Strukturování digitální roviny uzávěrovými operacemi asociovanými s n-árními relacemi

Structuring Digital Plane by Closure Operators Associated with n-ary Relations

článek ve sborníku ve WoS nebo Scopus

en

We associate a closure operator with every n-ary relation (n > 1 an integer) on a given set. We focus on certain n-ary relations on the digital line Z and study the closure operators on the digital plane Z^2 that are associated with special products of pairs of the relations. These closure operators, which include the Khalimsky topology, are shown to provide well behaved connectedness, so that they may be used as background structures on the digital plane for the study of digital images.

S každou n-ární relací asociujeme uzávěrový operátor. Zaměřujeme se na jisté n-ární relace na digitální přímce Z a studujeme uzávěrové operátory na digitální rovině Z^2 asiciované se speciálními součiny dvojic těchto relací.

We associate a closure operator with every n-ary relation (n > 1 an integer) on a given set. We focus on certain n-ary relations on the digital line Z and study the closure operators on the digital plane Z^2 that are associated with special products of pairs of the relations. These closure operators, which include the Khalimsky topology, are shown to provide well behaved connectedness, so that they may be used as background structures on the digital plane for the study of digital images.

n-ární relace · uzávěrový operátor · digitální rovina · Khalimského topologie · Jordanova věta

n-ary relation · Closure operator · Digital plane · Khalimsky topology · Jordan curve theorem

20.05.2019

Springer

Svýcarsko

978-3-030-20804-2

0302-9743

Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications

2017

1

10256

16–22

7