Conformal geometric algebra; Geometric algebra; Clifford algebra; Conic intersection
Authors
BYRTUS, R.; DEREVIANKO, A.; VAŠÍK, P.; HILDENBRAND, D.; STEINMETZ, C.
Released
1. 2. 2022
Publisher
SPRINGER BASEL AG
Location
BASEL
ISBN
0188-7009
Periodical
ADV APPL CLIFFORD AL
Year of study
32
Number
1
State
Swiss Confederation
Pages from
Pages to
21
Pages count
URL
https://link.springer.com/article/10.1007/s00006-021-01182-z
BibTex
@article{BUT175046, author="Roman {Byrtus} and Anna {Derevianko} and Petr {Vašík} and Dietmar {Hildenbrand} and Christian {Steinmetz}", title="On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb", journal="ADV APPL CLIFFORD AL", year="2022", volume="32", number="1", pages="1--21", doi="10.1007/s00006-021-01182-z", issn="0188-7009", url="https://link.springer.com/article/10.1007/s00006-021-01182-z" }