Digital Hausdorff distance on a connected digital image
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.69, sa.2, ss.76-88, 2020 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 69 Sayı: 2
- Basım Tarihi: 2020
- Doi Numarası: 10.31801/cfsuasmas.620674
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.76-88
- Anahtar Kelimeler: digital topology, Hausdorff distance, MULTIVALUED FUNCTIONS
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
A digital image X can be considered as a subset of Zn together with an adjacency relation where Z is the set of the integers and n is a natural number. The aim of this study is to measure the closeness of two subsets of a connected digital image. To do this, we adapt the Hausdorff distance in the topological setting to its digital version. In this paper, we define a metric on a connected digital image by using the length of the shortest digital simple path. Then we use this metric to de.ne the r-thickening of the subsets of a connected digital image and de.ne the digital Hausdorff distance between them.