Multidimensional Size Functions for Shape Comparison

2008/05/16 by S. Biasotti, Silvia Biasotti, A. Cerri +7 · 59 citations
Computer Science · Mathematics · #Computer science #Context (archaeology) #Digital Image Processing Techniques #Function (biology) #Geometry #Mathematics #Medical Image Segmentation Techniques #Scalar (mathematics) #Shape analysis (program analysis) #Topological and Geometric Data Analysis

paper · open access · doi:10.1007/s10851-008-0096-z

published in Journal of Mathematical Imaging and Vision 32(2), 161-179 (Springer Science and Business Media LLC)

openalex publication_date 2008/05/16 · crossref created 2008/05/16 · crossref issued 2008/05/17 · crossref published 2008/05/17 · crossref published-online 2008/05/17 · crossref published-print 2008/10/01 · crossref deposited 2025/01/30 · openalex created_date 2025/10/10 · crossref indexed 2026/04/03 · openalex updated_date 2026/07/23

Citations

• Stability of Persistence Diagrams
• Zum Hilbertschen Aufbau der reellen Zahlen
• Natural pseudo-distance and optimal matching between reduced size functions
• Topological Persistence and Simplification

Cited by

• Betti numbers in multidimensional persistent homology are stable functions
• Stable Comparison of Multidimensional Persistent Homology Groups with Torsion
• Necessary conditions for discontinuities of multidimensional persistent Betti numbers
• Size functions for comparing 3D models
• One-dimensional reduction of multidimensional persistent homology
• Stratifying Multiparameter Persistent Homology
• Estimating Multidimensional Persistent Homology Through a Finite Sampling
• Topological data analysis [wikipedia]