Results 1 to 10 of about 258,358 (333)
Topology of geometric joins [PDF]
We consider the geometric join of a family of subsets of the Euclidean space. This is a construction frequently used in the (colorful) Carath\'eodory and Tverberg theorems, and their relatives.
Barany, Imre +2 more
core +7 more sources
Automatic, Multiview, Coplanar Extraction for CityGML Building Model Texture Mapping
Most 3D CityGML building models in street-view maps (e.g., Google, Baidu) lack texture information, which is generally used to reconstruct real-scene 3D models by photogrammetric techniques, such as unmanned aerial vehicle (UAV) mapping.
Haiqing He +6 more
doaj +1 more source
A fibering theorem for 3-manifolds [PDF]
We generalize a result of Moon on the fibering of certain 3-manifolds over the circle. Our main theorem is the following: Let $M$ be a closed 3-manifold.
Jordan A. Sahattchieve
doaj +1 more source
Rule-based transformations for geometric modelling [PDF]
The context of this paper is the use of formal methods for topology-based geometric modelling. Topology-based geometric modelling deals with objects of various dimensions and shapes.
Thomas Bellet +2 more
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Geometric Tomography with Topological Guarantees [PDF]
We consider the problem of reconstructing a compact 3-manifold (with boundary) embedded in $\mathbb{R}^3$ from its cross-sections $\mathcal S$ with a given set of cutting planes $\mathcal P$ having arbitrary orientations. Using the obvious fact that a point $x \in \mathcal P$ belongs to the original object if and only if it belongs to $\mathcal S$, we ...
Amini, Omid +2 more
openaire +7 more sources
Structure of symmetry group of some composite links and some applications
In this paper, we study the symmetry group of a type of composite topological links, such as 22m#22 . We have done a complete analysis on the elements of the symmetric group of this link and show the structure of the group. The results can be generalized
Yang Liu
doaj +1 more source
Topology-Preserving and Geometric Feature-Correction Watermarking of Vector Maps
Digital watermarking is an effective method of vector map copyright protection. However, the topology and geometric features are potentially influenced by the disturbances of vertices caused by watermark embedding, thus reducing the availability of ...
Xu Xi +4 more
doaj +1 more source
Shape correspondence for cel animation based on a shape association graph and spectral matching
We present an effective spectral matching method based on a shape association graph for finding region correspondences between two cel animation keyframes.
Shaolong Liu +4 more
doaj +1 more source
AUTOMATIC TOPOLOGY DERIVATION FROM IFC BUILDING MODEL FOR IN-DOOR INTELLIGENT NAVIGATION [PDF]
With the goal to achieve an accuracy navigation within the building environment, it is critical to explore a feasible way for building the connectivity relationships among 3D geographical features called in-building topology network. Traditional topology
S. J. Tang +3 more
doaj +1 more source
The Problems of Dimension Four, and Some Ramifications
In this short note, I present a very quick review of the peculiarities of dimension four in geometric topology. I consider, in particular, the role of geometric simple connectivity (which means handle decomposition without handles of index one) for both ...
Valentin Poénaru
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