In this paper we use Groebner bases theory in order to determine planarity of intersections of two algebraic surfaces in R3. We specially considered plane sections of certain type of conoid which has a cubic egg curve as one of the directrices. The paper investigates a possibility of conic plane sections of this type of conoid.
Keywords:
Groebner bases / egg curve based conoid / planar intersection
Source:
Filomat, 2009, 23, 2, 43-55
Publisher:
Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
TY - JOUR
AU - Malešević, Branko
AU - Obradović, Marija
PY - 2009
UR - https://grafar.grf.bg.ac.rs/handle/123456789/234
AB - In this paper we use Groebner bases theory in order to determine planarity of intersections of two algebraic surfaces in R3. We specially considered plane sections of certain type of conoid which has a cubic egg curve as one of the directrices. The paper investigates a possibility of conic plane sections of this type of conoid.
PB - Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
T2 - Filomat
T1 - An application of Groebner bases to planarity of intersection of surfaces
EP - 55
IS - 2
SP - 43
VL - 23
DO - 10.2298/FIL0902043M
ER -
@article{
author = "Malešević, Branko and Obradović, Marija",
year = "2009",
abstract = "In this paper we use Groebner bases theory in order to determine planarity of intersections of two algebraic surfaces in R3. We specially considered plane sections of certain type of conoid which has a cubic egg curve as one of the directrices. The paper investigates a possibility of conic plane sections of this type of conoid.",
publisher = "Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš",
journal = "Filomat",
title = "An application of Groebner bases to planarity of intersection of surfaces",
pages = "55-43",
number = "2",
volume = "23",
doi = "10.2298/FIL0902043M"
}
Malešević, B.,& Obradović, M.. (2009). An application of Groebner bases to planarity of intersection of surfaces. in Filomat
Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš., 23(2), 43-55.
https://doi.org/10.2298/FIL0902043M
Malešević B, Obradović M. An application of Groebner bases to planarity of intersection of surfaces. in Filomat. 2009;23(2):43-55.
doi:10.2298/FIL0902043M .
Malešević, Branko, Obradović, Marija, "An application of Groebner bases to planarity of intersection of surfaces" in Filomat, 23, no. 2 (2009):43-55,
https://doi.org/10.2298/FIL0902043M . .
