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» Triangulating Topological Spaces
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CASON
2009
IEEE
15 years 7 months ago
A Space-Based Layout Algorithm for the Drawing of Co-citation Networks
We present in this paper a drawing algorithm to represent graphically co-citation networks (scientograms). These networks have some interesting and unusual topological properties ...
Arnaud Quirin, Oscar Cordón
112
Voted
CA
2000
IEEE
15 years 5 months ago
Space-Time and Higher Dimensional Modeling for Animation
There are limitations to the current BRep based “model then animate” paradigm when animating time-dependent (dynamic) objects. This paper describes an approach to modeling dyn...
Eric Fausett, Alexander A. Pasko, Valery Adzhiev
97
Voted
JANCL
2002
91views more  JANCL 2002»
15 years 11 days ago
A Modal Walk Through Space
We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-str...
Marco Aiello, Johan van Benthem
COMPGEOM
2006
ACM
15 years 6 months ago
A sampling theory for compact sets in Euclidean space
Abstract We introduce a parameterized notion of feature size that interpolates between the minimum of the local feature size and the recently introduced weak feature size. Based on...
Frédéric Chazal, David Cohen-Steiner...
92
Voted
CCCG
2009
15 years 1 months ago
On the Height of a Homotopy
Given 2 homotopic curves in a topological space, there are several ways to measure similarity between the curves, including Hausdorff distance and Fr
Erin W. Chambers, David Letscher