Introducing Poset-Based Connected n-Manifolds and P-well-composedness in Partially Ordered Sets

In discrete topology, discrete surfaces are well-known for their strong topological and regularity properties. Their definition is recursive, and checking if a poset is a discrete surface is tractable. Their applications are numerous: when domain unicoherence is ensured, they lead access to the tree...

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Bibliographic Details
Published in:	Journal of mathematical imaging and vision Vol. 66; no. 1; pp. 1 - 21
Main Author:	Boutry, Nicolas
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.01.2024 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Boundaries Computer Science Continuity (mathematics) Geometry Image Processing and Computer Vision Manifolds (mathematics) Mathematical Methods in Physics Mathematical morphology Neighborhoods Rectangles Regularity Set theory Signal,Image and Speech Processing Theorems Topology Well-composedness Combinatorial manifolds Discrete topology Posets Discrete surfaces
ISSN:	0924-9907, 1573-7683
Online Access:	Get full text
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