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GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
15 years 1 months ago
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
In this paper, we present a method for constructing Loop’s subdivision surface patches with given G1 boundary conditions and a given topology of control polygon of the subdivisi...
Guoliang Xu, Qing Pan
COMPGEOM
2005
ACM
14 years 12 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
ACS
2007
14 years 10 months ago
Axioms for Sequential Convergence
: It is of general knowledge that those (ultra)filter convergence relations coming from a topology can be characterized by two natural axioms. However, the situation changes consi...
Gonçalo Gutierres, Dirk Hofmann
SIAMJO
2008
110views more  SIAMJO 2008»
14 years 10 months ago
Subdifferential Calculus Rules in Convex Analysis: A Unifying Approach Via Pointwise Supremum Functions
We provide a rule to calculate the subdifferential of the pointwise supremum of an arbitrary family of convex functions defined on a real locally convex topological vector space. ...
Abderrahim Hantoute, Marco A. López, Consta...
ACS
2004
14 years 10 months ago
Components of the Fundamental Category
Inthis article westudy the fundamental category (Goubault and Raussen, 2002 Goubault, 2002) of a partially ordered topological space (Nachbin, 1965 Johnstone, 1982), as arising in ...
Lisbeth Fajstrup, Martin Raußen, Eric Goubau...