Publication detail

Thresholding of a Digital Image by Free Terms

PAVLÍK, J.

Original Title

Type

journal article in Web of Science

Language

English

Original Abstract

The method of fuzzy segmentation of a digital image is generalized to the framework of L-fuzzy sets. Such an approach enables the use of various user-defined criteria for comparison of pairs of objects. These criteria are merged into a single mapping whose codomain is a poset. Then a free lattice structures are introduced and the procedure of Lfuzzy equivalence generation follows. The obtained L-fuzzy partition is then transformed into the resulting sets using the process of thresholding by terms from the free lattice. Discussion on applicability and computability of the results is presented and some examples are shown. Possible ways of improvements are suggested.

Keywords

Digital image, Thresholding, Segmentation, Fuzzy relation, Free lattice, Free term

Authors

PAVLÍK, J.

RIV year

2014

Released

7. 9. 2014

Publisher

Springer Science+Business Media

Location

New York

ISBN

0924-9907

Periodical

JOURNAL OF MATHEMATICAL IMAGING AND VISION

Year of study

2015

Number

State

Kingdom of the Netherlands

Pages from

338

Pages to

354

Pages count

BibTex

@article{BUT109274,
  author="Jan {Pavlík}",
  title="Thresholding of a Digital Image by Free Terms",
  journal="JOURNAL OF MATHEMATICAL IMAGING AND VISION",
  year="2014",
  volume="2015",
  number="51",
  pages="338--354",
  doi="10.1007/s10851-014-0526-z",
  issn="0924-9907"
}