: 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,...
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...
The recent non-uniform subdivision approach extends traditional uniform subdivision schemes with variable rules, offering additional shape parameters (such as knot spacings) for f...
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...
—A new abstract model of computation, the computational manifold, provides a framework for approaching the problems of consciousness, awareness, cognition and symbolic processing...