Size functions for comparing 3D models

2008/02/22 by Silvia Biasotti, S. Biasotti, Daniela Giorgi +5 · 1 citation
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Algorithm #Artificial intelligence #Coding (social sciences) #Computer science #Context (archaeology) #Digital Image Processing Techniques #Discrete mathematics #Feature (linguistics) #Geometry #Image Retrieval and Classification Techniques #Mathematics #Pattern recognition (psychology) #Polygon mesh #Theoretical computer science #Triangle inequality #Triangulation

paper · doi:10.1016/j.patcog.2008.02.003

openalex publication_date 2008/02/22 · crossref created 2008/02/22 · crossref issued 2008/09/01 · crossref published 2008/09/01 · crossref published-print 2008/09/01 · crossref deposited 2025/01/28 · openalex created_date 2025/10/10 · crossref indexed 2026/03/30 · openalex updated_date 2026/07/23

Citations

• Multidimensional Size Functions for Shape Comparison
• Stability of Persistence Diagrams
• Three-dimensional shape searching: state-of-the-art review and future trends
• A distance for similarity classes of submanifolds of a Euclidean space
• Zum Hilbertschen Aufbau der reellen Zahlen
• Efficiently Approximating the Minimum-Volume Bounding Box of a Point Set in Three Dimensions
• Retrieval of trademark images by means of size functions
• Content-based image retrieval at the end of the early years
• Recognition-by-components: A theory of human image understanding.
• Shape distributions
• Natural pseudo-distance and optimal matching between reduced size functions
• Topological Persistence and Simplification

Cited by

• Topological data analysis [wikipedia]