Digitally Continuous Multivalued Functions

DOI10.1007/978-3-540-79126-3_9zbMath1138.68590OpenAlexW2140697528MaRDI QIDQ5458876

Carmen Escribano, M. Asunción Sastre, Antonio Giraldo

Publication date: 24 April 2008

Published in: Discrete Geometry for Computer Imagery (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-79126-3_9

zbMATH Keywords

retractioncontinuous functionsimple pointDigital space

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (12)

Connectivity preserving multivalued functions in digital topology ⋮ Digital Hausdorff distance on a connected digital image ⋮ On the composition of digitally continuous multivalued functions ⋮ Digitally continuous multivalued functions, morphological operations and thinning algorithms ⋮ Digital shy maps ⋮ Alternate product adjacencies in digital topology ⋮ A fundamental group for digital images ⋮ Characterization of the deletion of \((26, 6)\)-simple points as multivalued \((\mathcal{N}, 26)\)-retractions ⋮ Homotopy theory in digital topology ⋮ Thinning Algorithms as Multivalued ${\mathcal{N}}$ -Retractions ⋮ Multivalued functions in digital topology ⋮ Subdivision of maps of digital images

Cites Work

• A classical construction for the digital fundamental group
• Intersection number and topology preservation within digital surfaces.
• Strong thinning and polyhedric approximation of the surface of a voxel object
• Homotopy properties of sphere-like digital images
• Properties of digital homotopy
• ‘Continuous’ functions on digital pictures
• Digitally continuous functions
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