Topological modifications and hierarchical representation of cell complexes in arbitrary dimensions

• Published in: Computer vision and image understanding Vol. 121; pp. 2 - 12
• Main Authors: Čomić, Lidija, De Floriani, Leila, Iuricich, Federico, Fugacci, Ulderico
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2014
• Subjects: Algorithms; Cell complexes; Computational topology; Computer vision; Generators; Hierarchical models; Homology; Homology generators; Mathematical models; Operators; Preserves; Representations; Cell complexes; Homology generators; Hierarchical models; Computational topology

•A set of basis topologically consistent homology-preserving and homology-modifying operators on cell complexes is introduced.•A multi-resolution model for cell complexes (HCC) is defined.•HCC based on homology-preserving operators is implemented.•Homology generators are computed on the coarsest com...