Affine invariants of convex polygons

被引：10
|
作者：
Flusser, J [1 ]
机构：
[1] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic
来源：
IEEE TRANSACTIONS ON IMAGE PROCESSING | 2002年 / 11卷 / 09期
关键词：
affine invariants; completeness; convex polygons; independence;
D O I：
10.1109/TIP.2002.802524
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this correspondence, we prove that the affine invariants proposed recently by Yang and Cohen [1] are algebraically dependent. We show how to select an independent and complete set of the invariants. The use of this new set leads to a significant reduction of the computing complexity without decreasing the discrimination power.
引用
收藏
页码：1117 / 1118
页数：2
相关论文
共 50 条
  • [21] In the Land of Convex Polygons Discrete Geometry of Polygons
    Ninjbat, Uuganbaatar
    Gombodorj, Bayarmagnai
    Damba, Purevsuren
    RESONANCE-JOURNAL OF SCIENCE EDUCATION, 2019, 24 (05): : 583 - 595
  • [22] ON THE MODALITY OF CONVEX POLYGONS
    ABRAHAMSON, K
    DISCRETE & COMPUTATIONAL GEOMETRY, 1990, 5 (04) : 409 - 419
  • [23] On a partition into convex polygons
    Urabe, M
    DISCRETE APPLIED MATHEMATICS, 1996, 64 (02) : 179 - 191
  • [24] CONVEX LATTICE POLYGONS
    WILLS, JM
    COMMENTARII MATHEMATICI HELVETICI, 1973, 48 (02) : 188 - 194
  • [25] Reconfiguring convex polygons
    Aichholzer, O
    Demaine, ED
    Erickson, J
    Hurtado, F
    Overmars, M
    Soss, M
    Toussaint, GT
    COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2001, 20 (1-2): : 85 - 95
  • [26] THE MORPHOLOGY OF CONVEX POLYGONS
    OLARIU, S
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1992, 24 (07) : 59 - 68
  • [27] FAST CONVEX POLYGONS
    ABRASH, M
    DR DOBBS JOURNAL, 1991, 16 (03): : 129 - &
  • [28] APPROXIMATION OF CONVEX POLYGONS
    ALT, H
    BLOMER, J
    GODAU, M
    WAGENER, H
    LECTURE NOTES IN COMPUTER SCIENCE, 1990, 443 : 703 - 716
  • [29] On a partition into convex polygons
    Discrete Appl Math, 2 (179):
  • [30] Convex polygons as carriers
    Shephard, G. C.
    MATHEMATICAL GAZETTE, 2016, 100 (547): : 93 - 102
12345