Constructive non-regularized geometry
Computer-Aided Design - Beyond solid modelling
A mathematical model for boundary representations of n-dimensional geometric objects
Proceedings of the fifth ACM symposium on Solid modeling and applications
Nonmanifold Topology Based on Coupling Entities
IEEE Computer Graphics and Applications
A concise b-rep data structure for stratified subanalytic objects
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Winged edge polyhedron representation.
Winged edge polyhedron representation.
Topological operators on cell complexes in arbitrary dimensions
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
Topological modifications and hierarchical representation of cell complexes in arbitrary dimensions
Computer Vision and Image Understanding
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Stratified objects such as those found in geometry-based systems (e.g. CAD systems and animation systems) can be stepwise constructed and manipulated through Euler operators. The operators proposed in this paper extend prior operators (e.g. the Euler-Masuda operators) provided that they can process n-dimensional stratified subanalytic objects with incomplete boundaries. The subanalytic objects form the biggest closed family of geometric objects defined by analytic functions. Basically, such operators are attachment, detachment, subdivision, and coaslescence operations without a prescribed order, providing the user with significant freedom in the design and programming of geometric applications.