Digital Hausdorff distance on a connected digital image

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Atıf İçin Kopyala

Vergili T.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.69, sa.2, ss.76-88, 2020 (ESCI)

• 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.