A Decomposition-based Representation for 3D Simplicial Complexes Abstract (2009)
Konrad Polthier, Alla Sheffer (editors, Annie Hui, Lucas Vaczlavik, Leila De Floriani
We define a new representation for non-manifold 3D shapes described by three-dimensional simplicial complexes, that we call the Double-Level Decomposition (DLD) data structure. The DLD data structure...
of non-manifold objects (2008)
G. Elber, N. Patrikalakis, P. Brunet (editors, Leila De Floriani, Annie Hui
We address the problem of updating non-manifold mixed-dimensional objects, described by three-dimensional simplicial complexes embedded in 3D Euclidean space. We consider two local update operations,...
Representing and Understanding Non-Manifold Objects (2008)
Solid Modeling is a well-established field. The significance of the contributions of this field is visible in the availability of abundant commercial and free modeling tools for the applications of...
Abstract Representing Non-Manifold Shapes in Arbitrary Dimensions (2008)
In this paper, we describe and analyze several representations for complex shapes, i.e., multi-dimensional, nonmanifold objects with parts of mixed dimensionality, based on simplicial complexes. We...
Eurographics Symposium on Geometry Processing (2004) (2008)
R. Scopigno, D. Zorin, Leila De Floriani, David Greenfieldboyce, Annie Hui
A data structure for non-manifold simplicial d-complexes
for three-dimensional non-manifold objects (2008)
L. Kobbelt, P. Schröder, Leila De Floriani, Annie Hui
A scalable data structure
Data structures for simplicial complexes: an analysis and a comparison (2008)
M. Desbrun, H. Pottmann (editors, Leila De Floriani, Annie Hui
In this paper, we review, analyze and compare representations for simplicial complexes. We classify such representations, based on the dimension of the complexes they can encode, into...
Topological Decompositions for 3D Non-manifold Simplicial Shapes (2007)
Hui, Annie, De Floriani, Leila
Modeling and understanding complex non-manifold shapes is a key issue in several applications including form-feature identification in CAD/CAE, and shape recognition for Web searching. Geometric...
Topological Decompositions for 3D Non-manifold Simplicial Shapes (2007)
Hui, Annie, De Floriani, Leila
Modeling and understanding complex non-manifold shapes is a key issue in several applications including form-feature identification in CAD/CAE, and shape recognition for Web searching. Geometric...
A dimension-independent simplicial data structure for non-manifold shapes (2006)
Hui, Annie, De Floriani, Leila
We consider the problem of representing and manipulating non-manifold multi-dimensional shapes, discretized as $d$-dimensional simplicial Euclidean complexes, for modeling finite element meshes...
A dimension-independent simplicial data structure for non-manifold shapes (2006)
Hui, Annie, De Floriani, Leila
We consider the problem of representing and manipulating non-manifold multi-dimensional shapes, discretized as $d$-dimensional simplicial Euclidean complexes, for modeling finite element meshes...