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Digitalna topologija na grafih
ID Drusany, Jakob (Author), ID Pavešić, Petar (Mentor) More about this mentor... This link opens in a new window

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Abstract
V delu obravnavajte vprašanje, ali je mogoče grafe, ki opisujejo digitalizirane slike, opremiti s kompatibilno topologijo v smislu, da se za poljuben del slike povezanost induciranega podgrafa ujema s topološko povezanostjo. Za osnovo vzemite članek "D. Nogly, M. Schladt. Digital Topology on graphs. Computer vision and image understanding, Vol. 63 (No. 2): 394 - 396}".

Language:Slovenian
Keywords:procesiranje slik, simplicialni kompleksi, topologija aleksandrova, teorija grafov
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FRI - Faculty of Computer and Information Science
Year:2024
PID:20.500.12556/RUL-162181 This link opens in a new window
COBISS.SI-ID:214136067 This link opens in a new window
Publication date in RUL:19.09.2024
Views:138
Downloads:28
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Secondary language

Language:English
Title:Digital topology on graphs
Abstract:
In your thesis consider the question of whether it is possible to equip graphs describing digital images with a compatible topology in the sense that for any part of the image the connectivity of the induced subgraph matches the topological connectivity. Base your thesis on the article "D. Nogly, M. Schladt. Digital Topology on graphs. Computer vision and image understanding, Vol. 63 (No. 2): 394 - 396}''.

Keywords:image processing, simplicial complexes, Alexandrov topology, graph theory

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