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» Branched Manifolds, knotted Surfaces and Dynamical Systems
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IJBC
2008
70views more  IJBC 2008»
13 years 7 months ago
Branched Manifolds, knotted Surfaces and Dynamical Systems
: The main goal of this paper is to introduce part of a new approach of proving the existence of a nontrivial knot on any embedded template. This proof in branched 2-manifold case,...
W. Chen, Stephen P. Banks
CGF
2007
156views more  CGF 2007»
13 years 7 months ago
QuadCover - Surface Parameterization using Branched Coverings
We introduce an algorithm for the automatic computation of global parameterizations on arbitrary simplicial 2manifolds, whose parameter lines are guided by a given frame field, f...
Felix Kälberer, Matthias Nieser, Konrad Polth...
PG
2002
IEEE
14 years 9 days ago
A Physics-Based Framework for Subdivision Surface Design with Automatic Rules Control
The recent non-uniform subdivision approach extends traditional uniform subdivision schemes with variable rules, offering additional shape parameters (such as knot spacings) for f...
Hui Xie, Hong Qin
CGI
2006
IEEE
14 years 1 months ago
Spline Thin-Shell Simulation of Manifold Surfaces
It has been technically challenging to effectively model and simulate elastic deformation of spline-based, thin-shell objects of complicated topology. This is primarily because tra...
Kexiang Wang, Ying He 0001, Xiaohu Guo, Hong Qin
IEEEICCI
2008
IEEE
14 years 1 months ago
The computational manifold approach to consciousness and symbolic processing in the cerebral cortex
—A new abstract model of computation, the computational manifold, provides a framework for approaching the problems of consciousness, awareness, cognition and symbolic processing...
Douglas S. Greer