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A continuous analog for 4-dimensional objects
- Source :
- idUS. Depósito de Investigación de la Universidad de Sevilla, instname, Annals of Mathematics and Artificial Intelligence, Annals of Mathematics and Artificial Intelligence, Springer Verlag, 2013, 67 (1), pp.71-80. ⟨10.1007/s10472-013-9336-z⟩, Annals of Mathematics and Artificial Intelligence, 2013, 67 (1), pp.71-80. ⟨10.1007/s10472-013-9336-z⟩
- Publication Year :
- 2013
-
Abstract
- In this paper, we follow up on the studies developed by Kovalevsky (Comput Vis Graph Image Process 46:141---161, 1989) and Kenmochi et al. (Comput Vis Image Underst 71:281---293, 1998), which defined a continuous analog for a 4-dimensional digital object. Here, we construct a cell complex that has the same topological information as the original 4-dimensional digital object.
- Subjects :
- Binary Object
Cell complex
[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH]
Complex system
0102 computer and information sciences
02 engineering and technology
Isometry
[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]
Isometry (Riemannian geometry)
01 natural sciences
Image (mathematics)
Artificial Intelligence
0202 electrical engineering, electronic engineering, information engineering
Discrete cell Embedded cell
[INFO]Computer Science [cs]
ComputingMilieux_MISCELLANEOUS
Binary object
Mathematics
Discrete mathematics
Applied Mathematics
Process (computing)
Construct (python library)
[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]
010201 computation theory & mathematics
Graph (abstract data type)
020201 artificial intelligence & image processing
Algorithm
Subjects
Details
- Language :
- English
- ISSN :
- 10122443 and 15737470
- Database :
- OpenAIRE
- Journal :
- idUS. Depósito de Investigación de la Universidad de Sevilla, instname, Annals of Mathematics and Artificial Intelligence, Annals of Mathematics and Artificial Intelligence, Springer Verlag, 2013, 67 (1), pp.71-80. ⟨10.1007/s10472-013-9336-z⟩, Annals of Mathematics and Artificial Intelligence, 2013, 67 (1), pp.71-80. ⟨10.1007/s10472-013-9336-z⟩
- Accession number :
- edsair.doi.dedup.....68d3722341a4e84451a0f1609bc3dcbf
- Full Text :
- https://doi.org/10.1007/s10472-013-9336-z⟩