Results 311 to 320 of about 1,618,388 (368)

Geometric models with weigthed topology [PDF]

Computers & Graphics, 2011
This paper introduces the concept of weighted topology to model a 3D object whose connectivity and metric depend on a novel notion of weighted arc-length. The weighted arc-length between any two points of the shape takes into account the fact that a part of the object may be either weakly or strongly connected to another part.
M Attene, S Biasotti
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Geometric and Topological Combinatorics

Oberwolfach Reports, 2007
The 2007 Oberwolfach meeting “Geometric and Topological Combinatorics” was organized by Anders Björner (KTH and Mittag-Leffler Institute, Stockholm), Gil Kalai (Hebrew University, Jerusalem), and Günter M. Ziegler (TU Berlin). It consisted of six one-hour lectures by Isabella Novik, Herbert Edelsbrunner, Carsten Schultz, Igor Pak, Alexander Barvinok ...
Günter M. Ziegler, Anders Björner, Gil Kalai   +2 more
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Functional topology for geometric settings

Journal of Pure and Applied Algebra, 2013
Abstract In this paper we propose two approaches to connect the functional topology theory of Clementino et al. (2004) [4] with the situation in the category Sch of schemes. In a first approach, we extend an example from [4] to a more general pattern for obtaining a class of “closed morphisms” from two auxiliary classes, “closed ...
Lowen, Wendy, Mestdagh, Joris
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Geometric, Algebraic, and Topological Combinatorics

Oberwolfach Reports, 2020
The 2019 Oberwolfach meeting “Geometric, Algebraic and Topological Combinatorics” was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a wide variety of aspects of Discrete Geometry, Algebraic Combinatorics with geometric flavor, and Topological Combinatorics.
Francisco Santos, Isabella Novik, Gil Kalai, Volkmar Welker   +3 more
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Topological and Geometric Combinatorics

Oberwolfach Reports, 2011
The 2011 Oberwolfach meeting “Topological and Geometric Combinatorics” was organized by Anders Björner (Stockholm), Gil Kalai (Jerusalem), Isabella Novik (Seattle), and Günter M. Ziegler (Berlin). It covered a wide variety of aspects of Discrete Geometry, Topological Combinatorics, and Geometric Topology.
Günter M. Ziegler, Anders Björner, Isabella Novik, Gil Kalai   +3 more
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A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applications

arXiv.org
Geometric graphs are a special kind of graph with geometric features, which are vital to model many scientific problems. Unlike generic graphs, geometric graphs often exhibit physical symmetries of translations, rotations, and reflections, making them ...
Jiaqi Han, Jiacheng Cen, Liming Wu, Zongzhao Li, Xiangzhe Kong, Rui Jiao, Ziyang Yu, Tingyang Xu, Fandi Wu, Zihe Wang, Hongteng Xu, Zhewei Wei, Yang Liu, Yu Rong, Wenbing Huang   +14 more
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Topological rewriting and the geometrization of programming

Physica D: Nonlinear Phenomena, 2008
Spatial computing is an emerging field that recognizes the importance of explicitly handling spatial relationships at three levels: computer architectures, programming languages and applications. In this context, we present MGS, an experimental programming language where data structures are fields on abstract spaces.
Giavitto, Jean-Louis, Spicher, Antoine
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TopoLogic: An Interpretable Pipeline for Lane Topology Reasoning on Driving Scenes

Neural Information Processing Systems
As an emerging task that integrates perception and reasoning, topology reasoning in autonomous driving scenes has recently garnered widespread attention.
Yanping Fu, Wenbin Liao, Xinyuan Liu, Hang Xu, Yike Ma, Feng Dai, Yucheng Zhang   +6 more
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Geometrical Introduction to Topology

2015
Let us start off with an excerpt from the introduction to Chapter V in What is mathematics? by R. Courant and H. Robbins.
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On geometric and topological reasoning in robotics

Annals of Mathematics and Artificial Intelligence, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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