Classification of non-manifold singularities from transformations of 2-manifolds

TitleClassification of non-manifold singularities from transformations of 2-manifolds
Publication TypeConference Papers
Year of Publication2009
AuthorsLeon J-C, De Floriani L, Hetroy F
Conference NameShape Modeling and Applications, 2009. SMI 2009. IEEE International Conference on
Date Published2009/06//
Keywordsclassification;search, Computer, graphic;continuous, graphics;pattern, model;nonmanifold, problems;topology;, property;computer, SHAPE, singularity;topological, transformation;nonmanifold

Non-manifold models are frequently encountered in engineering simulations and design as well as in computer graphics. However, these models lack shape characterization for modelling and searching purposes. Topological properties act as a kernel for deriving key features of objects. Here we propose a classification for the non-manifold singularities of non-manifold objects through continuous shape transformations of 2-manifolds without boundary up to the creation of non-manifold singularities. As a result, the non-manifold objects thus created can be categorized and contribute to the definition of a general purpose taxonomy for non-manifold shapes.