Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Similarity Retrieval of Trademark Images
IEEE MultiMedia
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A Survey of Content Based 3D Shape Retrieval Methods
SMI '04 Proceedings of the Shape Modeling International 2004
SMI '04 Proceedings of the Shape Modeling International 2004
Persistence barcodes for shapes
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Three-dimensional shape searching: state-of-the-art review and future trends
Computer-Aided Design
Retrieving articulated 3-d models using medial surfaces and their graph spectra
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Size functions for comparing 3D models
Pattern Recognition
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Multi-scale Representation and Persistency for Shape Description
MDA '08 Proceedings of the 3rd international conference on Advances in Mass Data Analysis of Images and Signals in Medicine, Biotechnology, Chemistry and Food Industry
Comparing sets of 3D digital shapes through topological structures
GbRPR'07 Proceedings of the 6th IAPR-TC-15 international conference on Graph-based representations in pattern recognition
Persistent homology and partial similarity of shapes
Pattern Recognition Letters
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This paper sketches a technique for 3D model retrieval built on size functions, a mathematical tool to compare shapes. Size functions are introduced for the first time to discriminate among 3D objects, through the proposal of an innovative method to construct size graphs independently of the underlying triangulation. We demonstrate the potential of our approach in a series of comparative experiments with respect to existing techniques.