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» Branched Manifolds, knotted Surfaces and Dynamical Systems
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IJBC
2008
70views more  IJBC 2008»
13 years 4 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 4 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
13 years 9 months 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
13 years 11 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
13 years 11 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