Applications of the Lefschetz Number to Digital Images

被引：8

作者：

Ege, Ozgur ^{[1
]}

Karaca, Ismet ^{[2
]}

机构：

[1] Celal Bayar Univ, Dept Math, TR-45140 Muradiye, Manisa, Turkey

[2] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2014年 / 21卷 / 05期

关键词：

Digital image; the Lefschetz Fixed Point Theorem; the Euler Characteristic; Lefschetz number;

D O I：

10.36045/bbms/1420071856

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The goal of this paper is to develop some applications of the Lefschetz fixed point theorem to digital images. We also deal with relative and reduced Lefschetz fixed point theorem for digital complexes. We give some examples related to the topic. We calculate the degree of the antipodal map for sphere-like digital images using fixed point properties.

引用

页码：823 / 839

页数：17

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