Applications of the Lefschetz Number to Digital Images

作者：Ege Ozgur^*; Karaca Ismet

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2014, 21(5): 823-839.

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

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.

• 出版日期2014-12