A Decomposition-based Approach to Modeling and Understanding Arbitrary Shapes

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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Modeling and understanding complex non-manifold shapes is a key issue in shape analysis and retrieval. The topological structure of a non-manifold shape can be analyzed through its decomposition into a collection of components with a simpler topology. Here, we consider a representation for arbitrary shapes, that we call Manifold-Connected Decomposition (MC-decomposition), which is based on a unique decomposition of the shape into nearly manifold parts. We present efficient and powerful two-level representations for non-manifold shapes based on the MC-decomposition and on an efficient and compact data structure for encoding the underlying components. We describe a dimension-independent algorithm to generate such decomposition. We also show that the MC-decomposition provides a suitable basis for geometric reasoning and for homology computation on non-manifold shapes. Finally, we present a comparison with existing representations for arbitrary shapes.
Description

        
@inproceedings{
:10.2312/LocalChapterEvents/ItalChap/ItalianChapConf2011/053-060
, booktitle = {
Eurographics Italian Chapter Conference 2011
}, editor = {
Andrea F. Abate and Michele Nappi and Genny Tortora
}, title = {{
A Decomposition-based Approach to Modeling and Understanding Arbitrary Shapes
}}, author = {
Canino, David
and
Floriani, Leila De
}, year = {
2011
}, publisher = {
The Eurographics Association
}, ISBN = {
978-3-905673-88-3
}, DOI = {
/10.2312/LocalChapterEvents/ItalChap/ItalianChapConf2011/053-060
} }
Citation