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

页码：1117 / 1118

页数：2

共 50 条

[1] Affine invariants of generalized polygons and matching under affine transformations
Chavez, Edgar
Chavez Caliz, Ana C.
Lopez-Lopez, Jorge L.
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2016, 58 : 60 - 69
[2] Self-affine convex polygons
Hertel, Eike
Richter, Christian
JOURNAL OF GEOMETRY, 2010, 98 (1-2) : 79 - 89
[3] Self-affine convex discs are polygons
Richter, Christian
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2012, 53 (01): : 219 - 224
[4] Affine Properties of Convex Equal-Area Polygons
Marcos Craizer
Ralph C. Teixeira
Moacyr A. H. B. da Silva
Discrete & Computational Geometry, 2012, 48 : 580 - 595
[5] Affine Properties of Convex Equal-Area Polygons
Craizer, Marcos
Teixeira, Ralph C.
da Silva, Moacyr A. H. B.
DISCRETE & COMPUTATIONAL GEOMETRY, 2012, 48 (03) : 580 - 595
[6] Centro-Affine Invariants for Smooth Convex Bodies
Stancu, Alina
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, 2012 (10) : 2289 - 2320
[7] PROBABILITY POLYGONS IN CONVEX POLYGONS
BUCHTA, C
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1984, 347 : 212 - 220
[8] DISSECTIONS OF POLYGONS INTO CONVEX POLYGONS
Zak, Andrzej
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS, 2010, 20 (02) : 223 - 244
[9] Approximation of convex polygons by polygons
Koutschan, Christoph
Ponomarchuk, Anton
Schicho, Josef
2021 23RD INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2021), 2021, : 91 - 98
[10] Image registration and object recognition using affine invariants and convex hulls
Yang, ZW
Cohen, FS
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1999, 8 (07) : 934 - 946

← 1 2 3 4 5 →