Journal ArticleDOI
Sub-part correspondence by structural descriptors of 3D shapes
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TLDR
This paper describes a method for partial shape-matching able to recognize similar sub-parts of objects represented as 3D polygonal meshes that can effectively support the re-use of CAD models.Abstract:
To fully exploit the valuable knowledge embedded in repositories of digital models, it is crucial to devise search engines capable of expressing high-level and advanced queries, which can effectively support the re-use of CAD models. The retrieval mechanism should be able to return not only global similarity measures among objects, but it should also be coupled with methods for the automatic identification of similar sub-parts in the query and retrieved models, possibly highlighting automatically the object differences. This paper describes a method for partial shape-matching able to recognize similar sub-parts of objects represented as 3D polygonal meshes. The geometry and the structure of the shapes are coupled in a descriptor that provides a flexible coding, grounded on solid mathematical theories, and that can be adapted to the user’s needs and to the context of applications. The matching framework for sub-part correspondence is achieved through a graph-matching technique, which builds the common sub-graphs between the two shapes and highlights the maximal sub-parts having similar structure and similar space distribution.read more
Citations
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Journal ArticleDOI
A Survey on Shape Correspondence
TL;DR: This survey is motivated in part by recent developments in space–time registration, where one seeks a correspondence between non‐rigid and time‐varying surfaces, and semantic shape analysis, which underlines a recent trend to incorporate shape understanding into the analysis pipeline.
Proceedings ArticleDOI
Salient local visual features for shape-based 3D model retrieval
TL;DR: A shape-based 3D model retrieval method based on multi-scale local visual features that achieves the performance comparable or superior to some of the most powerful 3D shape retrieval methods.
Proceedings Article
A Survey on Shape Correspondence.
TL;DR: This survey is motivated in part by recent developments in space–time registration, where one seeks a correspondence between non-rigid and time-varying surfaces, and semantic shape analysis, which underlines a recent trend to incorporate shape understanding into the analysis pipeline.
Journal ArticleDOI
Reeb graphs for shape analysis and applications
TL;DR: An overview of the mathematical properties of Reeb graphs is provided and its history in the Computer Graphics context is reconstructed, with an eye towards directions of future research.
Journal ArticleDOI
Describing shapes by geometrical-topological properties of real functions
Silvia Biasotti,L. De Floriani,Bianca Falcidieno,Patrizio Frosini,Daniela Giorgi,Claudia Landi,Laura Papaleo,Michela Spagnuolo +7 more
TL;DR: This survey is to provide a clear vision of what has been developed so far, focusing on methods that make use of theoretical frameworks that are developed for classes of real functions rather than for a single function, even if they are applied in a restricted manner.
References
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