APPARENT CONTOURS OF NONSINGULAR REAL CUBIC SURFACES

被引：1
|
作者：
Finashin, Sergey [1 ]
Kharlamov, Viatcheslav
机构：
[1] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 10期
关键词：
EMBEDDINGS; NUMBER;
D O I：
10.1090/S0002-9947-2015-06286-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a complete deformation classification of real Zariski sextics, that is, of generic apparent contours of nonsingular real cubic surfaces. As a by-product, we observe a certain "reversion" duality in the set of deformation classes of these sextics.
引用
收藏
页码：7221 / 7289
页数：69
相关论文
共 50 条
  • [1] Rational parametrizations of nonsingular real cubic surfaces
    Bajaj, CL
    Holt, RJ
    Netravali, AN
    ACM TRANSACTIONS ON GRAPHICS, 1998, 17 (01): : 1 - 31
  • [2] A remark on parameterizing nonsingular cubic surfaces
    Polo-Blanco, Irene
    Top, Jaap
    COMPUTER AIDED GEOMETRIC DESIGN, 2009, 26 (08) : 842 - 849
  • [3] Implicitization and parametrization of nonsingular cubic surfaces
    Berry, TG
    Patterson, RR
    COMPUTER AIDED GEOMETRIC DESIGN, 2001, 18 (08) : 723 - 738
  • [4] A remark on parameterizing nonsingular cubic surfaces
    Department Matesco, University of Cantabria, Avda de los Castros s/n, 39005 Santander, Spain
    不详
    Comput Aided Geom Des, 8 (842-849):
  • [5] Apparent Contours for Projections of Smooth Surfaces
    Damon, James
    Giblin, Peter
    Haslinger, Gareth
    LOCAL FEATURES IN NATURAL IMAGES VIA SINGULARITY THEORY, 2016, 2165 : 23 - 33
  • [6] APPARENT CONTOURS OF STABLE MAPS BETWEEN CLOSED SURFACES
    Yamamoto, Takahiro
    KODAI MATHEMATICAL JOURNAL, 2017, 40 (02) : 358 - 378
  • [7] Survey of apparent contours of stable maps between surfaces
    Yamamoto, Takahiro
    SINGULARITIES IN GEOMETRY AND TOPOLOGY 2011, 2015, 66 : 13 - 29
  • [8] APPARENT CONTOURS OF STABLE MAPS OF SURFACES WITH BOUNDARY INTO THE PLANE
    Yamamoto, Takahiro
    JOURNAL OF SINGULARITIES, 2020, 22 : 114 - 133
  • [9] Nonsingular cubic surfaces over F2k
    Karaoglu, Fatma
    TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (06) : 2492 - 2510
  • [10] Geometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces
    Guo, Minghao
    Wu, Tieru
    Zhang, Shugong
    JOURNAL OF APPLIED MATHEMATICS, 2011,
12345