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https://open.uns.ac.rs/handle/123456789/9009
Title: | Multi-resolution cell complexes based on homology-preserving euler operators | Authors: | Čomić, Lidija De Floriani L. Iuricich F. |
Issue Date: | 5-Apr-2013 | Journal: | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Abstract: | We have proposed a complete set of basis Euler operators for updating cell complexes in arbitrary dimensions, which can be classified as homology-preserving and homology-modifying. Here, we define the effect of homology-preserving operators on the incidence graph representation of cell complexes. Based on these operators, we build a multi-resolution model for cell complexes represented in the form of the incidence graph, and we compare its 2D instance with the pyramids of 2-maps, designed for images. © 2013 Springer-Verlag Berlin Heidelberg. | URI: | https://open.uns.ac.rs/handle/123456789/9009 | ISBN: | 9783642370663 | ISSN: | 3029743 | DOI: | 10.1007/978-3-642-37067-0-28 |
Appears in Collections: | FTN Publikacije/Publications |
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