Introduction to Solid Modeling
Introduction to Solid Modeling
Structural operators for modeling 3-manifolds
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Proceedings of the sixth ACM symposium on Solid modeling and applications
Receptive fields within the combinatorial pyramid framework
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
Computer Graphics and Geometric Modelling: Mathematics
Computer Graphics and Geometric Modelling: Mathematics
Euler operators for stratified objects with incomplete boundaries
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
GWB: A Solid Modeler with Euler Operators
IEEE Computer Graphics and Applications
Computer Aided Geometric Design
Multi-resolution cell complexes based on homology-preserving euler operators
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Topological modifications and hierarchical representation of cell complexes in arbitrary dimensions
Computer Vision and Image Understanding
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Cell complexes have extensively been used as a compact representation of both the geometry and topology of shapes. They have been the basis modeling tool for boundary representations of 3D shapes, and several dimension-specific data structures and modeling operators have been proposed in the literature. Here, we propose basic topological modeling operators for building and updating cell complexes in arbitrary dimensions. These operators either preserve the topology of the cell complex, or they modify it in a controlled way. We compare these operators with the existing ones proposed in the literature, in particular with handle operators and various Euler operators on 2D and 3D cell complexes.