The number of continuous curves in digital geometry

DOI10.4171/PM/1858zbMath1200.05017WikidataQ60692789 ScholiaQ60692789MaRDI QIDQ2269739

Shiva Samieinia

Publication date: 11 March 2010

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/journal.php?jrn=pm

zbMATH Keywords

digital geometryKhalimsky topologyKhalimsky planeKhalimsky-continuous function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (2)

Domains of holomorphy for Fourier transforms of solutions to discrete convolution equations ⋮ The Number of Khalimsky-Continuous Functions between Two Points

Uses Software

• OEIS

Cites Work

• The number of Khalimsky-continuous functions on intervals
• Computer graphics and connected topologies on finite ordered sets
• Functions on discrete sets holomorphic in the sense of Ferrand, or monodiffric functions of the second kind
• Digital straightness -- a review
• Continuous digitization in Khalimsky spaces
• Extension of continuous functions in digital spaces with the Khalimsky topology
• On the number of digital straight line segments
• Digital straight lines in the Khalimsky plane
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